CohereLabs/kaleidoscope · Datasets at Hugging Face

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en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	14	Two vectors x and y are shown in the figure. The projection vector of x on y is	[ "(xᵀy/yᵀy)y", "x y", "(x * y)/(yᵀy)", "(xᵀy/xᵀx)*x" ]	0	mn_question_14.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_14.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	17	Match the rock with its metamorphosed form	[ "P-II, Q-IV, R-I, S-III", "P-III, Q-I, R-IV, S-II", "P-IV, Q-III, R-I, S-II", "P-II, Q-III, R-IV, S-I" ]	0	mn_question_17.png	essential	table	null	data/GATE_2022_Multimodal/images/mn_question_17.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	19	A square pattern of blasting is shown in the figure. For the case of simultaneous blast, identify the zone of no fragmentation	[ "P", "Q", "R", "S" ]	2	mn_question_19.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_19.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	20	In the truss shown in the figure, the force in the member BD, in kN is_____.	[ "7", "5", "2", "0" ]	3	mn_question_20.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_20.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	21	The correct vertical stress profile in the case of tributary area method for pillar design is	[ "I", "II", "III", "IV" ]	2	mn_question_21.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_21.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	22	The bottom section of a stoping block has dimensions 200 m × 40 m. If the modified RMR of rock mass is 50, the appropriate method of mining on the basis of Laubscher’s chart in the figure is	[ "Shrinkage stoping", "Cut and fill", "Block Caving", "Sublevel stoping" ]	1	mn_question_22.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_22.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	23	Match the machine with its component	[ "P-III, Q-IV, R-I, S-II", "P-IV, Q-III, R-I, S-II", "P-III, Q-IV, R-II, S-I", "P-IV, Q-III, R-II, S-I" ]	0	mn_question_23.png	essential	table	null	data/GATE_2022_Multimodal/images/mn_question_23.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	36	Match the drilling pattern with mining operation	[ "P→II, Q→III, R→I, S→II", "P→III, Q→IV, R→I, S→II", "P→II, Q→I, R→IV, S→III", "P→III, Q→IV, R→II, S→I" ]	3	mn_question_36.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_36.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	37	The closest match of the scatter plot between the variables X and Y with the approximate attribute is	[ "P→I, Q→II, R→III, S→IV", "P→II, Q→I, R→IV, S→III", "P→III, Q→IV, R→I, S→II", "P→IV, Q→II, R→III, S→I" ]	3	mn_question_37.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_37.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	38	A 3-point borehole extensometer is installed to identify the location of a single discontinuity plane in a hanging wall rock by measuring deformations at three locations as shown in the figure. The absolute readings of deformations measured on two different dates are listed in the table. Based on the measured data the most likely inference is	[ "Discontinuity between Anchor-1 and Anchor-2", "Discontinuity between Anchor-2 and Anchor-3", "Discontinuity between Anchor-3 and excavation boundary", "No noticeable discontinuity" ]	1	mn_question_38.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_38.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	39	Match the semi-variogram shape with the model name and the property.	[ "P→III→E, Q→II→F, R→IV→E, S→I→G", "P→II→F, Q→I→G, R→III→E, S→IV→E", "P→IV→G, Q→III→F, R→II→E, S→I→E", "P→II→E, Q→I→E, R→III→F, S→IV→G" ]	0	mn_question_39.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_39.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	40	In a uniaxial compressive strength test, a rock sample of diameter 50 mm fails at an angle of 60o as shown in the figure. If the peak load at failure is 120 kN, the normal and shear stresses on failure plane respectively, in MPa are_______ and _____.	[ "15.28 and 26.46", "26.46 and 15.28", "57.02 and -15.28", "-15.28 and 15.28" ]	0	mn_question_40.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_40.png	STEM
en	India	mn_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf	Education and Research	Graduate Level	Engineering	खनन अभियांत्रिकी	41	A coal mining company examines the option of buying two types of dumpers with the following details. In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are	[ "20, 15", "0, 30", "0, 31", "40, 0" ]	0	mn_question_41.png	essential	diagram	null	data/GATE_2022_Multimodal/images/mn_question_41.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	6	The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes 1-1, 2-2 or 3-3 chosen uniformly at random. What is the probability that the disc DOES NOT retain the same front and rear views after the flipping operation?	[ "0", "1/3", "2/3", "1" ]	2	ee_question_5.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_5.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	10	An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases. Which one of the following is a part of a possible trajectory of the ant during the movement?	[ "A", "B", "C", "D" ]	2	ee_question_10.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_10.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	11	The transfer function of a real system, 𝐻(𝑠), is given as in the figure. This system cannot operate as:	[ "low pass filter.", "high pass filter.", "band pass filter.", "an integrator." ]	1	ee_question_11.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_11.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	14	The geometric mean radius of a conductor, having four equal strands with each strand of radius ‘𝑟’, as shown in the figure below, is	[ "4 𝑟", "1.414 𝑟", "2 𝑟", "1.723 𝑟" ]	3	ee_question_14.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_14.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	16	The steady state output (𝑉ₒᵤₜ), of the circuit shown below, will	[ "saturate to +VDD", "saturate to -VEE", "become equal to 0.1 V", "become equal to –0.1 V" ]	1	ee_question_16.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_16.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	17	The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is −180°. This system has	[ "one LHP pole and one RHP zero at the same frequency.", "one LHP pole and one LHP zero at the same frequency.", "two LHP poles and one RHP zero.", "two RHP poles and one LHP zero." ]	0	ee_question_17.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_17.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	21	In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 100√3 𝑉 with phase sequence 𝐴𝐵𝐶. The star connected load has 𝑍A = 10 Ω and 𝑍B = 20∠60° Ω. The value of 𝑍(cid:3004) in Ω, for which the voltage difference across the nodes 𝑛 and 𝑛′ is zero, is	[ "20∠−30°", "20∠30°", "20∠−60°", "20∠60°" ]	2	ee_question_21.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_21.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	25	For the circuit shown below with ideal diodes, the output will be	[ "𝑉ₒᵤₜ = 𝑉ᵢₙ for 𝑉ᵢₙ > 0", "𝑉ₒᵤₜ = 𝑉ᵢₙ for 𝑉ᵢₙ < 0", "𝑉ₒᵤₜ = - 𝑉ᵢₙ for 𝑉ᵢₙ > 0", "𝑉ₒᵤₜ = - 𝑉ᵢₙ for 𝑉ᵢₙ < 0" ]	0	ee_question_25.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_25.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	36	The output impedance of a non-ideal operational amplifier is denoted by Zₒᵤₜ. The variation in the magnitude of Zₒᵤₜ with increasing frequency, f, in the circuit shown below, is best represented by	[ "A", "B", "C", "D" ]	2	ee_question_36.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_36.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	37	An LTI system is shown in the figure. The values of ‘𝑎’ and ‘𝑏’ will be	[ "𝑎 = 1, 𝑏 = 10", "𝑎 = 10, 𝑏 = 1", "𝑎 = 1, 𝑏 = 100", "𝑎 = 100, 𝑏 = 1" ]	0	ee_question_37.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_37.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	38	The open loop transfer function of a unity gain negative feedback system is given as 𝐺(𝑠) = 1/𝑠(𝑠+1). The Nyquist contour in the 𝑠-plane encloses the entire right half plane and a small neighbourhood around the origin in the left half plane, as shown in the figure below. The number of encirclements of the point (−1 + 𝑗0) by the Nyquist plot of 𝐺(𝑠), corresponding to the Nyquist contour, is denoted as 𝑁. Then 𝑁 equals to	[ "0", "1", "2", "3" ]	1	ee_question_38.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_38.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	39	The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as 𝜁 and 𝜔ₙ, respectively. The values of 𝜁 and 𝜔ₙ	[ "𝜁 = 0.5 and 𝜔ₙ = 10 rad/s", "𝜁 = 0.1 and 𝜔ₙ = 10 rad/s", "𝜁 = 0.707 and 𝜔ₙ = 10 rad/s", "𝜁 = 0.707 and 𝜔ₙ = 100 rad/s" ]	0	ee_question_39.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_39.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	44	The current gain (Iout/Iin) in the circuit with an ideal current amplifier given below is	[ "𝐶բ/𝐶꜀", "-𝐶բ/𝐶꜀", "𝐶꜀/𝐶բ", "-𝐶꜀/𝐶բ" ]	2	ee_question_44.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_44.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	48	Consider the system as shown below. The system is	[ "linear and causal.", "linear and non-causal.", "non-linear and causal.", "non-linear and non-causal." ]	1	ee_question_48.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_48.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	51	The current gain (Iout/Iin) in the circuit with an ideal current amplifier given below isLet 𝑅 be a region in the first quadrant of the 𝑥𝑦 plane enclosed by a closed curve 𝐶 considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region 𝑅?	[ "A", "B", "C", "D" ]	2	ee_question_51.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_51.png	STEM
en	India	ee_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf	Education and Research	Graduate Level	Engineering	विद्युत अभियन्त्रण	53	As shown in the figure below, two concentric conducting spherical shells, centered at r = 0 and having radii r = c and r = d are maintained at potentials such that the potential V(r) at r = c is V₁ and V(r) at r = d is V₂. Assume that V(r) depends only on r, where r is the radial distance. The expression for V(r) in the region between r = c and r = d is	[ "A", "B", "C", "D" ]	1	ee_question_53.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ee_question_53.png	STEM
en	India	ce1_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	16	Consider the cross-section of a beam made up of thin uniform elements having thickness t (t << a) shown in the figure. The (x, y) coordinates of the points along the center-line of the cross-section are given in the figure. The coordinates of the shear center of this cross-section are:	[ "x=0, y=3a", "x=2a, y=2a", "x=-a, y=2a", "x=-2a, y=a" ]	0	ce1_question_16.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce1_question_16.png	STEM
