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The surface tension of soap solution is \( 0.03 N / m . \) The work done in blowing to form a soap bubble of surface area \( 40 c m^{2}, \) in Joules, is: A \( \cdot 1.2 \times 10^{-4} \) B. \( 2.4 \times 10^{-4} \) c. \( 12 \times 10^{-4} \) D. \( 24 \times 10^{-4} \)
3
Physics
The value of \( \sin \left(\frac{1}{4} \sin ^{-1} \frac{\sqrt{63}}{8}\right) \) is A \( \cdot \frac{1}{2} \) B. \( \frac{1}{3} \) \( c \cdot \frac{1}{2 \sqrt{2}} \) D.
2
Maths
Statement 1: The addition of \( \boldsymbol{H}_{2} \) to ethene will form an unsaturated compound called ethane Statement 2: Ethane, has as many hydrogen atoms bonded to the carbon atoms as possible A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement' c. statement 1 is correct but Statement 2 is not correct D. Statement 1 is not correct but Statement 2 is correct E. Both the Statement 1 and Statement 2 are not correct
1
Chemistry
The single \( X-X \) bond made by \( N \) is weaker than that of \( P \) because: A. of repulsion between nitrogen nucleus due to smaller size of nitrogen atom B. of repulsion between non-bonded electrons due to smaller size of nitrogen atom c. of higher bond enthalpy of nitrogen D. all of the above
1
Chemistry
Observe the following statements. 1. Lanthanides actively participate in chemical reactions. 2. The basic nature of hydroxides of lanthanides increases from \( L a(O H)_{3} \) to \( L u(O H)_{3} \) 3. Lanthanides do not form coordinate compounds as readily as d-block metals. The correct statements are: A. \( 1,2 \& 3 \) В. 183 \( c \cdot 1 \& 2 \) D. 2 \& 3
1
Chemistry
The criterion of spontaneity in terms of Gibbs energy is the same as that laid down by second law of thermodynamics. How?
1
Chemistry
Which of the following rational numbers lies between \( \frac{3}{4} \) and \( \frac{13}{8} ? \) A \( \cdot \frac{11}{16} \) в. \( \frac{12}{16} \) c. \( \frac{19}{16} \) D. \( \frac{26}{16} \)
2
Maths
If \( m \) th term of an A.P. is \( n \) and \( n \) th term is \( m, \) then the \( (m+n) \) th term is \( \mathbf{A} \cdot \mathbf{0} \) B. \( m+n-1 \) \( \mathrm{c} \cdot m+n \) D. \( \frac{m n}{m+n} \)
2
Maths
In the figure, \( Q X \) and \( R X \) are the bisectors of angles \( Q \) and \( R \) respectively of \( \triangle \boldsymbol{P Q R} \). If \( \boldsymbol{X} \boldsymbol{S} \perp \boldsymbol{Q} \boldsymbol{R} \) and \( X T \perp Q R, \) then \( \triangle X T Q \cong \triangle X S Q \) by \( _{\text {一一一一一一一一一一 }} \) congruency A. \( S A S \) B. \( R H S \) c. \( A A S \) D. \( A S A \)
2
Maths
What do you understand by the terms nomenclature and classification?
0
Biology
A material B' has twice the specific resistance of \( \mathbf{A}^{\prime} . \) A circular wire made of B' has twice the diameter of a wire made of \( \mathbf{A}^{\prime} . \) Then for the two wires to have the same resistance, the ratio \( \boldsymbol{P}_{\mathrm{A}} / \boldsymbol{P}_{\mathrm{B}} \) of their respective lengths must be \( A \cdot 2 \) B. 1 \( c \cdot \frac{1}{2} \) D.
