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The respiratory quotient during cellular respiration would depend on A. The nature of enzymes involved B. The nature of the substrate. c. The amount of carbondioxide released. D. The amount of oxygen utilized.
0
Biology
A large tank is filled with water (density \( \rho \), upto height h. Water is coming out from section (4). Fluid pressure at section (3) is: (Given \( : A_{2}=A_{4}=2 A_{3} \) and \( \boldsymbol{A}_{2}, \boldsymbol{A}_{3}, \boldsymbol{A}_{4}<<\boldsymbol{A}_{1} ; \) atmospheric pressure \( =P_{0} . \) Assume water to be nonviscous and incompressible. A. \( P_{0}+\rho g h \) в. \( P_{0}-\rho g h \) \( c \) D. \( P_{0}-3 \rho g h \)
3
Physics
In the adjoining figure, name the following pairs of angles. Equal supplementary angles
2
Maths
In a n-p-n transistor, the collector current is \( 10 \mathrm{mA} \). If \( 10 \% \) of the electrons are lost in the base, then the emitter current is: A . \( 10 \mathrm{mA} \) B. \( 0.9 \mathrm{mA} \) c. \( 0.09 \mathrm{mA} \) D. \( 11.1 \mathrm{m} \)
3
Physics
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{4}-(\boldsymbol{6}-\boldsymbol{x})^{2 / 3} \) in \( [\mathbf{5}, \boldsymbol{7}] \) A. Lagrange's theorem is applicable B. Rolle's theorem is applicable C. Lagrange's theorem is applicable but not the Roll's theorem D. Both theorem are not applicable
2
Maths
Two particles of mass \( m \) each are tied at the ends of a light string of length \( 2 a \) The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance \( a \) from the center \( P \) (as shown in the figure). Now, the mid-point of the string is pulled vertically downwards with a small but constant force \( F \). As a result, the particles move towards each other on the surface. Find the magnitude of acceleration, when the separation between them becomes \( \mathbf{2} \boldsymbol{x} \)
3
Physics
Why red colour is given to signals to be viewed from a distance?
3
Physics
A particle performing periodic motion satisfies the equation: \( \mathbf{A} \cdot f(t)=f(t)+T \) B. \( f(t)=f(t)-T \) c. \( f(t)=f(t+T) \) D. None of the above
3
Physics
Choose the correct match from Column 'B' for Column 'A'.
0
Biology
Identify the substance underlined, in each of the following cases: The electrolyte used for electroplating an article with silver.
1
Chemistry
If there is an error of \( k \% \) in measuring the edge of a cube, then the percent error in estimating its volume is \( A \cdot k \) B. \( 3 k \) \( c \cdot \frac{k}{3} \) D. none of these
2
Maths
When the right ventricle contract the blood goes into A. Aorta B. Brain c. Pulmonary artery D. None
0
Biology
Bleaching of flowers by \( C l_{2} \) is permanent while bleaching by \( S O_{2} \) is temporary. Why?
1
Chemistry
Which is lare false about electronegativity order of the following elements ? This question has multiple correct options A \( . P>s i \) в. \( C>N \) c. \( C>B r \) \( \mathbf{D} \cdot S e>C a \)
1
Chemistry
During electrophoresis of colloidal sol of \( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{3}, \) the colloidal particles A. Move towards anode and cathode both B. Move towards cathode c. Move towards anode D. Do not move
1
Chemistry
What will be the radius of the circle when the cord breaks? A. \( 4.0 m \) в. \( 1.0 m \) \( c .3 .0 m \) D. 2.0m
3
Physics