en	India	ce1_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	19	With respect to fluid flow, match the following in Column X with Column Y. Which one of the following combinations is correct?	[ "(P)— (II), (Q)- (IV), (R)- (I), (S)- (III)", "(P)— (III), (Q)— (IV), (R)-(I), (S)- (II)", "(P)— (IV), (Q)- (II), (R)- (I), (S)- (III)", "(P)— (II), (Q)— (IV), (R)- (III), (S)- (I)" ]	0	ce1_question_19.png	essential	table	null	data/GATE_2022_Multimodal/images/ce1_question_19.png	STEM
en	India	ce1_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	37	A semi-circular bar of radius R m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude P kN is applied at the end H. The magnitude of the axial force, shear force, and bending moment at point Q for Θ = 45°, respectively, are:	[ "P/√2 kN, P/√2 kN, and PR/√2 kNm", "P/√2 kN, P/√2 kN, and 0 kNm", "0 kN, P/√2 kN, and PR/√2 kNm", "P/√2 kN, 0 kN, and PR/√2 kNm" ]	0	ce1_question_37.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce1_question_37.png	STEM
en	India	ce1_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	38	A weld is used for joining an angle section ISA 100 mm x 100 mm = 10 mm to a gusset plate of thickness 15 mm to transmit a tensile load. The permissible stress in the angle is 150 MPa and the permissible shear stress on the section through the throat of the fillet weld is 108 MPa. The location of the centroid of the angle is represented by Cᵧᵧ in the figure, where Cᵧᵧ = 28.4 mm. The area of cross-section of the angle is 1903 mm². Assuming the effective throat thickness of the weld to be 0.7 times the given weld size, the lengths L₁ and L₂ (rounded-off to the nearest integer) of the weld required to transmit a load equal to the full strength of the tension member are, respectively	[ "541 mm and 214 mm", "214 mm and 541 mm", "380 mm and 151 mm", "151 mm and 380 mm" ]	0	ce1_question_38.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce1_question_38.png	STEM
en	India	ce1_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	39	The project activities are given in the following table along with the duration and dependency. Which one of the following combinations is correct?	[ "Total duration of the project = 22 days, Critical path is Q -> S", "Total duration of the project = 20 days, Critical path is Q -> T", "Total duration of the project = 22 days, Critical path is P -> T", "Total duration of the project = 20 days, Critical path is P -> R" ]	0	ce1_question_39.png	essential	table	null	data/GATE_2022_Multimodal/images/ce1_question_39.png	STEM
en	India	ce1_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	40	The correct match between the physical states of the soils given in Group I and the governing conditions given in Group II is	[ "1-S, 2-P, 3-Q, 4-R", "1-Q, 2-S, 3-P, 4-R", "1-Q, 2-P, 3-R, 4-S", "1-S, 2-Q, 3-P, 4-R" ]	0	ce1_question_40.png	essential	table	null	data/GATE_2022_Multimodal/images/ce1_question_40.png	STEM
en	India	ce1_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	44	Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-flow diagram. Denote their corresponding traffic densities by kP, kQ, kR, and kS, respectively. The correct order of these densities is:	[ "kP > kQ > kR > kS", "kS > kR > kQ > kP", "kQ > kR > kS > kP", "kQ > kR > kP > kS" ]	0	ce1_question_44.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce1_question_44.png	STEM
en	India	nm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/nm_2022.pdf	Education and Research	Graduate Level	Engineering	नौसेना वास्तुकला और समुद्री अभियांत्रिकी	40	Consider the wave elevation spectrum 𝑆ₙₙ (𝜔) as shown in the figure. Then, the significant wave height is ________ m.	[ "2", "4", "6", "8" ]	3	nm_question_40.png	essential	diagram	null	data/GATE_2022_Multimodal/images/nm_question_40.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	11	Consider the two-dimensional vector field 𝐹⃗(𝑥,𝑦)=𝑥 𝚤⃗+𝑦 𝚥⃗, where 𝚤⃗ and 𝚥⃗ denote the unit vectors along the 𝑥-axis and the 𝑦-axis, respectively. A contour 𝐶 in the 𝑥-𝑦 plane, as shown in the figure, is composed of two horizontal lines connected at the two ends by two semicircular arcs of unit radius. The contour is traversed in the counter-clockwise sense. The value of the closed path integral is _________	[ "0", "1", "8 + 2𝞹", "-1" ]	0	ec_question_11.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_11.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	13	The current 𝐼 in the circuit shown is ________.	[ "1.25×10⁻³ A", "0.75×10⁻³ A", "−0.5×10⁻³ A", "1.16×10⁻³ A" ]	1	ec_question_13.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_13.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	14	Consider the circuit shown in the figure. The current 𝐼 flowing through the 10 Ω resistor is _________.	[ "1 A", "0 A", "0.1 A", "-0.1 A" ]	1	ec_question_14.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_14.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	18	Consider the CMOS circuit shown in the figure (substrates are connected to their respective sources). The gate width (𝑊) to gate length (𝐿) ratios (𝑊/𝐿) of the transistors are as shown. Both the transistors have the same gate oxide capacitance per unit area. For the pMOSFET, the threshold voltage is -1 V and the mobility of holes is 40 cm²/V.s . For the nMOSFET, the threshold voltage is 1 V and the mobility of electrons is 300 cm²/V.s . The steady state output voltage 𝑉ₒ is ________.	[ "equal to 0 V", "more than 2 V", "less than 2 V", "equal to 2V" ]	2	ec_question_18.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_18.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	19	Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for 𝐴₀, 𝐴₁, 𝐴₂, and 𝐴₃ are ____________.	[ "𝐴₀ = 0, 𝐴₁ = 0, 𝐴₂ = 1, and 𝐴₃ = 1", "𝐴₀ = 1, 𝐴₁ = 0, 𝐴₂ = 1, and 𝐴₃ = 0", "𝐴₀ = 0, 𝐴₁ = 1, 𝐴₂ = 1, and 𝐴₃ = 0", "𝐴₀ = 1, 𝐴₁ = 1, 𝐴₂ = 0, and 𝐴₃ = 0" ]	2	ec_question_19.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_19.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	20	The ideal long channel nMOSFET and pMOSFET devices shown in the circuits have threshold voltages of 1 V and −1 V, respectively. The MOSFET substrates are connected to their respective sources. Ignore leakage currents and assume that the capacitors are initially discharged. For the applied voltages as shown, the steady state voltages are _________________.	[ "V₁ = 5V, V₂ = 5V", "V₁ = 5V, V₂ = 4V", "V₁ = 4V, V₂ = 5V", "V₁ = 4V, V₂ = -5V" ]	2	ec_question_20.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_20.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	21	Consider a closed-loop control system with unity negative feedback and 𝐾𝐺(𝑠) in the forward path, where the gain 𝐾=2. The complete Nyquist plot of the transfer function 𝐺(𝑠) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume 𝐺(𝑠) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane is ___________.	[ "0", "1", "2", "3" ]	2	ec_question_21.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_21.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	22	The root-locus plot of a closed-loop system with unity negative feedback and transfer function 𝐾𝐺(𝑠) in the forward path is shown in the figure. Note that 𝐾 is varied from 0 to ∞. Select the transfer function 𝐺(𝑠) that results in the root-locus plot of the closed-loop system as shown in the figure.	[ "𝐺(𝑠) = 1/(𝑠 + 1)⁵", "𝐺(𝑠) = 1/(𝑠⁵ + 1)", "𝐺(𝑠) = (𝑠 - 1)/(𝑠 + 1)⁶", "𝐺(𝑠) = (𝑠 + 1)/(𝑠⁶ + 1)" ]	0	ec_question_22.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_22.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	23	The frequency response 𝐻(𝑓) of a linear time-invariant system has magnitude as shown in the figure. Statement I: The system is necessarily a pure delay system for inputs which are bandlimited to −𝛼≤𝑓≤𝛼. Statement II: For any wide-sense stationary input process with power spectral density 𝑆H(𝑓), the output power spectral density 𝑆H(𝑓) obeys 𝑆H(𝑓)=𝑆H(𝑓) for −𝛼≤𝑓≤𝛼. Which one of the following combinations is true?	[ "Statement I is correct, Statement II is correct", "Statement I is correct, Statement II is incorrect", "Statement I is incorrect, Statement II is correct", "Statement I is incorrect, Statement II is incorrect" ]	2	ec_question_23.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_23.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	38	For the circuit shown, the locus of the impedance 𝑍(𝑗𝜔) is plotted as 𝜔 increases from zero to infinity. The values of 𝑅₁ and 𝑅₂ are:	[ "𝑅₁=2 kΩ, 𝑅₂=3 kΩ", "𝑅₁=5 kΩ, 𝑅₂=2 kΩ", "𝑅₁=5 kΩ, 𝑅₂=2.5 kΩ", "𝑅₁=2 kΩ, 𝑅₂=5 kΩ" ]	0	ec_question_38.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_38.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	39	Consider the circuit shown in the figure with input 𝑉(𝑡) in volts. The sinusoidal steady state current 𝐼(𝑡) flowing through the circuit is shown graphically (where 𝑡 is in seconds). The circuit element 𝑍 can be ________.	[ "a capacitor of 1 F", "an inductor of 1 H", "a capacitor of √3 F", "an inductor of √3 H" ]	1	ec_question_39.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_39.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	41	For the following circuit with an ideal OPAMP, the difference between the maximum and the minimum values of the capacitor voltage (𝑉꜀) is __________.	[ "15 V", "27 V", "13 V", "14 V" ]	2	ec_question_41.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_41.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	42	A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function (𝐴ᵥ(𝑗𝜔)=𝑉ₒᵤₜ (𝑗𝜔)/𝑉ᵢₙ(𝑗𝜔)) of the circuit is also provided (here, 𝜔 is the angular frequency in rad/s). The values of 𝑅 and 𝐶 are ____________.	[ "𝑅=3 kΩ, 𝐶=1 𝜇F", "𝑅=1 kΩ, 𝐶=3 𝜇F", "𝑅=4 kΩ, 𝐶=1 𝜇F", "𝑅=3 kΩ, 𝐶=2 𝜇F" ]	0	ec_question_42.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_42.png	STEM