3
Physics
How did Mendeleev predict the existence of some yet to be discovered elements in his periodic table? A. Gaps B. Atomic number c. Mass number D. None of the above
1
Chemistry
A die is thrown. Find the probability of getting: 2 or 4
2
Maths
Assertion Amount of biodegradable present in water is measured by BOD organic matter Reason During biodegradation of organic compounds, oxygen is released. A. Both A and R are true and R is the correct explanation of B. Both A and R are true and R is not the correct explanation of c. A is true but R is false D. Both A and R are false
0
Biology
A very high magnetic field is applied to a stationary charge. Then, the charge experiences A. A force in a direction of magnetic field B. A force perpendicular to the magnetic field c. A force in an arbitrary direction D. No force
3
Physics
The relative magnetic permeability of a magnetic material is 800 . Identify the nature of magnetic material and state its own properties.
3
Physics
How can we be safe when there is occurrence of lightning? A. Taking shelter under building or house B. When travelling through car or bus, making sure windows and doors are shutt C. If in forest, taking shelter under short trees D. All of the above
3
Physics
Water potential in the leaf tissue is positive (+ve) during A. Excessive transpiration B. Low absorption c. Low transpiration D. Guttation
0
Biology
Statement 1: A charge is outside the Gaussian sphere of radius \( R \). Then electric field on the surface of sphere is zero Statement 2: As \( \oint \vec{E} . \overrightarrow{d s}=\frac{q_{i n}}{\varepsilon_{0}}, \) for the sphere \( \boldsymbol{q}_{\boldsymbol{i n}} \) is zero, so \( \oint \overrightarrow{\boldsymbol{E}} \cdot \overrightarrow{\boldsymbol{d} s}=\mathbf{0} \) A. Statement 1 is true, statement 2 is true and statement 2 is correct explanation for statement B. Statement 1 is true, statement 2 is true and statement 2 is NOT the correct explanation for statement c. Statement 1 is true, statement 2 is false D. Statement 1 is false, statement 2 is true
3
Physics
A potentiometer wire has length \( 4 \mathrm{m} \) and resistance \( 8 \Omega \).What should be the resistance that must be connected in series with the wire and an accumulator of emf \( 2 \mathrm{V}, \) so as to get a potential gradient \( 1 \mathrm{m} \mathrm{V} \) per \( \mathrm{cm} \) on the wire? A . \( 32 \Omega \) B. \( 36 \Omega \) c. \( 40 \Omega \) D. \( 30 \Omega \)
3
Physics
\( 13.8 g \) of \( N_{2} O_{4} \) was placed in a \( 1 L \) reaction vessel at \( 400 K \) and allowed attain equibrium \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \) The total pressure at equilibrium was found to be 9.15 bar. Calculate \( K_{c}, K_{p} \) and partial pressure at equilibrium.
1
Chemistry
The degree and order of the differential equation \( \left[1+2\left(\frac{d y}{d x}\right)^{2}\right]^{1 / 2}=5 \frac{d^{2} y}{d x^{2}} \) are \( A \cdot 1,2 \) B. 2, c. 3,1 D. 4,3
2
Maths
A steamer crosses a river having a width of \( 240 m \) which is flowing with a speed of \( 8 m / s . \) In order to cross the river along the shortest path, find the time of crossing the river. [velocity of steamer in still water is \( 10 \mathrm{ms}^{-1} \) ].