When the load on a wire is increasing slowly from 2 kg to 4 kg, the elongation increases from \( 0.6 \mathrm{mm} \) to \( 1 \mathrm{mm} \). The work done during this extension of the wire is \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \) B . \( 0.4 \times 10^{-3} \) J c. \( 8 \times 10^{-2} \) j D. \( 10^{-3} \) 」
3
Physics
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}=\boldsymbol{C H}_{2} \frac{\boldsymbol{B r}_{2}}{\Delta} \frac{\boldsymbol{M} \boldsymbol{g}}{\text {Dryether}} \) \( \frac{\boldsymbol{C} \boldsymbol{H}_{3}-\stackrel{\boldsymbol{N}}{\boldsymbol{C}-\boldsymbol{C} \boldsymbol{H}_{3}}}{\boldsymbol{N H}_{4} \boldsymbol{C l}} \quad \frac{\boldsymbol{H}^{+}}{\boldsymbol{\Delta}} \quad(\boldsymbol{M} \boldsymbol{a} \boldsymbol{j} \boldsymbol{o} \boldsymbol{r}) \) product of above reaction is: \( \mathrm{A} \) \( \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{N}-\mathrm{CH}_{3} \) B. \( H_{2} C=C H-C H=C_{C H_{3}}-C H_{3} \) c. \[ H_{2} C=C H-C H_{2}-\underbrace{C}_{\mid}^{O H}-C H_{3} \] D. \( H_{2} C=C H-C H_{2}-C_{\} C H-C H_{2}-O H \)
1
Chemistry
The side of a square field is 120 meters. The cost of preparing a grass lawn is Rs. 35 per square meter. How much will it cost, if the entire field is converted into a lawn? A . \( R s .404000 \) B. \( R s .504000 \) c. \( R s .506000 \) D. Rs.500000
2
Maths
The frequency of oscillation of current in the inductance is A \( \cdot \frac{1}{3 \sqrt{L C}} \) в. \( \frac{1}{6 \pi \sqrt{L C}} \) c. \( \frac{1}{\sqrt{L C}} \) D. \( \frac{1}{3 \pi \sqrt{L C}} \)
3
Physics
Why was there no zero four in the original Mendeleefs Periodic Table?
1
Chemistry
Check the correctness of the relation \( S_{n t h}=u+\frac{a}{2}(2 n-1), \) where \( u \) is initial velocity, \( a \) is acceleration and \( S_{n t h} \) is the distance travelled by the body in \( n t h \) second
3
Physics
In the shown figure a current 2i is flowing in a straight conductor and entering along the diameter of the circular loop of similar conductor through the point A. The current is leaving the loop along another similar semi-infinite conductor parallel to the plane of the loop through the other opposite end D of the diameter.
3
Physics
If \( y=2^{2} 3^{2 x} 5^{-5} 7^{-5} \) then \( \frac{d y}{d x}= \)
2
Maths
Factorise : \( z^{2}-\left(x^{2}-2 x y+y^{2}\right) \)
2
Maths
A certain vector in the xy-plane has an x-component of \( 4 \mathrm{m} \) and a y-component of \( 10 \mathrm{m} . \) It is then rotated in the xy-plane so that its \( x \) -component is doubled Then, its new y-component is (approximately) A. \( 20 \mathrm{m} \) B. 7.2 \( m \) c. \( 5.0 \mathrm{m} \) D. \( 4.5 \mathrm{m} \)
2
Maths
A solid consisting of a right circular cone of height \( 120 \mathrm{cm} \) and radius \( 60 \mathrm{cm} \) standing on a hemisphere of radius \( 60 \mathrm{cm} \) is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, (in \( \left.m^{3}\right) \) if the radius of the cylinder is \( 60 \mathrm{cm} \) and its height is \( 180 \mathrm{cm} ? \)
2
Maths
Fill in the blanks in the following: (a) A person \( 1 \mathrm{m} \) in front of a plane mirror seems to be from his image. (b) If you touch your ear with right hand in front of a plane mirror it will be seen in the mirror that your right ear is touched with (c) The size of the pupil becomes when you see in dim light. (d) Night birds have cones than rods in their eyes.