en	India	ec_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf	Education and Research	Graduate Level	Engineering	इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग	43	For the circuit shown, the clock frequency is 𝑓ₒ and the duty cycle is 25%. For the signal at the Q output of the Flip-Flop, _______.	[ "frequency is 𝑓ₒ/4 and duty cycle is 50%", "frequency is 𝑓ₒ/4 and duty cycle is 25%", "frequency is 𝑓ₒ/2 and duty cycle is 50%", "frequency is 𝑓ₒ and duty cycle is 25%" ]	0	ec_question_43.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ec_question_43.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	5	For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?	[ "A", "B", "C", "D" ]	0	ce2_question_5.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce2_question_5.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	10	An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east. The ant first turns 72° anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting. 1. moves forward for 10 cm. 2. turns 144° clockwise The pattern made by the trace left behind by the ant is:	[ "A", "B", "C", "D" ]	2	ce2_question_10.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce2_question_10.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	15	Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties). Which one of the following combinations is correct?	[ "i-P, ii-Q and T, iii-R and S", "i-Q and T, ii-P and S, iii-R", "i-P, ii-Q and R, iii-T", "i-T, ii-S, iii-P and Q" ]	0	ce2_question_15.png	essential	table	null	data/GATE_2022_Multimodal/images/ce2_question_15.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	16	Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are	[ "2 and 1", "2 and 0", "1 and 2", "2 and 2" ]	0	ce2_question_16.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce2_question_16.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	18	Stresses acting on an infinitesimal soil element are shown in the figure (with σz > σₓ ). The major and minor principal stresses are σ₁ and σ₃, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane?	[ "A", "B", "C", "D" ]	0	ce2_question_18.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce2_question_18.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	19	Match Column X with Column Y. Which one of the following combinations is correct?	[ "P-IV, Q-III, R-V, S-I, T-II", "P-III, Q-IV, R-V, S-I, T-II", "P-IV, Q-III, R-II, S-I, T-V", "P-III, Q-IV, R-I, S-V, T-II" ]	0	ce2_question_19.png	essential	table	null	data/GATE_2022_Multimodal/images/ce2_question_19.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	23	Match the following attributes of a city with the appropriate scale of measurements. Which one of the following combinations is correct?	[ "P-I, Q-III, R-IV, S-II", "P-II, Q-I, R-IV, S-III", "P-II, Q-III, R-IV, S-I", "P-I, Q-II, R-III, S-IV" ]	0	ce2_question_23.png	essential	table	null	data/GATE_2022_Multimodal/images/ce2_question_23.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	37	An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natural period of this system are ω rad/s and T s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are	[ "2ω rad/s and T/2 s", "ω/2 rad/s and 2T s", "4ω rad/s and T/4 s", "ω rad/s and T s" ]	0	ce2_question_37.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce2_question_37.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	38	For the square steel beam cross-section shown in the figure, the shape factor about Z — Z axis is S and the plastic moment capacity is Mp. Consider yield stress fy = 250 MPa and a = 100 mm. The values of S and Mp (rounded-off to one decimal place) are	[ "S = 2.0, Mp = 58.9 kN-m", "S = 2.0, Mp = 100.2 kN-m", "S = 1.5, Mp = 58.9 kN-m", "S = 1.5, Mp = 100.2 KN-m" ]	0	ce2_question_38.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce2_question_38.png	STEM
en	India	ce2_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf	Education and Research	Graduate Level	Engineering	सिविल इन्जिनियरिङ	41	A soil sample is underlying a water column of height h₁, as shown in the figure. The vertical effective stresses at points A, B, and C are σa', σb', and σc', respectively. Let γsat and γ' be the saturated and submerged unit weights of the soil sample, respectively, and γw be the unit weight of water. Which one of the following expressions correctly represents the sum (σa' + σb' + σc') ?	[ "(2h₂ + h₃)γ'", "(h₁ + h₂ +h₃)γ'", "(h₂ + h₃)(γsat - γw)", "(h₁ + h₂ + h₃)γsat" ]	0	ce2_question_41.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ce2_question_41.png	STEM
en	India	ph_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf	Education and Research	Graduate Level	Physics	भौतिक विज्ञान	11	For the Op-Amp circuit shown below, choose the correct output waveform corresponding to the input 𝑉 = 1.5sin20𝜋𝑡 (in Volts). The saturation voltage for this circuit is 𝑉 = ±10 V.	[ "A", "B", "C", "D" ]	0	ph_question_11.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ph_question_11.png	STEM
en	India	ph_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf	Education and Research	Graduate Level	Physics	भौतिक विज्ञान	12	Match the order of 𝛽 – decays given in the left column to appropriate clause in the right column. Here 𝑋(𝐼 ) and 𝑌(𝐼 ) are nuclei with intrinsic spin 𝐼 and parity 𝜋.	[ "1 – i, 2 – ii, 3 – iii, 4 – iv", "1 – iv, 2 – i, 3 – ii, 4 – iii", "1 – i, 2 – iii, 3 – ii, 4 – iv", "1 – iv, 2 – ii, 3 – iii, 4 – i" ]	1	ph_question_12.png	essential	table	null	data/GATE_2022_Multimodal/images/ph_question_12.png	STEM
en	India	ph_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf	Education and Research	Graduate Level	Physics	भौतिक विज्ञान	39	Consider a particle in three different boxes of width 𝐿. The potential inside the boxes vary as shown in figures (i), (ii) and (iii) with 𝑉₀ ≪ ℏ²𝝅²/2mL². The corresponding ground-state energies of the particle are 𝐸₁, 𝐸₂ and 𝐸₃, respectively. Then	[ "𝐸₂ > 𝐸₁ > 𝐸₃", "𝐸₃ > 𝐸₁ > 𝐸₂", "𝐸₂ > 𝐸₃ > 𝐸₁", "𝐸₃ > 𝐸₂ > 𝐸₁" ]	0	ph_question_39.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ph_question_39.png	STEM
en	India	ph_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf	Education and Research	Graduate Level	Physics	भौतिक विज्ञान	44	At T = 0 K, which of the following diagram represents the occupation probability P(𝐸) of energy states of electrons in a BCS type superconductor?	[ "A", "B", "C", "D" ]	0	ph_question_44.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ph_question_44.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	14	The value of the real variable 𝑥≥0, which maximizes the function f(x) is	[ "e", "0", "1/e", "1" ]	0	ch_question_14.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_14.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	21	A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated water flashes in the boiler. The exothermic reaction heat thus generates steam. Fresh boiler feed water (BFW) is added to make-up for the loss of water as steam. Assume that all control valves are air-to-open. The controller action, ‘direct’ or ‘reverse’, is defined with respect to the controller. Select the option that correctly specifies the action of the controllers.	[ "PC: Reverse, LC: Direct, TC: Reverse", "PC: Direct, LC: Reverse, TC: Direct", "PC: Direct, LC: Reverse, TC: Reverse", "PC: Reverse, LC: Direct, TC: Direct" ]	2	ch_question_21.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_21.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	22	Liquid flowing through a heat exchanger (HX) is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the given plumbing options, the one that provides the most effective temperature control for large disturbances while avoiding vaporization in the heat exchanger is	[ "A", "B", "C", "D" ]	2	ch_question_22.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_22.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	23	The appropriate feedforward compensator, 𝐺ff, in the shown block diagram is	[ "𝐺ff = (2/3) * (8s + 1)/(5s + 1)", "𝐺ff = (-2/3) * (8s + 1)/(5s + 1)", "𝐺ff = (3/2) * ((5s + 1)/(8s + 1)) * e⁻ˢ", "𝐺ff = (-3/2) * ((5s + 1)/(8s + 1)) * e⁻ˢ" ]	0	ch_question_23.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_23.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	24	Choose the option that correctly pairs the given measurement devices with the quantities they measure.	[ "I-E II-C III-D IV-B V-A", "I-C II-D III-A IV-B V-C", "I-C II-D III-E IV-A V-D", "I-D II-C III-A IV-E V-C" ]	1	ch_question_24.png	essential	table	null	data/GATE_2022_Multimodal/images/ch_question_24.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	27	In an enzymatic reaction, an inhibitor (I) competes with the substrate (S) to bind with the enzyme (E), thereby reducing the rate of product (P) formation. The competitive inhibition follows the reaction mechanism shown below. Let [S] and [I] be the concentration of S and I, respectively, and 𝑟(cid:3046) be the rate of consumption of S. Assuming pseudo-steady state, the correct plot of 1/-rₛ vs 1/[s] is	[ "A", "B", "C", "D" ]	0	ch_question_27.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_27.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	37	𝑁 moles of an ideal gas undergo a two-step process as shown in the figure. Let 𝑃, 𝑉 and 𝑇 denote the pressure, volume and temperature of the gas, respectively. The gas, initially at state-1 (𝑃₁, 𝑉₁, 𝑇₁), undergoes an isochoric (constant volume) process to reach state-A, and then undergoes an isobaric (constant pressure) expansion to reach state-2 (𝑃₂, 𝑉₂, 𝑇₂). For an ideal gas, 𝐶ₚ – 𝐶ᵥ = 𝑁𝑅, where 𝐶ₚ and 𝐶ᵥ are the heat capacities at constant pressure and constant volume, respectively, and assumed to be temperature independent. The heat gained by the gas in the two-step process is given by	[ "𝑃₂(𝑉₂ - 𝑉₁) + 𝐶ᵥ(𝑇₂ - 𝑇₁)", "𝑃₂(𝑉₂ - 𝑉₁) + 𝐶ₚ(𝑇₂ - 𝑇₁)", "𝐶ₚ(𝑇₂ - 𝑇₁) + 𝐶ᵥ(𝑇₂ - 𝑇₁)", "𝑃₂𝑉₂ - 𝑃₁𝑉₁" ]	0	ch_question_37.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_37.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	38	A horizontal cylindrical water jet of diameter 𝐷₁ = 2 cm strikes a vertical solid plate with a hole of diameter 𝐷₂ = 1 cm, as shown in the figure. A part of the jet passes through the hole and the rest is deflected along the plate. The density of water is 1000 kg m-3. If the speed of the jet is 20 m s-1, the magnitude of the horizontal force, in N, required to hold the plate stationary is	[ "30ℼ", "10ℼ", "20ℼ", "5ℼ" ]	0	ch_question_38.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_38.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	39	Consider a horizontal rod of radius 𝑎𝑅 (𝑎 < 1) in a stationary pipe of radius 𝑅. The rod is pulled coaxially at a constant velocity 𝑉 as shown in the figure. The annular region is filled with a Newtonian incompressible fluid of viscosity μ. The steady state fully developed axial velocity profile in the fluid is given by u(r) = V * (ln(r/R)/ln(𝑎)), where r is the radial coordinate. Ignoring end effects, the magnitude of the pulling force per unit rod length is	[ "ℼμV", "-2ℼμV/ln(𝑎)", "0", "-ℼμV/ln(𝑎)" ]	1	ch_question_39.png	essential	diagram	null	data/GATE_2022_Multimodal/images/ch_question_39.png	STEM