3
Physics
A gas consisting of rigid diatomic molecules is expanded adiabatically. How many times has the gas to be expanded to reduce the r.m.s. velocity of the molecules to \( \left(\frac{2}{3}\right) \) rd of initial value. A . 0.13 B. 7.6 \( c .5 \) D. 3.8
1
Chemistry
Identify the functional group in the following detergent molecule. \( \boldsymbol{C H}_{\mathbf{3}}- \) \( \left(\boldsymbol{C} \boldsymbol{H}_{2}\right)_{10}-\boldsymbol{C H}_{2} \boldsymbol{O S O}_{3}^{-} \boldsymbol{N a}^{+} \)
1
Chemistry
"Sporeine" is used to control A. Bacterial pathogen B. Fungal pathogen c. Nematodes D. Insects pest
1
Chemistry
The frequency of a light wave in a material is \( 2 \times 10^{14} \mathrm{Hz} \) and wavelength is 5000 A. The refractive index of material will be A . 1.40 в. 1.50 \( c .3 .00 \) D. 1.33
3
Physics
Nitrogen has unique ability to form \( \boldsymbol{P} \boldsymbol{\pi}-\boldsymbol{P} \boldsymbol{\pi} \) multiple bonds with itself and with other elements due to: A. small size and low electronegativity B. large size and high electronegativity c. large size and low electronegativity D. small size and high electronegativity
1
Chemistry
Two resistances \( r_{1}=(5.0 \pm 0.2) \Omega \) and \( r_{2}=(10.0 \pm 0.1) \Omega \) are connected in parallel. Find the value of equivalent resistance with limits of percentage error. A \( \cdot r_{p}=4 \Omega \pm 7 \% \) B . \( r_{p}=3.3 \Omega \pm 14 \% \) \( \mathbf{c} \cdot r_{p}=3.3 \Omega \pm 3.5 \% \) D . \( r_{p}=3.3 \Omega \pm 7 \% \)
3
Physics
In bridge rectifier circuit, (see fig.), the input signal should be connected between A. A and D \( B . B \) and \( C \) c. \( A \) and \( C \) D. \( B \) and \( D \)
3
Physics
Which of the following shows the correct order of decreasing basicity in aqueous medium: \( \mathbf{A} \cdot\left(C H_{3}\right)_{3} N>\left(C H_{3}\right)_{2} N H>C H_{3} N H_{2}>N H_{3} \) в. \( \left(C H_{3}\right)_{2} N H>\left(C H_{3}\right)_{3} N>C H_{3} N H_{2}>N H_{3} \) C \( \cdot\left(C H_{3}\right)_{2} N H>C H_{3} N H_{2}>\left(C H_{3}\right)_{3} N>N H_{3} \) D. \( \left(C H_{3}\right)_{2} N H>C H_{3} N H_{2}>N H_{3}>\left(C H_{3}\right)_{3} N \)
1
Chemistry
In the diagrams (i) to (iv) of variation of volume with changing pressure is shown. A gas is taken along the path \( A B C D A \). The change in internal energy of the gas will be \( (\mathbf{i}) \) \( (\text { iii }) \) A. Positive in all cases (i) to (iv) B. Positive in cases (i), (ii) and (iii) but zero in case (iv) c. Negative in cases (i), (ii) and (iii) but zero in case (iv) D. zero in all the four cases
3
Physics
What is the difference between lymph and blood?
0
Biology
Permanent magnets are made from A. diamagnetic substances B. paramagnetic substance C. ferromagnetic substances D. wood
3
Physics
Substances like glucose, amino acids, Nat etc in filtrate are reabsorbed by A. Passive transportt B. Active transport C. Both active and passive transport D. Facilitated diffusion
0
Biology
Which of the following plots represents an ideal binary mixture? \( \mathbf{A} \cdot \) Plot of \( P_{\text {total}} v / s 1 / X \) is linear \( \left(X_{B}= \) mole fraction of \right. 'B' in liquid phase). B. Plot of \( P_{\text {total}} v / s Y_{A} \) is linear \( \left(Y_{B}= \) mole fraction of 'A' \right. in vapour phase) C ef of \( \frac{1}{P_{\text {total}}} v / s Y_{A} \) is linear D. plot of \( \frac{1}{P_{\text {total}}} v / s Y_{B} \) is non linear
1
Chemistry
Expalin the following: The \( E^{o} c u^{21} / c u \) for copper metal is positive \( (+0.34), \) unlike the remaining members of the first transition series
1
Chemistry
Besides water and light, which is more essential as a raw material for food formation in plants? \( A \cdot O_{2} \) B. \( \mathrm{cO}_{2} \) c. Minerals salts D. NAD
0
Biology
The rate of the elementary reaction \( \mathbf{2} N \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{2}(\boldsymbol{g}) \) at \( \boldsymbol{3} \boldsymbol{8} \boldsymbol{0}^{\circ} \boldsymbol{C} \) is given by Rate \( =2.6 \times \) \( \mathbf{1 0}^{-\mathbf{3}}[\mathbf{N O}]^{\mathbf{2}}\left[\mathbf{O}_{\mathbf{2}}\right] . \) The rate of the reverse reaction is given by under identical conditions is given by Rate \( = \) \( 4.1\left[N O_{2}\right]^{2} . \) Calculate equilibrium constant.