3
Physics
Find the current through the \( 10 \Omega \) resistor shown in figure: \( \mathbf{A} \cdot 0.5 A \) B. \( 1 A \) \( c \cdot 2 A \) D. \( 5 A \)
3
Physics
Using properties of determinants, prove that \[ \boldsymbol{\omega}\left|\begin{array}{ccc} \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \boldsymbol{x}^{2} & \boldsymbol{y}^{2} & \boldsymbol{z}^{2} \\ \boldsymbol{y}+\boldsymbol{z} & \boldsymbol{z}+\boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y} \end{array}\right|=(\boldsymbol{x}- \] \( \boldsymbol{y})(\boldsymbol{y}-\boldsymbol{z})(\boldsymbol{z}-\boldsymbol{x})(\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}) \)
2
Maths
Which of the following aqueous solutions will exhibit the highest boiling point? A . \( 0.01 M \) urea в. \( 0.01 M \) К \( N O_{3} \) c. \( 0.01 M \) Na\( _{2} \) SO \( _{4} \), D. \( 0.015 M C_{6} H_{12} O_{6} \)
1
Chemistry
Let the discrete random variable \( \boldsymbol{X}=\boldsymbol{x} \) has the probabilities given by \( \frac{x}{6} \) for \( x= \) \( 0,1,2,3, \) then its mean is A \( \cdot \frac{1}{3} \) в. \( \frac{5}{3} \) \( c \cdot \frac{7}{3} \) D. \( \frac{9}{3} \)
2
Maths
Solve: \( \boldsymbol{I}=\int \frac{\boldsymbol{d} \boldsymbol{x}}{(\boldsymbol{x}+\mathbf{1}) \sqrt{\mathbf{1}-\boldsymbol{x}^{2}}} \)
2
Maths
Complete the following food chain with the appropriate component Grass - grasshopper - .......... - snake
0
Biology
The approximate value of quantum number \( n \) for the circular orbit of hydrogen 0.0001 mm diameter is A. 1000 B. 60 c. 10000 D. 31
3
Physics
What is the speed of an electron whose de Broglie wavelength is \( 0.1 n m ? \) By what potential difference, must have such an electron accelerated from an initial speed zero?
1
Chemistry
The distance of a galaxy from Earth is of the order of \( 10^{25} \mathrm{m} \). Calculate the order of magnitude of the time taken by light to reach us from the galaxy.
3
Physics
In a given transformer for a given applied voltage, losses which remain constant irrespective of load changes are A. friction and windage losses B. copper losses c. hysteresis and eddy current losses D. none of the above
3
Physics
A charge \( q \) is released in presence of electric (E) and magnetic field (B) then after some time its velocity is v then:- \( A \cdot V \propto E \) в. \( v \propto \frac{1}{E} \) \( c \cdot V^{2} \propto E \) D. \( V \propto B^{\circ} \)
3
Physics
Two players \( A \) and \( B \) toss a fair coin cyclically in the following order \( A, A, B, A, A, B, \ldots \) till a head shows. Let \( \boldsymbol{\alpha}(\boldsymbol{\beta}) \) denote the probability that \( \boldsymbol{A}(\boldsymbol{B}) \) gets the head first. Then This question has multiple correct options A \( \cdot \alpha=\frac{6}{7} \) в. \( \alpha=\frac{5}{7} \) c. \( _{\beta}=\frac{1}{7} \) D. \( _{\beta}=\frac{2}{7} \)
2
Maths
A cuboid with equal length, breadth and height is called a
2
Maths
In figure (ii) given below, \( \boldsymbol{A B} \| \boldsymbol{D} \boldsymbol{E} \) and \( \boldsymbol{B} \boldsymbol{D} \| \boldsymbol{E} \boldsymbol{F} . \) Prove that \( \boldsymbol{D} \boldsymbol{C}^{2}=\boldsymbol{C} \boldsymbol{F} \times \boldsymbol{A} \boldsymbol{C} \)
2
Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}[\log (\sec \boldsymbol{x}-\tan \boldsymbol{x})] \) is equal to: A . \( -\sec x \) B. \( \sec x+\tan x \) \( c . \sec x \) D. \( \sec x-\tan x \)
2
Maths
(a) Write Faraday's second law of electrolysis (b) Draw labelled diagram of standard Hydrogen electrode
1
Chemistry
The integral of \( \int e^{x}(\sin x+\cos x) d x \) is \( \mathbf{A} \cdot e^{x} \cos x+c \) B \( \cdot e^{x} \sin x+c \) \( \mathbf{c} \cdot e^{x} \sec x+c \) D. none of this
2
Maths
Consider the following frequency distribution: \( \begin{array}{lllll}\text { Class } & 0- & 6- & 12- & 1 \\ & 5 & 11 & 17 & 2\end{array} \) Frequency 13 10 15 The upper limit of the median class is A. 17 в. 17.5 c. 18 D. 18.5
2
Maths
The ultimate source of hydroelectric energy is: A. potential energy of water B. kinetic energy of water c. solar energy D. chemical energy
3
Physics
The molar conductance (in \( \left.\mathbf{\Omega}^{-1} \boldsymbol{c m}^{2} \boldsymbol{m o l}^{-1}\right) \) of \( \boldsymbol{K}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) solution is:
1
Chemistry
Which of the following species has a linear shape? A. \( N O_{2} \) в. \( S O_{2} \) c. \( N O_{2}^{+} \) D. \( O_{2} \)
1
Chemistry
A dust particle has mass equal to \( 10^{-11} g, \) diameter \( 10^{-4} c m \) and velocity \( 10^{-4} \mathrm{cm} / \mathrm{s} . \) The error in measurement of velocity is \( 0.1 \% . \) What will be the uncertainty in its position? A \( \cdot 0.527 \times 10^{10} \mathrm{cm} \) B. \( 5.27 \times 10^{9} \mathrm{cm} \) c. \( 0.527 \times 10^{-15} \mathrm{cm} \) D. \( 0.527 \times 10^{-9} \mathrm{cm} \)
1
Chemistry
Which of the following is capable of delaying yellowing of leaves? A . Gibberellins B. Cytokinins c. АВА D. Auxins
0
Biology
Select the incorrect statement. A. Ribozymes are nucleic acids with catalytic power. B. Nucleic acids serve as genetic material. C. Proteins, nucleic acids and polysaccharides are the only three types of macromolecules found in the living system. D. Collagen is the most abundant protein in the whole of the biosphere and RuBisCo is the most abundant protein in animal world.