en	India	ch_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf	Education and Research	Graduate Level	Engineering	रासायनिक अभियांत्रिकी	43	Match the product in Group-1 with the manufacturing process in Group-2. The correct combination is	[ "P-III, Q-I, R-IV, S-II", "P-IV, Q-I, R-II, S-III", "P-III, Q-IV, R-I, S-II", "P-I, Q-IV, R-II, S-III" ]	2	ch_question_43.png	essential	table	null	data/GATE_2022_Multimodal/images/ch_question_43.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	2	A function y(x) is defined in the interval [0, 1] on the x-axis as: Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?	[ "5/6", "6/5", "13/6", "6/13" ]	2	bm_question_2.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_2.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	5	A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters. From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.	[ "A", "B", "C", "D" ]	1	bm_question_5.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_5.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	10	A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved. What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.	[ "2", "4", "5", "3" ]	3	bm_question_10.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_10.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	14	x(t) is a real continuous-time signal whose magnitude frequency response (\|X (jω)\|) is shown below. After sampling x(t) at 100 rad/s, the spectral point P is down-converted to ..... rad/s in the spectrum of the sampled signal.	[ "12.5", "25", "6.25", "37.5" ]	3	bm_question_14.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_14.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	15	Discrete signals x[n] and y[n] are shown below. The cross-correlation rxy[0] is:	[ "2√2", "1/2√2", "1/2", "1/√2" ]	1	bm_question_15.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_15.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	16	In the circuit diagram shown below, the logic gates operate with a supply voltage of 1 V. NAND and XNOR have 200 ps and 400 ps input-to-output delay, respectively. At time t = T, A(t) = 0, B(t) = 1 and Z(t) = 0. When the inputs are changed to A(t) = 1, B(t) = 0 at t = 2T, a 1 V pulse is observed at Z. The pulse width of the 1 V pulse is ..... ps.	[ "100", "200", "400", "600" ]	1	bm_question_16.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_16.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	17	Input bits X and Y are added by using the combinational logic as shown below. S represents the sum of the two bits. For a correct implementation of the sum, the signals D0, D1, D2, D3 are respectively:	[ "1, 0, 0, 1", "0, 1, 0, 1", "1, 0, 1, 1", "0, 1, 1, 0" ]	0	bm_question_17.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_17.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	19	For the balanced Owen-bridge circuit shown in the figure, the values of Lₓ and Rₓ are:	[ "Lₓ=R₂R₃/C₃, Rₓ=R₂C₁/C₃", "Lₓ=R₂R₃C₁, Rₓ=R₂C₁/C₃", "Lₓ=R₂R₃C₁, Rₓ=R₂C₃/C₁", "Lₓ=R₂R₃C₃, Rₓ=R₂C₁C₃" ]	1	bm_question_19.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_19.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	38	An input x(t) is applied to a system with a frequency transfer function given by H(jω) as shown below. The magnitude and phase response of the transfer function are shown below. If y(tₔ) = 0 for x(t) = u(t), the time tₔ (> 0) is .... μs.	[ "100 ln(2)", "10 ln(2)", "1000 ln(2)", "ln(2)" ]	0	bm_question_38.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_38.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	39	The block diagram of a two-tap high-pass FIR filter is shown below. The filter transfer function is given by H(z) = Y(z)/X(z). If ratio of the maximum to minimum value of H(z) is 2 and \|H(Z)\|ₘₐₓ = 1, the coefficients β₀ and β₁ are respectively:	[ "0.75, —0.25", "0.67, 0.33", "0.60, —0.40", "—0.64, 0.36" ]	0	bm_question_39.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_39.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	40	The block diagrams of an ideal system and a real system with their impulse responses are shown below. An auxiliary path is added to the delayed impulse response in the real system. For a unit impulse input (x(t) = δ(t)) to both systems, gain β is chosen such that y(4T) is same for both systems. The value of β is	[ "(e^(-3αT))(1 - (e^(-2αT)))", "(-e^(-αT))(1 - (e^(-3αT)))", "(-e^(-3αT))(1 - (e^(-αT)))", "(e^(-2αT))(1 - (e^(-2αT)))" ]	2	bm_question_40.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_40.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	41	A filter is designed using opamps, resistors, and capacitors as shown below. Opamps are ideal with infinite gain and infinite bandwidth. If 𝑉ₒ(𝑠)/𝑉ᵢ(𝑠) is an all-pass transfer function, the value of resistor R2 is ______________ kΩ.	[ "1", "10", "5", "2" ]	1	bm_question_41.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_41.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	43	Consider the Einthoven’s triangle of frontal ECG for the 3 electrodes RA, LA and LL shown in the figure. The augmented lead vectors bisect the bipolar lead vectors. At the peak of R wave, the cardiac vector M points vertically downwards with \|M\| =5 mV. The voltages on leads I and II are ______________ mV and ______________ mV, respectively.	[ "0, 4.33", "2.17, 0", "0, 2.17", "4.33, 0" ]	0	bm_question_43.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_43.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	45	The deltoid muscle connects the humerus to the shoulder blade and facilitates out stretching of the arm as shown in the figure. The humerus is connected to the shoulder blade with a ball and socket joint. Assume the equivalent weight (W) of the arm to be 30 N and acts vertically down at a horizontal distance of 30 cm. Assume that the deltoid muscle is connected to the humerus at a distance of 15 cm and makes an average angle of 20° with the horizontal. The magnitude of tension in the deltoid muscle is ______________ N.	[ "31.9", "63.8", "87.7", "175.4" ]	3	bm_question_45.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_45.png	STEM
en	India	bm_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf	Education and Research	Graduate Level	Engineering	जैव चिकित्सा इंजिनियरिंग	48	Based on the stress-strain curves of three different materials (X, Y, and Z) shown in the figure, which one of the following choices is CORRECT?	[ "X — Titanium, Y — Hydroxyapatite, Z — Polyethylene", "X — Hydroxyapatite, Y — Titanium, Z — Polyethylene", "X — Hydroxyapatite, Y — Polyethylene, Z — Titanium", "X— Polyethylene, Y — Titanium, Z — Hydroxyapatite" ]	1	bm_question_48.png	essential	diagram	null	data/GATE_2022_Multimodal/images/bm_question_48.png	STEM
en	India	pe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf	Education and Research	Graduate Level	Engineering	पेट्रोलियम इंजीनियरिंग	14	The general equation for the production rate decline can be expressed as in figure. Match the value of d (Group 1) with the appropriate decline curves (Group 2).	[ "I – P; II – Q; III – R", "I – P; II – R; III – Q", "I – Q; II – R; III – P", "I – Q; II – P; III – R" ]	3	pe_question_14.png	essential	diagram	null	data/GATE_2022_Multimodal/images/pe_question_14.png	STEM
en	India	pe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf	Education and Research	Graduate Level	Engineering	पेट्रोलियम इंजीनियरिंग	19	The liquid shrinkage curves for different types of crude oil are shown in the following figure. Which curve represents the Black Oil?	[ "I", "II", "III", "IV" ]	1	pe_question_19.png	essential	diagram	null	data/GATE_2022_Multimodal/images/pe_question_19.png	STEM
en	India	pe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf	Education and Research	Graduate Level	Engineering	पेट्रोलियम इंजीनियरिंग	20	The dynamic mud inflow rate and mud outflow rate profiles are shown in the following figure. Identify the “Hole ballooning” and the “Lost circulation” phenomena.	[ "Case 1 – Hole ballooning; Case 3 – Lost circulation", "Case 2 – Lost circulation; Case 3 – Hole ballooning", "Case 1 – Lost circulation; Case 2 – Hole ballooning", "Case 2 – Hole ballooning; Case 3 – Lost circulation" ]	1	pe_question_20.png	essential	diagram	null	data/GATE_2022_Multimodal/images/pe_question_20.png	STEM
en	India	pe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf	Education and Research	Graduate Level	Engineering	पेट्रोलियम इंजीनियरिंग	38	Which ONE of the following options is the CORRECT match of contaminants and their effluent treatment techniques?	[ "I – P ; II – Q ; III – R ; IV – S", "I – Q ; II – R ; III – P ; IV – S", "I – Q ; II – S ; III – P ; IV – R", "I – R ; II – S ; III – Q ; IV – P" ]	1	pe_question_38.png	essential	table	null	data/GATE_2022_Multimodal/images/pe_question_38.png	STEM
en	India	pe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf	Education and Research	Graduate Level	Engineering	पेट्रोलियम इंजीनियरिंग	39	Capillary pressure (𝑃꜀) vs water saturation (𝑆ᵥᵥ) curves for different sandstone reservoirs (I, II, III and IV) are given in the following figure. Which reservoir has the most uniform pore size distribution?	[ "I", "II", "III", "IV" ]	3	pe_question_39.png	essential	diagram	null	data/GATE_2022_Multimodal/images/pe_question_39.png	STEM
en	India	pe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf	Education and Research	Graduate Level	Engineering	पेट्रोलियम इंजीनियरिंग	40	Flow tests are conducted for oil well in reservoirs P, Q, R and S having different parameters as given in the following table. In all the four cases the wells are tested at 1200 stb/day. Identify the reservoir in which the pressure transient reaches earliest at a point 2000 ft away from the wellbore.	[ "P", "Q", "R", "S" ]	2	pe_question_40.png	essential	table	null	data/GATE_2022_Multimodal/images/pe_question_40.png	STEM
en	India	pe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf	Education and Research	Graduate Level	Engineering	पेट्रोलियम इंजीनियरिंग	42	The log data obtained for a particular well section are shown in the following figures. Identify the CORRECT interpretations for different zones.	[ "Zone 1 – shale, Zone 2 – clean sand with oil, Zone 3 – clean sand with gas Zone, 4 – clean sand with water", "Zone 1 – clean sand with gas, Zone 2 – clean sand with oil, Zone 3 – clean sand with water, Zone 4 – shale", "Zone 1 – shale, Zone 2 – clean sand with gas, Zone 3 – clean sand with oil, Zone 4 – clean sand with water", "Zone 1 – clean sand with water, Zone 2 – clean sand with oil, Zone 3 – clean sand with gas, Zone 4 – shale" ]	2	pe_question_42.png	essential	table	null	data/GATE_2022_Multimodal/images/pe_question_42.png	STEM
en	India	xe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/xe_2022.pdf	Education and Research	Graduate Level	Engineering	इंजीनियरिंग विज्ञान	22	A heavy horizontal cylinder of diameter D supports a mass of liquid having density 𝜌 as shown in the figure. Find out the vertical component of force exerted by the liquid per unit length of the cylinder if g is the acceleration due to gravity.	[ "𝞹D²𝜌g/4", "𝞹D²𝜌g/8", "𝞹D²𝜌g/2", "𝞹D²𝜌g/3" ]	1	xe_question_22.png	essential	diagram	null	data/GATE_2022_Multimodal/images/xe_question_22.png	STEM
en	India	xe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/xe_2022.pdf	Education and Research	Graduate Level	Engineering	इंजीनियरिंग विज्ञान	23	The figure shows the developing zone and the fully developed region in a pipe flow where the steady flow takes place from left to right. The wall shear stress in the sections A, B, C, and D are given by 𝜏A ,𝜏B ,𝜏C , and 𝜏D , respectively. Select the correct statemen	[ "𝜏A > 𝜏B", "𝜏B > 𝜏A", "𝜏C > 𝜏B", "𝜏C > 𝜏D" ]	0	xe_question_23.png	essential	diagram	null	data/GATE_2022_Multimodal/images/xe_question_23.png	STEM
en	India	xe_2022.pdf	https://gate.iitkgp.ac.in/documents/gatepapers/2022/xe_2022.pdf	Education and Research	Graduate Level	Engineering	इंजीनियरिंग विज्ञान	24	The left hand column lists some non-dimensional numbers and the right hand column lists some physical phenomena. Indicate the correct combination	[ "1-iii, 2-i, 3-ii, 4-iv", "1-i, 2-ii, 3-iv, 4-iii", "1-iv, 2-iii, 3-iv, 4-iii", "2-iv, 1-iii, 3-ii, 4-i" ]	0	xe_question_24.png	essential	table	null	data/GATE_2022_Multimodal/images/xe_question_24.png	STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