1
Chemistry
A list of reactions are given below. (a) \( \boldsymbol{F e}+\mathbf{2 H C l} \rightarrow \boldsymbol{F e C l}_{2}+\boldsymbol{H}_{2} \) (b) \( \boldsymbol{F e} \boldsymbol{S}+\boldsymbol{2} \boldsymbol{H} \boldsymbol{C l} \rightarrow \boldsymbol{F} \boldsymbol{e} \boldsymbol{C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{S} \) (c) \( \boldsymbol{F} \boldsymbol{e}+\boldsymbol{S} \stackrel{\boldsymbol{\Delta}}{\longrightarrow} \boldsymbol{F} \boldsymbol{e} \boldsymbol{S} \) (d) \( \boldsymbol{N a C l}+\boldsymbol{H}_{2} \boldsymbol{S O}_{4} \stackrel{<200^{\circ} \boldsymbol{C}}{\longrightarrow} \) \( N a H S O_{4}+H C l \) \( (e) C u S O_{4}+H_{2} S \rightarrow C u S+H_{2} S O_{4} \) \( (f) S+H_{2} S O_{4} \rightarrow 3 S O_{2}+H_{2} O \) Identify redox reactions. \( A \cdot a, c \) and \( f \) B. d and f \( c \cdot c \) and \( d \) D. c, d and f
1
Chemistry
The oxide of nitrogen formed in atmosphere during lightning is \( A \cdot N_{2} O \) в. NO \( \mathrm{c} \cdot \mathrm{N}_{2} \mathrm{O}_{3} \) D. \( \mathrm{N}_{2} \mathrm{O}_{5} \)
1
Chemistry
One mole of radium has an activity of \( 1 / 3.7 \) killo curie. Its decay constant will be A \( \cdot \frac{1}{6} \times-10 s^{-1} \) В. \( 10^{-10} s^{-1} \) \( \mathbf{c} \cdot 10^{-11} s^{-1} \) D. \( 10^{-8} s^{-1} \)
3
Physics
The length and breadth of a rectangular piece of land are \( 500 \mathrm{m} \) and \( 300 \mathrm{m} \) respectively. Find the cost of the land, if \( 1 m^{2} \) of the land costs Rs. 10,000
2
Maths
Find the average age of the people given below in the tabular column. Use step deviation method. A. 12 years B. 11 years c. 13 years D. 14 years
2
Maths
Polarisation is the distortion of the shape of an anion by an adjacently placed cation. Which of the following statements is correct? This question has multiple correct options A. Maximum polarisation is brought about by a cation of high charge B. Maximum polarisation is brought about by a cation of low radius c. A large cation is likely to bring about a large degree of polarisation D. Polarising power of a cation is less than that of anion
1
Chemistry
Find the magnitude \( \& \) direction of frictional force between block \( A \) and table, if block \( A \) is pulled towards left with a force of \( 50 N \) \( \mathbf{A} \cdot 10 \hat{i} \) B . \( 10 \hat{j} \) \( c \cdot 20 \hat{i} \) D. \( 20 \hat{j} \)
3
Physics
the time when relative motion between them will stop. A \( .1 / 4 s \) B. 2/4s \( c \cdot 3 / 4 s \) D. \( 5 / 4 s \)
3
Physics
A person with a normal near point (25 \( \mathrm{cm} \) ) using a compound microscope with objective of focal length \( 8.0 \mathrm{mm} \) and an eyepiece of focal length \( 2.5 \mathrm{cm} \) can bring an object placed at \( 9.0 \mathrm{mm} \) from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope.
3
Physics
You are required to make an electromagnet from a soft iron bar by using a cell, an insulated coil of copper wire and a switch. Draw a circuit diagram to represent the process.