0
Biology
Which one of the following is travelling with the fastest speed? A. An athlete running with a speed of \( 10 \mathrm{m} / \mathrm{s} \) B. A bicycle moving with a speed of 200 \( \mathrm{m} / \mathrm{min} \) c. A tortoise covering 100 metres in 15 minutes D. A motorcycle moving with a speed one km/h
3
Physics
A virtual image larger than the object can be produced by a : This question has multiple correct options A. concave lens B. Concave mirror c. Convex mirror D. Convex lens
3
Physics
Blood from the left ventricle is pumped to A. Lungs B. Left auricle c. Right ventricle D. All parts of the body
0
Biology
In each of the following state if the statement is true (T) or false (F): An equilateral triangle is isosceles also. A. True B. False
2
Maths
\( C_{6} H_{6} C I_{6} C_{6} H_{6} C I_{6} \) on treatment with alcoholic KOHKOH yields. \( \mathbf{A}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \) \( \mathbf{B}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{3}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{3}} \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{3}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{3}} \) \( \mathrm{c}:\left(C_{6} H_{6}\right) O H\left(C_{6} H_{6}\right) O H \) \( \mathbf{D}: \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{6}} \boldsymbol{C} \boldsymbol{I}_{\mathbf{4}} \)
1
Chemistry
Arithmetic progression whose nth term is \( 3 n-2 \) is A \( .1,4,7,10 \ldots \) в. \( 1,3,7,9 \ldots \) c. \( 1,2,7,11 \ldots \) D. \( 2,4,6,8 \dots \)
2
Maths
The potential at a point P due to an electric dipole is \( 1.8 \times 10^{5} V . \) If \( P \) is at a distance of \( 50 \mathrm{cm} \) apart from the centre O of the dipole and if CP makes an angle \( 60^{\circ} \) with the positive side of the axial line of the dipole, what is the moment of the dipole? A. \( 10 \mathrm{c}-\mathrm{m} \) B. \( 10^{-3} \mathrm{c}-\mathrm{m} \) \( c \cdot 10^{-4} c-m \) D. \( 10^{-5} \mathrm{c}-\mathrm{m} \)
3
Physics
If the areas of two similar triangles are equal then the triangles: A. are congruent B. have equal length of corresponding sides c. (A) and (B) D. None of these
2
Maths
The number of moles of \( \boldsymbol{K}_{\mathbf{2}} \boldsymbol{C r}_{\mathbf{2}} \boldsymbol{O}_{\mathbf{7}} \) reduced by 3 mol of \( S n^{2+} \) ions is :
1
Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{O}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \) react with hot and excess HI the product formed is: A. \( C H_{3} C H_{2} I \) and \( C H_{3} C H_{2} O H \) в. \( C H_{3} C H_{2} \) ОН c. \( C H_{3} C H_{2} I \) D. None of these
1
Chemistry
Identify the primary cause of global warming. A. Emission of \( C O_{2} \) B. Emission of \( O_{2} \) c. Both a and \( b \) D. None of these
1
Chemistry
When waves of same intensity from two coherent sources reach a point with zero path different the resulting intensity is \( \mathrm{K} \). When the above path difference is \( \lambda / 4 \) the intensity becomes \( A \cdot K \) B. K/2 \( c \cdot k / 4 \) D. K/8
3
Physics
What is the nucleos number of an atom? A. The number of electrons, neutrons and protons in the nucleus B. The number of neutrons and protons in the nucleus C. The number of neutrons in the nucleus D. The number of protons in the nucleus
1
Chemistry