14

Two vectors x and y are shown in the figure. The projection vector of x on y is

[ "(xᵀy/yᵀy)*y", "x * y", "(x * y)/(yᵀy)", "(xᵀy/xᵀx)*x" ]

0

mn_question_14.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_14.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

17

Match the rock with its metamorphosed form

[ "P-II, Q-IV, R-I, S-III", "P-III, Q-I, R-IV, S-II", "P-IV, Q-III, R-I, S-II", "P-II, Q-III, R-IV, S-I" ]

0

mn_question_17.png

essential

table

null

data/GATE_2022_Multimodal/images/mn_question_17.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

19

A square pattern of blasting is shown in the figure. For the case of simultaneous blast, identify the zone of no fragmentation

[ "P", "Q", "R", "S" ]

2

mn_question_19.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_19.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

20

In the truss shown in the figure, the force in the member BD, in kN is_____.

[ "7", "5", "2", "0" ]

3

mn_question_20.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_20.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

21

The correct vertical stress profile in the case of tributary area method for pillar design is

[ "I", "II", "III", "IV" ]

2

mn_question_21.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_21.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

22

The bottom section of a stoping block has dimensions 200 m × 40 m. If the modified RMR of rock mass is 50, the appropriate method of mining on the basis of Laubscher’s chart in the figure is

[ "Shrinkage stoping", "Cut and fill", "Block Caving", "Sublevel stoping" ]

1

mn_question_22.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_22.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

23

Match the machine with its component

[ "P-III, Q-IV, R-I, S-II", "P-IV, Q-III, R-I, S-II", "P-III, Q-IV, R-II, S-I", "P-IV, Q-III, R-II, S-I" ]

0

mn_question_23.png

essential

table

null

data/GATE_2022_Multimodal/images/mn_question_23.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

36

Match the drilling pattern with mining operation

[ "P→II, Q→III, R→I, S→II", "P→III, Q→IV, R→I, S→II", "P→II, Q→I, R→IV, S→III", "P→III, Q→IV, R→II, S→I" ]

3

mn_question_36.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_36.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

37

The closest match of the scatter plot between the variables X and Y with the approximate attribute is

[ "P→I, Q→II, R→III, S→IV", "P→II, Q→I, R→IV, S→III", "P→III, Q→IV, R→I, S→II", "P→IV, Q→II, R→III, S→I" ]

3

mn_question_37.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_37.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

38

A 3-point borehole extensometer is installed to identify the location of a single discontinuity plane in a hanging wall rock by measuring deformations at three locations as shown in the figure. The absolute readings of deformations measured on two different dates are listed in the table. Based on the measured data the most likely inference is

[ "Discontinuity between Anchor-1 and Anchor-2", "Discontinuity between Anchor-2 and Anchor-3", "Discontinuity between Anchor-3 and excavation boundary", "No noticeable discontinuity" ]

1

mn_question_38.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_38.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

39

Match the semi-variogram shape with the model name and the property.

[ "P→III→E, Q→II→F, R→IV→E, S→I→G", "P→II→F, Q→I→G, R→III→E, S→IV→E", "P→IV→G, Q→III→F, R→II→E, S→I→E", "P→II→E, Q→I→E, R→III→F, S→IV→G" ]

0

mn_question_39.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_39.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

40

In a uniaxial compressive strength test, a rock sample of diameter 50 mm fails at an angle of 60o as shown in the figure. If the peak load at failure is 120 kN, the normal and shear stresses on failure plane respectively, in MPa are_______ and _____.

[ "15.28 and 26.46", "26.46 and 15.28", "57.02 and -15.28", "-15.28 and 15.28" ]

0

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essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_40.png

STEM

en

India

mn_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/mn_2022.pdf

Education and Research

Graduate Level

Engineering

खनन अभियांत्रिकी

41

A coal mining company examines the option of buying two types of dumpers with the following details. In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are

[ "20, 15", "0, 30", "0, 31", "40, 0" ]

0

mn_question_41.png

essential

diagram

null

data/GATE_2022_Multimodal/images/mn_question_41.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

6

The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes 1-1, 2-2 or 3-3 chosen uniformly at random. What is the probability that the disc DOES NOT retain the same front and rear views after the flipping operation?

[ "0", "1/3", "2/3", "1" ]

2

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essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_5.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

10

An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases. Which one of the following is a part of a possible trajectory of the ant during the movement?

[ "A", "B", "C", "D" ]

2

ee_question_10.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_10.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

11

The transfer function of a real system, 𝐻(𝑠), is given as in the figure. This system cannot operate as:

[ "low pass filter.", "high pass filter.", "band pass filter.", "an integrator." ]

1

ee_question_11.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_11.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

14

The geometric mean radius of a conductor, having four equal strands with each strand of radius ‘𝑟’, as shown in the figure below, is

[ "4 𝑟", "1.414 𝑟", "2 𝑟", "1.723 𝑟" ]

3

ee_question_14.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_14.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

16

The steady state output (𝑉ₒᵤₜ), of the circuit shown below, will

[ "saturate to +VDD", "saturate to -VEE", "become equal to 0.1 V", "become equal to –0.1 V" ]

1

ee_question_16.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_16.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

17

The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is −180°. This system has

[ "one LHP pole and one RHP zero at the same frequency.", "one LHP pole and one LHP zero at the same frequency.", "two LHP poles and one RHP zero.", "two RHP poles and one LHP zero." ]

0

ee_question_17.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_17.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

21

In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 100√3 𝑉 with phase sequence 𝐴𝐵𝐶. The star connected load has 𝑍A = 10 Ω and 𝑍B = 20∠60° Ω. The value of 𝑍(cid:3004) in Ω, for which the voltage difference across the nodes 𝑛 and 𝑛′ is zero, is

[ "20∠−30°", "20∠30°", "20∠−60°", "20∠60°" ]

2

ee_question_21.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_21.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

25

For the circuit shown below with ideal diodes, the output will be

[ "𝑉ₒᵤₜ = 𝑉ᵢₙ for 𝑉ᵢₙ > 0", "𝑉ₒᵤₜ = 𝑉ᵢₙ for 𝑉ᵢₙ < 0", "𝑉ₒᵤₜ = - 𝑉ᵢₙ for 𝑉ᵢₙ > 0", "𝑉ₒᵤₜ = - 𝑉ᵢₙ for 𝑉ᵢₙ < 0" ]

0

ee_question_25.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_25.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

36

The output impedance of a non-ideal operational amplifier is denoted by Zₒᵤₜ. The variation in the magnitude of Zₒᵤₜ with increasing frequency, f, in the circuit shown below, is best represented by

[ "A", "B", "C", "D" ]

2

ee_question_36.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_36.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

37

An LTI system is shown in the figure. The values of ‘𝑎’ and ‘𝑏’ will be

[ "𝑎 = 1, 𝑏 = 10", "𝑎 = 10, 𝑏 = 1", "𝑎 = 1, 𝑏 = 100", "𝑎 = 100, 𝑏 = 1" ]

0

ee_question_37.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_37.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

38

The open loop transfer function of a unity gain negative feedback system is given as 𝐺(𝑠) = 1/𝑠(𝑠+1). The Nyquist contour in the 𝑠-plane encloses the entire right half plane and a small neighbourhood around the origin in the left half plane, as shown in the figure below. The number of encirclements of the point (−1 + 𝑗0) by the Nyquist plot of 𝐺(𝑠), corresponding to the Nyquist contour, is denoted as 𝑁. Then 𝑁 equals to

[ "0", "1", "2", "3" ]

1

ee_question_38.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_38.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

39

The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as 𝜁 and 𝜔ₙ, respectively. The values of 𝜁 and 𝜔ₙ

[ "𝜁 = 0.5 and 𝜔ₙ = 10 rad/s", "𝜁 = 0.1 and 𝜔ₙ = 10 rad/s", "𝜁 = 0.707 and 𝜔ₙ = 10 rad/s", "𝜁 = 0.707 and 𝜔ₙ = 100 rad/s" ]

0

ee_question_39.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_39.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

44

The current gain (Iout/Iin) in the circuit with an ideal current amplifier given below is

[ "𝐶բ/𝐶꜀", "-𝐶բ/𝐶꜀", "𝐶꜀/𝐶բ", "-𝐶꜀/𝐶բ" ]

2

ee_question_44.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_44.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

48

Consider the system as shown below. The system is

[ "linear and causal.", "linear and non-causal.", "non-linear and causal.", "non-linear and non-causal." ]

1

ee_question_48.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_48.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

51

The current gain (Iout/Iin) in the circuit with an ideal current amplifier given below isLet 𝑅 be a region in the first quadrant of the 𝑥𝑦 plane enclosed by a closed curve 𝐶 considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region 𝑅?

[ "A", "B", "C", "D" ]

2

ee_question_51.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_51.png

STEM

en

India

ee_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ee_2022.pdf

Education and Research

Graduate Level

Engineering

विद्युत अभियन्त्रण

53

As shown in the figure below, two concentric conducting spherical shells, centered at r = 0 and having radii r = c and r = d are maintained at potentials such that the potential V(r) at r = c is V₁ and V(r) at r = d is V₂. Assume that V(r) depends only on r, where r is the radial distance. The expression for V(r) in the region between r = c and r = d is

[ "A", "B", "C", "D" ]

1

ee_question_53.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ee_question_53.png

STEM

en

India

ce1_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

16

Consider the cross-section of a beam made up of thin uniform elements having thickness t (t << a) shown in the figure. The (x, y) coordinates of the points along the center-line of the cross-section are given in the figure. The coordinates of the shear center of this cross-section are:

[ "x=0, y=3a", "x=2a, y=2a", "x=-a, y=2a", "x=-2a, y=a" ]

0

ce1_question_16.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce1_question_16.png

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en

India

ce1_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

19

With respect to fluid flow, match the following in Column X with Column Y. Which one of the following combinations is correct?

[ "(P)— (II), (Q)- (IV), (R)- (I), (S)- (III)", "(P)— (III), (Q)— (IV), (R)-(I), (S)- (II)", "(P)— (IV), (Q)- (II), (R)- (I), (S)- (III)", "(P)— (II), (Q)— (IV), (R)- (III), (S)- (I)" ]

0

ce1_question_19.png

essential

table

null

data/GATE_2022_Multimodal/images/ce1_question_19.png

STEM

en

India

ce1_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

37

A semi-circular bar of radius R m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude P kN is applied at the end H. The magnitude of the axial force, shear force, and bending moment at point Q for Θ = 45°, respectively, are:

[ "P/√2 kN, P/√2 kN, and PR/√2 kNm", "P/√2 kN, P/√2 kN, and 0 kNm", "0 kN, P/√2 kN, and PR/√2 kNm", "P/√2 kN, 0 kN, and PR/√2 kNm" ]

0

ce1_question_37.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce1_question_37.png

STEM

en

India

ce1_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

38

A weld is used for joining an angle section ISA 100 mm x 100 mm = 10 mm to a gusset plate of thickness 15 mm to transmit a tensile load. The permissible stress in the angle is 150 MPa and the permissible shear stress on the section through the throat of the fillet weld is 108 MPa. The location of the centroid of the angle is represented by Cᵧᵧ in the figure, where Cᵧᵧ = 28.4 mm. The area of cross-section of the angle is 1903 mm². Assuming the effective throat thickness of the weld to be 0.7 times the given weld size, the lengths L₁ and L₂ (rounded-off to the nearest integer) of the weld required to transmit a load equal to the full strength of the tension member are, respectively

[ "541 mm and 214 mm", "214 mm and 541 mm", "380 mm and 151 mm", "151 mm and 380 mm" ]

0

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diagram

null

data/GATE_2022_Multimodal/images/ce1_question_38.png

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India

ce1_2022.pdf

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Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

39

The project activities are given in the following table along with the duration and dependency. Which one of the following combinations is correct?