3
Physics
Assume that configurations consisting of a completely filled or half filled set of \( \boldsymbol{d} \) -orbitals is spherically symmetrical The species having spherical symmetry are: This question has multiple correct options A. \( Z n \) в. \( C u^{+} \) c. \( P d \) D. \( C r \)
1
Chemistry
(i) It is observed that the temperature of the surroundings starts falling when the ice in a frozen lake starts melting. Give a reason for the observation. (ii) How is the heat capacity of the body related to its specific heat capacity?
3
Physics
State the property illustrated by the statement. \( \frac{4}{5} \times 1=1 \times \frac{4}{5} \) is multiplicative inverse A. multiplicative B. multiplicative inverse c. data inadequate D. none of these
2
Maths
3 spheres \( A, B \) and \( C \) having radii \( R, 2 R \) and \( 3 R \) respectively are coated with carbon black on their surfaces. The wavelengths corresponding to maximum intensity are 3000,4000 and \( \mathbf{5 0 0 0} \) respectively. The power radiated by them are \( Q_{A}, Q_{B} \) and \( Q_{C} . \) Then A \( \cdot Q_{A} \) is maximum among all B. \( Q_{B} \) is maximum among all c. \( Q_{C} \) is maximum among all D. \( Q_{A}=Q_{B}=Q_{C} \)
3
Physics
Mass number is also called as A. weight B. molecular weight c. Both A and B D. atomic mass number
1
Chemistry
toppr Q Type your question aimed towards \( Q \) and velocity \( \vec{u} \) of \( Q \) is perpendicular to \( \vec{v} \). The two projectiles meet at time \( \boldsymbol{T}= \) \( A \) B. \[ \frac{(v+u) d}{v^{2}} \] \( c \) \[ \frac{v(v-u)}{d} \] D. \[ \frac{v d}{\left(v^{2}-u^{2}\right)} \]
3
Physics
If \( \int \frac{x \cos ^{-1} x}{\sqrt{1-x^{2}}} d x= \) \( -k\left[\sqrt{1-x^{2}} \cos ^{-1} x+x\right]+C . \) what will be the value of \( k ? \)
2
Maths
For the reaction \( \boldsymbol{S O C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{S O}_{2}+2 \boldsymbol{H C l} \) the enthalpy of reaction is \( 49.4 k J \) and the entropy of reaction is \( 336 J K^{-1} \) Calculate \( \Delta G \) at \( 300 K \) and predict the nature of the reaction.
1
Chemistry
Calculate the weight of the block at a distance of four times of Earth radii from the center of the Earth. It is given that \( g \) is the acceleration due to gravity at the surface of Earth and mass of the block is \( \mathrm{m} \) A. \( 16 \mathrm{mg} \) B. \( 4 \mathrm{mg} \) c. \( 2 \mathrm{mg} \) D. \( \frac{1}{4} \mathrm{mg} \) E \( \cdot \frac{1}{16} \mathrm{mg} \)
3
Physics
Which of the following coordination compounds would exhibit optica isomerism? A. Pentamminenitrocobalt (III) iodide B. Tris-(ethylenediamine) cobalt (III) bromide c. Trans- dicyanobis (ethylenediamine) D. Diamminedinitroplatinum (II)
1
Chemistry
Which of the following compounds is/are expected to be colored? This question has multiple correct options A \( \cdot T i\left(N O_{3}\right)_{4} \) \( \mathbf{B} \cdot\left[C u\left(N C C H_{3}\right)_{4}\right] B F_{4}^{-} \) c. \( \left[C r\left(N H_{3}\right)_{6}\right]^{3}+3 C l \) D \( \cdot K_{3}\left[V F_{6}\right] \)