[ "Total duration of the project = 22 days, Critical path is Q -> S", "Total duration of the project = 20 days, Critical path is Q -> T", "Total duration of the project = 22 days, Critical path is P -> T", "Total duration of the project = 20 days, Critical path is P -> R" ]

0

ce1_question_39.png

essential

table

null

data/GATE_2022_Multimodal/images/ce1_question_39.png

STEM

en

India

ce1_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

40

The correct match between the physical states of the soils given in Group I and the governing conditions given in Group II is

[ "1-S, 2-P, 3-Q, 4-R", "1-Q, 2-S, 3-P, 4-R", "1-Q, 2-P, 3-R, 4-S", "1-S, 2-Q, 3-P, 4-R" ]

0

ce1_question_40.png

essential

table

null

data/GATE_2022_Multimodal/images/ce1_question_40.png

STEM

en

India

ce1_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce1_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

44

Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-flow diagram. Denote their corresponding traffic densities by kP, kQ, kR, and kS, respectively. The correct order of these densities is:

[ "kP > kQ > kR > kS", "kS > kR > kQ > kP", "kQ > kR > kS > kP", "kQ > kR > kP > kS" ]

0

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diagram

null

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en

India

nm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/nm_2022.pdf

Education and Research

Graduate Level

Engineering

नौसेना वास्तुकला और समुद्री अभियांत्रिकी

40

Consider the wave elevation spectrum 𝑆ₙₙ (𝜔) as shown in the figure. Then, the significant wave height is ________ m.

[ "2", "4", "6", "8" ]

3

nm_question_40.png

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diagram

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STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

11

Consider the two-dimensional vector field 𝐹⃗(𝑥,𝑦)=𝑥 𝚤⃗+𝑦 𝚥⃗, where 𝚤⃗ and 𝚥⃗ denote the unit vectors along the 𝑥-axis and the 𝑦-axis, respectively. A contour 𝐶 in the 𝑥-𝑦 plane, as shown in the figure, is composed of two horizontal lines connected at the two ends by two semicircular arcs of unit radius. The contour is traversed in the counter-clockwise sense. The value of the closed path integral is _________

[ "0", "1", "8 + 2𝞹", "-1" ]

0

ec_question_11.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_11.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

13

The current 𝐼 in the circuit shown is ________.

[ "1.25×10⁻³ A", "0.75×10⁻³ A", "−0.5×10⁻³ A", "1.16×10⁻³ A" ]

1

ec_question_13.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_13.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

14

Consider the circuit shown in the figure. The current 𝐼 flowing through the 10 Ω resistor is _________.

[ "1 A", "0 A", "0.1 A", "-0.1 A" ]

1

ec_question_14.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_14.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

18

Consider the CMOS circuit shown in the figure (substrates are connected to their respective sources). The gate width (𝑊) to gate length (𝐿) ratios (𝑊/𝐿) of the transistors are as shown. Both the transistors have the same gate oxide capacitance per unit area. For the pMOSFET, the threshold voltage is -1 V and the mobility of holes is 40 cm²/V.s . For the nMOSFET, the threshold voltage is 1 V and the mobility of electrons is 300 cm²/V.s . The steady state output voltage 𝑉ₒ is ________.

[ "equal to 0 V", "more than 2 V", "less than 2 V", "equal to 2V" ]

2

ec_question_18.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_18.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

19

Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for 𝐴₀, 𝐴₁, 𝐴₂, and 𝐴₃ are ____________.

[ "𝐴₀ = 0, 𝐴₁ = 0, 𝐴₂ = 1, and 𝐴₃ = 1", "𝐴₀ = 1, 𝐴₁ = 0, 𝐴₂ = 1, and 𝐴₃ = 0", "𝐴₀ = 0, 𝐴₁ = 1, 𝐴₂ = 1, and 𝐴₃ = 0", "𝐴₀ = 1, 𝐴₁ = 1, 𝐴₂ = 0, and 𝐴₃ = 0" ]

2

ec_question_19.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_19.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

20

The ideal long channel nMOSFET and pMOSFET devices shown in the circuits have threshold voltages of 1 V and −1 V, respectively. The MOSFET substrates are connected to their respective sources. Ignore leakage currents and assume that the capacitors are initially discharged. For the applied voltages as shown, the steady state voltages are _________________.

[ "V₁ = 5V, V₂ = 5V", "V₁ = 5V, V₂ = 4V", "V₁ = 4V, V₂ = 5V", "V₁ = 4V, V₂ = -5V" ]

2

ec_question_20.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_20.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

21

Consider a closed-loop control system with unity negative feedback and 𝐾𝐺(𝑠) in the forward path, where the gain 𝐾=2. The complete Nyquist plot of the transfer function 𝐺(𝑠) is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume 𝐺(𝑠) has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane is ___________.

[ "0", "1", "2", "3" ]

2

ec_question_21.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_21.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

22

The root-locus plot of a closed-loop system with unity negative feedback and transfer function 𝐾𝐺(𝑠) in the forward path is shown in the figure. Note that 𝐾 is varied from 0 to ∞. Select the transfer function 𝐺(𝑠) that results in the root-locus plot of the closed-loop system as shown in the figure.

[ "𝐺(𝑠) = 1/(𝑠 + 1)⁵", "𝐺(𝑠) = 1/(𝑠⁵ + 1)", "𝐺(𝑠) = (𝑠 - 1)/(𝑠 + 1)⁶", "𝐺(𝑠) = (𝑠 + 1)/(𝑠⁶ + 1)" ]

0

ec_question_22.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_22.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

23

The frequency response 𝐻(𝑓) of a linear time-invariant system has magnitude as shown in the figure. Statement I: The system is necessarily a pure delay system for inputs which are bandlimited to −𝛼≤𝑓≤𝛼. Statement II: For any wide-sense stationary input process with power spectral density 𝑆H(𝑓), the output power spectral density 𝑆H(𝑓) obeys 𝑆H(𝑓)=𝑆H(𝑓) for −𝛼≤𝑓≤𝛼. Which one of the following combinations is true?

[ "Statement I is correct, Statement II is correct", "Statement I is correct, Statement II is incorrect", "Statement I is incorrect, Statement II is correct", "Statement I is incorrect, Statement II is incorrect" ]

2

ec_question_23.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_23.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

38

For the circuit shown, the locus of the impedance 𝑍(𝑗𝜔) is plotted as 𝜔 increases from zero to infinity. The values of 𝑅₁ and 𝑅₂ are:

[ "𝑅₁=2 kΩ, 𝑅₂=3 kΩ", "𝑅₁=5 kΩ, 𝑅₂=2 kΩ", "𝑅₁=5 kΩ, 𝑅₂=2.5 kΩ", "𝑅₁=2 kΩ, 𝑅₂=5 kΩ" ]

0

ec_question_38.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_38.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

39

Consider the circuit shown in the figure with input 𝑉(𝑡) in volts. The sinusoidal steady state current 𝐼(𝑡) flowing through the circuit is shown graphically (where 𝑡 is in seconds). The circuit element 𝑍 can be ________.

[ "a capacitor of 1 F", "an inductor of 1 H", "a capacitor of √3 F", "an inductor of √3 H" ]

1

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essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_39.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

41

For the following circuit with an ideal OPAMP, the difference between the maximum and the minimum values of the capacitor voltage (𝑉꜀) is __________.

[ "15 V", "27 V", "13 V", "14 V" ]

2

ec_question_41.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_41.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

42

A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function (𝐴ᵥ(𝑗𝜔)=𝑉ₒᵤₜ (𝑗𝜔)/𝑉ᵢₙ(𝑗𝜔)) of the circuit is also provided (here, 𝜔 is the angular frequency in rad/s). The values of 𝑅 and 𝐶 are ____________.

[ "𝑅=3 kΩ, 𝐶=1 𝜇F", "𝑅=1 kΩ, 𝐶=3 𝜇F", "𝑅=4 kΩ, 𝐶=1 𝜇F", "𝑅=3 kΩ, 𝐶=2 𝜇F" ]

0

ec_question_42.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_42.png

STEM

en

India

ec_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ec_2022.pdf

Education and Research

Graduate Level

Engineering

इलेक्ट्रॉनिक्स और संचार इंजीनियरिंग

43

For the circuit shown, the clock frequency is 𝑓ₒ and the duty cycle is 25%. For the signal at the Q output of the Flip-Flop, _______.

[ "frequency is 𝑓ₒ/4 and duty cycle is 50%", "frequency is 𝑓ₒ/4 and duty cycle is 25%", "frequency is 𝑓ₒ/2 and duty cycle is 50%", "frequency is 𝑓ₒ and duty cycle is 25%" ]

0

ec_question_43.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ec_question_43.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

5

For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?

[ "A", "B", "C", "D" ]

0

ce2_question_5.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce2_question_5.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

10

An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east. The ant first turns 72° anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting. 1. moves forward for 10 cm. 2. turns 144° clockwise The pattern made by the trace left behind by the ant is:

[ "A", "B", "C", "D" ]

2

ce2_question_10.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce2_question_10.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

15

Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties). Which one of the following combinations is correct?

[ "i-P, ii-Q and T, iii-R and S", "i-Q and T, ii-P and S, iii-R", "i-P, ii-Q and R, iii-T", "i-T, ii-S, iii-P and Q" ]

0

ce2_question_15.png

essential

table

null

data/GATE_2022_Multimodal/images/ce2_question_15.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

16

Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are

[ "2 and 1", "2 and 0", "1 and 2", "2 and 2" ]

0

ce2_question_16.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce2_question_16.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

18

Stresses acting on an infinitesimal soil element are shown in the figure (with σz > σₓ ). The major and minor principal stresses are σ₁ and σ₃, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane?

[ "A", "B", "C", "D" ]

0

ce2_question_18.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce2_question_18.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

19

Match Column X with Column Y. Which one of the following combinations is correct?

[ "P-IV, Q-III, R-V, S-I, T-II", "P-III, Q-IV, R-V, S-I, T-II", "P-IV, Q-III, R-II, S-I, T-V", "P-III, Q-IV, R-I, S-V, T-II" ]

0

ce2_question_19.png

essential

table

null

data/GATE_2022_Multimodal/images/ce2_question_19.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

23

Match the following attributes of a city with the appropriate scale of measurements. Which one of the following combinations is correct?