1
Chemistry
Which of the following compounds are involved in the formation of sulfur trioxide? This question has multiple correct options A \( \cdot H_{2} S_{2} O_{5} \) в. \( N a H S O_{4} \) c. \( N a_{2} S_{2} O_{7} \) D. \( H_{2} S_{2} O_{7} \)
1
Chemistry
When a satellite falls to an orbit of smaller radius its kinetic energy: A . Decrease B. Increase c. Remains same D. Nothing can be predicted
3
Physics
Lichens have an actual relationship of A. Parasitism B. Mutualism C. Helotism D. Epiphytism
0
Biology
"Aqua regia" is a combination of : A. \( H C l \) and \( H_{2} S O_{4} \) B. \( H C l \) and \( H N O_{3} \) c. \( H C l \) and \( H B r \) D. HCl and \( H F \)
1
Chemistry
The IUPAC name of succinic acid is Butane-1,4-dioic acid. If true enter \( 1, \) if false enter 0
1
Chemistry
A box of weight \( 150 k g f \) has gravitational potential energy stored in it equal to \( 14700 J \). Find the height of the box above the ground. (Take \( g= \) \( 9.8 N k g^{-1} \) \( \mathbf{A} \cdot 10 \mathrm{cm} \) B. \( 10 k m \) \( c .1 m \) D. \( 10 m \)
3
Physics
If \( \sin \alpha \sin \beta-\cos \alpha \cos \beta+1=0 \), then show that \( 1+\cot \alpha \tan \beta=0 \)
2
Maths
If \( a^{2}+b^{2}+c^{2}=14, \) then \( a b+b c+c a \) is always greater than or equal to? \( \mathbf{A} \cdot \mathbf{0} \) B. 14 c. -1 D. -
2
Maths
P' wave of ECG occurs before the A. Onset of ventricular contraction. B. End of arterial contraction. C. Beginning of atrial contraction. D. None of the above
0
Biology
Determine the shear stress at the pipe wall A. \( 8 \times 10^{-6} N / m^{2} \) B. \( 3.9 \times 10^{-6} N / m^{2} \) c. \( 2.3 \times 10^{-6} N / m^{2} \) D. \( 10.6 \times 10^{-6} N / m^{2} \)
3
Physics
Solve : \( \boldsymbol{I}=\int \frac{\boldsymbol{x}+\mathbf{9}}{\boldsymbol{x}^{2}+\mathbf{5}} \boldsymbol{d} \boldsymbol{x} \)
2
Maths
Which of the following gives a precipitate with moist silver oxide? A \( \cdot C H_{2}=C H-C l \) В \( \cdot C_{6} H_{5} C l \) \( c \) (c) \( D \) \( (d) \)
1
Chemistry
Which of the following is regulated by autonomic nervous system? A. Heart B. Internal organs c. Brain D. External organs
0
Biology
State and derive work energy theorem.
3
Physics
A body of mass m falls freely through a height h from the top of a tower. The velocityjust before touching the ground is \( \sqrt{\frac{3}{2} g h} . \) The air drag is: A \( . m g \) в. \( \frac{m g}{2} \) \( c \cdot \frac{m g}{3} \) D. \( \frac{m g}{4} \)
3
Physics
A thin iron ring with mean diameter \( d=50 \mathrm{cm} \) supports a winding consisting of \( N=800 \) turns carrying current \( \boldsymbol{I}=\mathbf{3 . 0} \boldsymbol{A} . \) The ring has a cross cut of width \( b=2.0 \) mm. Neglecting the scattering of the magnetic flux at the gap edges, and using the plot shown in figure above, find the permeability of iron under these conditions.