[ "P-I, Q-III, R-IV, S-II", "P-II, Q-I, R-IV, S-III", "P-II, Q-III, R-IV, S-I", "P-I, Q-II, R-III, S-IV" ]

0

ce2_question_23.png

essential

table

null

data/GATE_2022_Multimodal/images/ce2_question_23.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

37

An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natural period of this system are ω rad/s and T s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are

[ "2ω rad/s and T/2 s", "ω/2 rad/s and 2T s", "4ω rad/s and T/4 s", "ω rad/s and T s" ]

0

ce2_question_37.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce2_question_37.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

38

For the square steel beam cross-section shown in the figure, the shape factor about Z — Z axis is S and the plastic moment capacity is Mp. Consider yield stress fy = 250 MPa and a = 100 mm. The values of S and Mp (rounded-off to one decimal place) are

[ "S = 2.0, Mp = 58.9 kN-m", "S = 2.0, Mp = 100.2 kN-m", "S = 1.5, Mp = 58.9 kN-m", "S = 1.5, Mp = 100.2 KN-m" ]

0

ce2_question_38.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce2_question_38.png

STEM

en

India

ce2_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ce2_2022.pdf

Education and Research

Graduate Level

Engineering

सिविल इन्जिनियरिङ

41

A soil sample is underlying a water column of height h₁, as shown in the figure. The vertical effective stresses at points A, B, and C are σa', σb', and σc', respectively. Let γsat and γ' be the saturated and submerged unit weights of the soil sample, respectively, and γw be the unit weight of water. Which one of the following expressions correctly represents the sum (σa' + σb' + σc') ?

[ "(2h₂ + h₃)γ'", "(h₁ + h₂ +h₃)γ'", "(h₂ + h₃)(γsat - γw)", "(h₁ + h₂ + h₃)γsat" ]

0

ce2_question_41.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ce2_question_41.png

STEM

en

India

ph_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf

Education and Research

Graduate Level

Physics

भौतिक विज्ञान

11

For the Op-Amp circuit shown below, choose the correct output waveform corresponding to the input 𝑉 = 1.5sin20𝜋𝑡 (in Volts). The saturation voltage for this circuit is 𝑉 = ±10 V.

[ "A", "B", "C", "D" ]

0

ph_question_11.png

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diagram

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data/GATE_2022_Multimodal/images/ph_question_11.png

STEM

en

India

ph_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf

Education and Research

Graduate Level

Physics

भौतिक विज्ञान

12

Match the order of 𝛽 – decays given in the left column to appropriate clause in the right column. Here 𝑋(𝐼 ) and 𝑌(𝐼 ) are nuclei with intrinsic spin 𝐼 and parity 𝜋.

[ "1 – i, 2 – ii, 3 – iii, 4 – iv", "1 – iv, 2 – i, 3 – ii, 4 – iii", "1 – i, 2 – iii, 3 – ii, 4 – iv", "1 – iv, 2 – ii, 3 – iii, 4 – i" ]

1

ph_question_12.png

essential

table

null

data/GATE_2022_Multimodal/images/ph_question_12.png

STEM

en

India

ph_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf

Education and Research

Graduate Level

Physics

भौतिक विज्ञान

39

Consider a particle in three different boxes of width 𝐿. The potential inside the boxes vary as shown in figures (i), (ii) and (iii) with 𝑉₀ ≪ ℏ²𝝅²/2mL². The corresponding ground-state energies of the particle are 𝐸₁, 𝐸₂ and 𝐸₃, respectively. Then

[ "𝐸₂ > 𝐸₁ > 𝐸₃", "𝐸₃ > 𝐸₁ > 𝐸₂", "𝐸₂ > 𝐸₃ > 𝐸₁", "𝐸₃ > 𝐸₂ > 𝐸₁" ]

0

ph_question_39.png

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diagram

null

data/GATE_2022_Multimodal/images/ph_question_39.png

STEM

en

India

ph_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ph_2022.pdf

Education and Research

Graduate Level

Physics

भौतिक विज्ञान

44

At T = 0 K, which of the following diagram represents the occupation probability P(𝐸) of energy states of electrons in a BCS type superconductor?

[ "A", "B", "C", "D" ]

0

ph_question_44.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ph_question_44.png

STEM

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ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

14

The value of the real variable 𝑥≥0, which maximizes the function f(x) is

[ "e", "0", "1/e", "1" ]

0

ch_question_14.png

essential

diagram

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data/GATE_2022_Multimodal/images/ch_question_14.png

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India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

21

A control system on the jacket side of a reactor is shown in the figure. Pressurized water flows through the jacket to cool the reactor. The heated water flashes in the boiler. The exothermic reaction heat thus generates steam. Fresh boiler feed water (BFW) is added to make-up for the loss of water as steam. Assume that all control valves are air-to-open. The controller action, ‘direct’ or ‘reverse’, is defined with respect to the controller. Select the option that correctly specifies the action of the controllers.

[ "PC: Reverse, LC: Direct, TC: Reverse", "PC: Direct, LC: Reverse, TC: Direct", "PC: Direct, LC: Reverse, TC: Reverse", "PC: Reverse, LC: Direct, TC: Direct" ]

2

ch_question_21.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ch_question_21.png

STEM

en

India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

22

Liquid flowing through a heat exchanger (HX) is heated. A bypass stream is provided to control the temperature of the heated exit stream. From the given plumbing options, the one that provides the most effective temperature control for large disturbances while avoiding vaporization in the heat exchanger is

[ "A", "B", "C", "D" ]

2

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data/GATE_2022_Multimodal/images/ch_question_22.png

STEM

en

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ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

23

The appropriate feedforward compensator, 𝐺ff, in the shown block diagram is

[ "𝐺ff = (2/3) * (8s + 1)/(5s + 1)", "𝐺ff = (-2/3) * (8s + 1)/(5s + 1)", "𝐺ff = (3/2) * ((5s + 1)/(8s + 1)) * e⁻ˢ", "𝐺ff = (-3/2) * ((5s + 1)/(8s + 1)) * e⁻ˢ" ]

0

ch_question_23.png

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diagram

null

data/GATE_2022_Multimodal/images/ch_question_23.png

STEM

en

India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

24

Choose the option that correctly pairs the given measurement devices with the quantities they measure.

[ "I-E II-C III-D IV-B V-A", "I-C II-D III-A IV-B V-C", "I-C II-D III-E IV-A V-D", "I-D II-C III-A IV-E V-C" ]

1

ch_question_24.png

essential

table

null

data/GATE_2022_Multimodal/images/ch_question_24.png

STEM

en

India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

27

In an enzymatic reaction, an inhibitor (I) competes with the substrate (S) to bind with the enzyme (E), thereby reducing the rate of product (P) formation. The competitive inhibition follows the reaction mechanism shown below. Let [S] and [I] be the concentration of S and I, respectively, and 𝑟(cid:3046) be the rate of consumption of S. Assuming pseudo-steady state, the correct plot of 1/-rₛ vs 1/[s] is

[ "A", "B", "C", "D" ]

0

ch_question_27.png

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diagram

null

data/GATE_2022_Multimodal/images/ch_question_27.png

STEM

en

India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

37

𝑁 moles of an ideal gas undergo a two-step process as shown in the figure. Let 𝑃, 𝑉 and 𝑇 denote the pressure, volume and temperature of the gas, respectively. The gas, initially at state-1 (𝑃₁, 𝑉₁, 𝑇₁), undergoes an isochoric (constant volume) process to reach state-A, and then undergoes an isobaric (constant pressure) expansion to reach state-2 (𝑃₂, 𝑉₂, 𝑇₂). For an ideal gas, 𝐶ₚ – 𝐶ᵥ = 𝑁𝑅, where 𝐶ₚ and 𝐶ᵥ are the heat capacities at constant pressure and constant volume, respectively, and assumed to be temperature independent. The heat gained by the gas in the two-step process is given by

[ "𝑃₂(𝑉₂ - 𝑉₁) + 𝐶ᵥ(𝑇₂ - 𝑇₁)", "𝑃₂(𝑉₂ - 𝑉₁) + 𝐶ₚ(𝑇₂ - 𝑇₁)", "𝐶ₚ(𝑇₂ - 𝑇₁) + 𝐶ᵥ(𝑇₂ - 𝑇₁)", "𝑃₂𝑉₂ - 𝑃₁𝑉₁" ]

0

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STEM

en

India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

38

A horizontal cylindrical water jet of diameter 𝐷₁ = 2 cm strikes a vertical solid plate with a hole of diameter 𝐷₂ = 1 cm, as shown in the figure. A part of the jet passes through the hole and the rest is deflected along the plate. The density of water is 1000 kg m-3. If the speed of the jet is 20 m s-1, the magnitude of the horizontal force, in N, required to hold the plate stationary is

[ "30ℼ", "10ℼ", "20ℼ", "5ℼ" ]

0

ch_question_38.png

essential

diagram

null

data/GATE_2022_Multimodal/images/ch_question_38.png

STEM

en

India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

39

Consider a horizontal rod of radius 𝑎𝑅 (𝑎 < 1) in a stationary pipe of radius 𝑅. The rod is pulled coaxially at a constant velocity 𝑉 as shown in the figure. The annular region is filled with a Newtonian incompressible fluid of viscosity μ. The steady state fully developed axial velocity profile in the fluid is given by u(r) = V * (ln(r/R)/ln(𝑎)), where r is the radial coordinate. Ignoring end effects, the magnitude of the pulling force per unit rod length is

[ "ℼμV", "-2ℼμV/ln(𝑎)", "0", "-ℼμV/ln(𝑎)" ]

1

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essential

diagram

null

data/GATE_2022_Multimodal/images/ch_question_39.png

STEM

en

India

ch_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/ch_2022.pdf

Education and Research

Graduate Level

Engineering

रासायनिक अभियांत्रिकी

43

Match the product in Group-1 with the manufacturing process in Group-2. The correct combination is

[ "P-III, Q-I, R-IV, S-II", "P-IV, Q-I, R-II, S-III", "P-III, Q-IV, R-I, S-II", "P-I, Q-IV, R-II, S-III" ]

2

ch_question_43.png

essential

table

null

data/GATE_2022_Multimodal/images/ch_question_43.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

2

A function y(x) is defined in the interval [0, 1] on the x-axis as: Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

[ "5/6", "6/5", "13/6", "6/13" ]

2

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essential

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null

data/GATE_2022_Multimodal/images/bm_question_2.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

5

A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters. From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.

[ "A", "B", "C", "D" ]

1

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essential

diagram

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data/GATE_2022_Multimodal/images/bm_question_5.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

10

A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved. What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.

[ "2", "4", "5", "3" ]

3

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essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_10.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

14

x(t) is a real continuous-time signal whose magnitude frequency response (|X (jω)|) is shown below. After sampling x(t) at 100 rad/s, the spectral point P is down-converted to ..... rad/s in the spectrum of the sampled signal.