3
Physics
Draw Lewis structure for the following molecules. ¡) \( \boldsymbol{S F}_{\mathbf{6}} \) ii) \( C_{2} H_{4} \) iii \( N O_{2} \)
1
Chemistry
Let \( \boldsymbol{A}=\{-\mathbf{7}, \mathbf{5}, \mathbf{2}\} \) and \( \boldsymbol{B}= \) \( \{\sqrt[3]{125}, \sqrt{4}, \sqrt{49}\} \) Are the sets \( A \) and \( B \) equal? Choose the correct option for the above. Justify your answer. A. Yes B. No c. Ambiguous D. Data insufficient
2
Maths
Refraction of light is caused due to the change in the \( _{\text {一一一一一一 }} \) of light in different media. A . speedd B. frequency c. acceleration D. none of the above
3
Physics
The oxide of metal \( R \) can be reduced by the metal \( P \) and metal \( R \) can reduce the oxide of metal \( Q . \) Then the decreasing order of the reactivity of metal \( P, Q \) and \( R \) with oxygen is: A. \( P>Q>R \) в. \( P>R>Q \) c. \( R>P>Q \) D. \( Q>P>R \)
1
Chemistry
Which of the following is not a final product obtained by cross aldol condensation of ethanal and propanal? A. 3-Methyl-but-2-enal B. 2-Methyl-pent-2-enal c. But-2-enal D. Pent-2-enal
1
Chemistry
When ammonium vanadate is heated with oxalic acid solution, a substance \( \mathbf{Z} \) is formed. A sample of Z was treated with \( K M n O_{4} \) solution in hot acidic solution. The resulting liquid was reduced with \( S O_{2}, \) the excess \( S O_{2} \) boiled off and the liquid again titrated with same \( K M n O_{4} . \) The ratio of volumes of \( K M n O_{4} \) used in the two titrations was \( 5: 1 . \) What is the oxidation state of vanadium in substance Z? Given than \( K M n O_{4} \) oxidize all oxidation state of vanadium to vanadium (+5) and \( S O_{2} \) reduces \( V(+5) \) to \( V(+4) \)
1
Chemistry
The least value of \( 9 \sec ^{2} x+16 \operatorname{cosec}^{2} x \) is: A . 25 B. 49 c. 81 D. 64
2
Maths
The distance of geostationary orbit from the Earth is \( 15,000 \mathrm{km} \). This statement is A. True B. False
3
Physics
Which of the following statements does not show correct difference between adsorption and absorption? A. In adsorption, the substance is concentrated only at the surface while in absorption it is uniformly distributed in the bulk B. Adsorption is instantaneous while absorption is a slow process c. A substance can be adsorbed as well as absorbed simultaneously and the process is called sorption. D. Only gases are adsorbed while solids and liquids are absorbed
1
Chemistry
Point \( D \) has coordinates as (3,4,5) Find the coordinates of the point \( \boldsymbol{F} \) \( \mathbf{A} \cdot(0,4,0) \) B. (0,0,4) \( \mathbf{C} \cdot(0,0,5) \) \( \mathbf{D} \cdot(0,5,0) \)
2
Maths
The net heat absorbed by the gas in the path BC
3
Physics
If \( \sin \alpha+\sin \beta=\frac{1}{2} \) and \( \cos \alpha+ \) \( \cos \beta=\frac{\sqrt{3}}{2}, \) then value of \( 3 \alpha+\beta \) is A \( .90^{\circ} \) B . \( 0^{\circ} \) \( c \cdot 120^{\circ} \) D. \( 60^{\circ} \)
2
Maths
Find the mean deviation from the mean of the following data, using the step deviation method: \begin{tabular}{|l|l|} \hline Marks & No. of students \\ \hline \( 0-10 \) & 6 \\ \hline \( 10-20 \) & 5 \\ \hline \( 20-30 \) & 8 \\ \hline \( 30-40 \) & 15 \\ \hline \( 40-50 \) & 7 \\ \hline \( 60-70 \) & 3 \\ \hline \end{tabular}
2
Maths
If \( W_{1}, W_{2} \) and \( W_{3} \) represent the work done in moving a particle from \( \boldsymbol{A} \) to \( \boldsymbol{B} \) along three different paths 1,2 and 3 respectively (as shown) in a gravitational field of point mass \( \boldsymbol{m} \) then find the correct relation between \( W_{1}, W_{2} \) and \( W_{3} \) A \( . W_{1}=W_{2}=W_{3} \) B. \( W_{1}>W_{2}>W_{3} \) \( \mathbf{c} \cdot W_{1}<W_{2}<W_{3} \) D. \( W_{2}>W_{1}>W_{3} \)
3
Physics
A long horizontal metallic rod with length along the east-west direction is falling under gravity. The potentiol difference between its two ends will : A. be zero B. be constant c. increase with time D. decrease with time
3
Physics
toppr Q Type your question densities \( d \) and \( 2 d \) each of height \( H / 2 \) as shown in the figure. The lower density liquid is open to the atmosphere having pressure \( \boldsymbol{P}_{0} \cdot \boldsymbol{A} \) homogeneous solid cylinder of length \( \boldsymbol{L}(\boldsymbol{L}<\boldsymbol{H} / 2), \) cross-sectional area \( \boldsymbol{A} / \mathbf{5} \) is immersed such that it floats with its axis vertical at the liquid-liquid interface with length \( L / 4 \) in the denser liquid. The cylinder is then removed and the original arrangement is restored. A tiny hole of area \( s(s<<A) \) is punched on the vertical side of the container at a height \( h(h<H / 2) . \) As a result of this, liquid starts flowing out of the hole with a range \( x \) on the horizontal surface. The horizontal distance traveled by the liquid, initially, is : \( \mathbf{A} \cdot \sqrt{(3 H+4 h) h} \) B \( \cdot \sqrt{(3 h+4 H) h} \) \( \mathbf{c} \cdot \sqrt{(3 H-4 h) h} \) D. \( \sqrt{(3 H-3 h) h} \)
3
Physics
Diamond is : A. transparent B. translucent c. opaque D. semi-absorbent
3
Physics
Which of the material can be used as a dielectric? This question has multiple correct options A. Ceramics B. Woodd c. copper D. Aluminium
3
Physics
In the above circuit, find out the unknown resistance \( \mathrm{R} \) \( A \cdot 6 \Omega \) B. 8 ? \( c .2 \Omega \) D. \( 4 \Omega \)
3
Physics
Sugar taken in a watch glass was found to be charred by adding a substance ' \( X \) ' (a) What is the substance 'X'? (b) What is the reason for charring of sugar? (c) Which catalyst is used in the industrial preparation of the substance \( X^{\prime} ? \)
1
Chemistry
\( B r O_{3}^{-} \) is oxidised to \( B r O_{4}^{-} \) by \( X e F_{2} \) \( \underset{\boldsymbol{m}_{1}}{\boldsymbol{X} \boldsymbol{F}_{2}}+\underset{\boldsymbol{m}_{2}}{\boldsymbol{B} \boldsymbol{r}} \boldsymbol{O}_{3}^{-}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{B} \boldsymbol{r} \boldsymbol{O}_{4}^{-}+ \) \( \boldsymbol{X} \boldsymbol{e}+\boldsymbol{2} \boldsymbol{H} \boldsymbol{F} \) where, \( \boldsymbol{m}_{1} \) and \( \boldsymbol{m}_{2} \) are the molar masses of \( X e F_{2} \) and \( B r O_{3}^{-}, \) respectively. Ratio of equivalent mass of \( X e F_{2} \) and \( B r O_{3}^{-} \) is A \( \cdot \frac{m_{1}}{m_{2}} \) в. \( \frac{2 m_{1}}{m_{2}} \) c. \( \frac{m_{1}}{2 m_{2}} \) D. \( \frac{m_{1}}{3 m_{2}} \)
1
Chemistry
What will be the emf for the given cell : \( P t\left|H_{2}\left(P_{1}\right)\right| H^{+}(a q)\left|H_{2}\left(P_{2}\right)\right| P t \) \( ^{\text {A } \cdot} \frac{R T}{F} \log \frac{P_{1}}{P_{2}} \) в. \( \frac{R T}{2 F} \log \frac{P_{1}}{P_{2}} \) c. \( \frac{R T}{F} \log \frac{P_{2}}{P_{1}} \) D. noneofthese
1
Chemistry
\( 5 k g \) block rests on horizontal surface. Which of the following option is incorrect? \( \left(\boldsymbol{g}=\mathbf{1} \mathbf{0} \mathbf{m} / \mathbf{s}^{\mathbf{2}}\right) \) This question has multiple correct options A. The normal force on the block equals its weight because of Newton's second law B. The normal force on the block is equal to the weight not because of Newton's third law C. The normal force on the block equals its weight because of Newton's third law D. The normal force on the block is 50 N.
3
Physics
Factorise \( : 12 k y^{2}+8 k y-20 k \)
2
Maths