[ "12.5", "25", "6.25", "37.5" ]

3

bm_question_14.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_14.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

15

Discrete signals x[n] and y[n] are shown below. The cross-correlation rxy[0] is:

[ "2√2", "1/2√2", "1/2", "1/√2" ]

1

bm_question_15.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_15.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

16

In the circuit diagram shown below, the logic gates operate with a supply voltage of 1 V. NAND and XNOR have 200 ps and 400 ps input-to-output delay, respectively. At time t = T, A(t) = 0, B(t) = 1 and Z(t) = 0. When the inputs are changed to A(t) = 1, B(t) = 0 at t = 2T, a 1 V pulse is observed at Z. The pulse width of the 1 V pulse is ..... ps.

[ "100", "200", "400", "600" ]

1

bm_question_16.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_16.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

17

Input bits X and Y are added by using the combinational logic as shown below. S represents the sum of the two bits. For a correct implementation of the sum, the signals D0, D1, D2, D3 are respectively:

[ "1, 0, 0, 1", "0, 1, 0, 1", "1, 0, 1, 1", "0, 1, 1, 0" ]

0

bm_question_17.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_17.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

19

For the balanced Owen-bridge circuit shown in the figure, the values of Lₓ and Rₓ are:

[ "Lₓ=R₂R₃/C₃, Rₓ=R₂C₁/C₃", "Lₓ=R₂R₃C₁, Rₓ=R₂C₁/C₃", "Lₓ=R₂R₃C₁, Rₓ=R₂C₃/C₁", "Lₓ=R₂R₃C₃, Rₓ=R₂C₁C₃" ]

1

bm_question_19.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_19.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

38

An input x(t) is applied to a system with a frequency transfer function given by H(jω) as shown below. The magnitude and phase response of the transfer function are shown below. If y(tₔ) = 0 for x(t) = u(t), the time tₔ (> 0) is .... μs.

[ "100 ln(2)", "10 ln(2)", "1000 ln(2)", "ln(2)" ]

0

bm_question_38.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_38.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

39

The block diagram of a two-tap high-pass FIR filter is shown below. The filter transfer function is given by H(z) = Y(z)/X(z). If ratio of the maximum to minimum value of H(z) is 2 and |H(Z)|ₘₐₓ = 1, the coefficients β₀ and β₁ are respectively:

[ "0.75, —0.25", "0.67, 0.33", "0.60, —0.40", "—0.64, 0.36" ]

0

bm_question_39.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_39.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

40

The block diagrams of an ideal system and a real system with their impulse responses are shown below. An auxiliary path is added to the delayed impulse response in the real system. For a unit impulse input (x(t) = δ(t)) to both systems, gain β is chosen such that y(4T) is same for both systems. The value of β is

[ "(e^(-3αT))*(1 - (e^(-2αT)))", "(-e^(-αT))*(1 - (e^(-3αT)))", "(-e^(-3αT))*(1 - (e^(-αT)))", "(e^(-2αT))*(1 - (e^(-2αT)))" ]

2

bm_question_40.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_40.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

41

A filter is designed using opamps, resistors, and capacitors as shown below. Opamps are ideal with infinite gain and infinite bandwidth. If 𝑉ₒ(𝑠)/𝑉ᵢ(𝑠) is an all-pass transfer function, the value of resistor R2 is ______________ kΩ.

[ "1", "10", "5", "2" ]

1

bm_question_41.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_41.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

43

Consider the Einthoven’s triangle of frontal ECG for the 3 electrodes RA, LA and LL shown in the figure. The augmented lead vectors bisect the bipolar lead vectors. At the peak of R wave, the cardiac vector M points vertically downwards with |M| =5 mV. The voltages on leads I and II are ______________ mV and ______________ mV, respectively.

[ "0, 4.33", "2.17, 0", "0, 2.17", "4.33, 0" ]

0

bm_question_43.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_43.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

45

The deltoid muscle connects the humerus to the shoulder blade and facilitates out stretching of the arm as shown in the figure. The humerus is connected to the shoulder blade with a ball and socket joint. Assume the equivalent weight (W) of the arm to be 30 N and acts vertically down at a horizontal distance of 30 cm. Assume that the deltoid muscle is connected to the humerus at a distance of 15 cm and makes an average angle of 20° with the horizontal. The magnitude of tension in the deltoid muscle is ______________ N.

[ "31.9", "63.8", "87.7", "175.4" ]

3

bm_question_45.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_45.png

STEM

en

India

bm_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/bm_2022.pdf

Education and Research

Graduate Level

Engineering

जैव चिकित्सा इंजिनियरिंग

48

Based on the stress-strain curves of three different materials (X, Y, and Z) shown in the figure, which one of the following choices is CORRECT?

[ "X — Titanium, Y — Hydroxyapatite, Z — Polyethylene", "X — Hydroxyapatite, Y — Titanium, Z — Polyethylene", "X — Hydroxyapatite, Y — Polyethylene, Z — Titanium", "X— Polyethylene, Y — Titanium, Z — Hydroxyapatite" ]

1

bm_question_48.png

essential

diagram

null

data/GATE_2022_Multimodal/images/bm_question_48.png

STEM

en

India

pe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf

Education and Research

Graduate Level

Engineering

पेट्रोलियम इंजीनियरिंग

14

The general equation for the production rate decline can be expressed as in figure. Match the value of d (Group 1) with the appropriate decline curves (Group 2).

[ "I – P; II – Q; III – R", "I – P; II – R; III – Q", "I – Q; II – R; III – P", "I – Q; II – P; III – R" ]

3

pe_question_14.png

essential

diagram

null

data/GATE_2022_Multimodal/images/pe_question_14.png

STEM

en

India

pe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf

Education and Research

Graduate Level

Engineering

पेट्रोलियम इंजीनियरिंग

19

The liquid shrinkage curves for different types of crude oil are shown in the following figure. Which curve represents the Black Oil?

[ "I", "II", "III", "IV" ]

1

pe_question_19.png

essential

diagram

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data/GATE_2022_Multimodal/images/pe_question_19.png

STEM

en

India

pe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf

Education and Research

Graduate Level

Engineering

पेट्रोलियम इंजीनियरिंग

20

The dynamic mud inflow rate and mud outflow rate profiles are shown in the following figure. Identify the “Hole ballooning” and the “Lost circulation” phenomena.

[ "Case 1 – Hole ballooning; Case 3 – Lost circulation", "Case 2 – Lost circulation; Case 3 – Hole ballooning", "Case 1 – Lost circulation; Case 2 – Hole ballooning", "Case 2 – Hole ballooning; Case 3 – Lost circulation" ]

1

pe_question_20.png

essential

diagram

null

data/GATE_2022_Multimodal/images/pe_question_20.png

STEM

en

India

pe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf

Education and Research

Graduate Level

Engineering

पेट्रोलियम इंजीनियरिंग

38

Which ONE of the following options is the CORRECT match of contaminants and their effluent treatment techniques?

[ "I – P ; II – Q ; III – R ; IV – S", "I – Q ; II – R ; III – P ; IV – S", "I – Q ; II – S ; III – P ; IV – R", "I – R ; II – S ; III – Q ; IV – P" ]

1

pe_question_38.png

essential

table

null

data/GATE_2022_Multimodal/images/pe_question_38.png

STEM

en

India

pe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf

Education and Research

Graduate Level

Engineering

पेट्रोलियम इंजीनियरिंग

39

Capillary pressure (𝑃꜀) vs water saturation (𝑆ᵥᵥ) curves for different sandstone reservoirs (I, II, III and IV) are given in the following figure. Which reservoir has the most uniform pore size distribution?

[ "I", "II", "III", "IV" ]

3

pe_question_39.png

essential

diagram

null

data/GATE_2022_Multimodal/images/pe_question_39.png

STEM

en

India

pe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf

Education and Research

Graduate Level

Engineering

पेट्रोलियम इंजीनियरिंग

40

Flow tests are conducted for oil well in reservoirs P, Q, R and S having different parameters as given in the following table. In all the four cases the wells are tested at 1200 stb/day. Identify the reservoir in which the pressure transient reaches earliest at a point 2000 ft away from the wellbore.

[ "P", "Q", "R", "S" ]

2

pe_question_40.png

essential

table

null

data/GATE_2022_Multimodal/images/pe_question_40.png

STEM

en

India

pe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/pe_2022.pdf

Education and Research

Graduate Level

Engineering

पेट्रोलियम इंजीनियरिंग

42

The log data obtained for a particular well section are shown in the following figures. Identify the CORRECT interpretations for different zones.

[ "Zone 1 – shale, Zone 2 – clean sand with oil, Zone 3 – clean sand with gas Zone, 4 – clean sand with water", "Zone 1 – clean sand with gas, Zone 2 – clean sand with oil, Zone 3 – clean sand with water, Zone 4 – shale", "Zone 1 – shale, Zone 2 – clean sand with gas, Zone 3 – clean sand with oil, Zone 4 – clean sand with water", "Zone 1 – clean sand with water, Zone 2 – clean sand with oil, Zone 3 – clean sand with gas, Zone 4 – shale" ]

2

pe_question_42.png

essential

table

null

data/GATE_2022_Multimodal/images/pe_question_42.png

STEM

en

India

xe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/xe_2022.pdf

Education and Research

Graduate Level

Engineering

इंजीनियरिंग विज्ञान

22

A heavy horizontal cylinder of diameter D supports a mass of liquid having density 𝜌 as shown in the figure. Find out the vertical component of force exerted by the liquid per unit length of the cylinder if g is the acceleration due to gravity.

[ "𝞹D²𝜌g/4", "𝞹D²𝜌g/8", "𝞹D²𝜌g/2", "𝞹D²𝜌g/3" ]

1

xe_question_22.png

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diagram

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data/GATE_2022_Multimodal/images/xe_question_22.png

STEM

en

India

xe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/xe_2022.pdf

Education and Research

Graduate Level

Engineering

इंजीनियरिंग विज्ञान

23

The figure shows the developing zone and the fully developed region in a pipe flow where the steady flow takes place from left to right. The wall shear stress in the sections A, B, C, and D are given by 𝜏A ,𝜏B ,𝜏C , and 𝜏D , respectively. Select the correct statemen

[ "𝜏A > 𝜏B", "𝜏B > 𝜏A", "𝜏C > 𝜏B", "𝜏C > 𝜏D" ]

0

xe_question_23.png

essential

diagram

null

data/GATE_2022_Multimodal/images/xe_question_23.png

STEM

en

India

xe_2022.pdf

https://gate.iitkgp.ac.in/documents/gatepapers/2022/xe_2022.pdf

Education and Research

Graduate Level

Engineering

इंजीनियरिंग विज्ञान

24

The left hand column lists some non-dimensional numbers and the right hand column lists some physical phenomena. Indicate the correct combination

[ "1-iii, 2-i, 3-ii, 4-iv", "1-i, 2-ii, 3-iv, 4-iii", "1-iv, 2-iii, 3-iv, 4-iii", "2-iv, 1-iii, 3-ii, 4-i" ]

0

xe_question_24.png

essential

table

null

data/GATE_2022_Multimodal/images/xe_question_24.png

STEM