whose hemispherical base is of diameter \( 0.20 \mathrm{m} . \) The height of the flask is \( 0.25 \mathrm{m} \). The flask is filled to the brim with 2.5 litres \( \left(1 \text { litre }=10^{-3} m^{3}\right) \) of water and sealed with a glass lid. What is the approximate magnitude of the total vertical force exerted by the water on the curved surface of the flask? (Take the acceleration due to gravity, \( g, \) to be \( 10 m s^{-2} \) ). \( A \cdot O N \) B. 78.5 c. 53.5 N D. 25.0
3
Physics
At what value of \( \eta \) will the velocity of the disc after the collision be equal to zero? A. \( \eta=4 \) В . \( \eta=5 \) \( \mathbf{c} \cdot \eta=6 \) D. \( \eta=7 \)
3
Physics
Which of the following complex ion has least stability? A \( \cdot\left[\operatorname{Co}\left(N H_{2}\right)_{6}\right]^{2+} \) в. \( \left[\operatorname{Co}(C N)_{6}\right]^{3-} \) c. \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{3} \) D \( \cdot\left[C o(C O)_{6}\right]^{3+} \)
1
Chemistry
Solution of the equation \( \frac{d y}{d x}=1+ \) \( \boldsymbol{x} \boldsymbol{y}+\boldsymbol{x}+\boldsymbol{y} \) is \( \mathbf{A} \cdot(1+y)(1+x)=c \) B \( \cdot \log (1+y)=1+x+c \) \( ^{\mathbf{C}} \cdot \ln |1+y|=x+\frac{x^{2}}{2}+c \) D \( \ln |1+y|+x+\frac{x^{2}}{2}+c=0 \)
2
Maths
Seema can embrodier \( \frac{1}{5} \) of a Kurta in 4 days. How long will it take her to embroder it completely?
2
Maths
In situation \( 2, \) if \( h_{2} \) is further decreased then A. cylinder will not move up an remains at its original position B. for \( h_{2}=h / 3 \) cylinder again starts moving up C. for \( h_{2}=h / 4 \) cylinder again starts moving up D. for \( h_{2}=h / 5 \) cylinder again starts moving up
3
Physics
Prove that: \( \lim _{x \rightarrow \frac{\pi}{2}} \frac{\tan 2 x}{x-\frac{\pi}{2}} \)
2
Maths
If the corresponding angles of two triangles are equal then they are always congruent. The given statement A . Is always true B. Is always false c. can be true D. can be determined
2
Maths
The number of waves made by a Bohr electron in an orbit of maximum magnetic quantum number +2 is: A . 3 B. 4 \( c \cdot 2 \) D.
1
Chemistry
In a certain gas \( \frac{2}{5} \) th of the energy of molecules is associated with the rotation of molecules and the rest of it is associated with the motion of the centre of mass. The average translation energy of one such molecule, when the temperature is \( 27^{\circ} \mathrm{C} \) is given by \( x \times \) \( 10^{-23} J \),then find \( x ? \) A . 62 B. 623 c. 6.21 D. 62.1
3
Physics
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(e^{\log x}\right)= \) \( \mathbf{A} \cdot \mathbf{1} \) в. c. \( x^{2} / 2 \) D. -
2
Maths
Explain why: In the electrolysis of alumina using Hall Heroult's Process the electrolyte is covered with powdered coke.
1
Chemistry
Match the entries in column I with column II
2
Maths
Ammonia gas is formed by the combination of nitrogen and hydrogen. \( N_{2}+3 H_{2} \rightarrow 2 N H \) In the above equation: This question has multiple correct options A. nitrogen and hydrogen are reactants B. one molecule of nitrogen combine with 3 molecule of hydrogen and forms two molecule of ammonia C. one volume of nitrogen and three volume of hydrogen combine and give 2 volume of ammonia gas D. reactants and products are not gases
1
Chemistry
Which statement represents the inverse of the statement "If it is snowing then Skeeter wears a sweater"? A. If Skeeter wears a sweater then it is snowing B. If Skeeter does not wear a sweater then it is not snowing C. If it is not snowing then Skeeter does not wear a sweater D. If it is not snowing then Skeeter wears a sweater
2
Maths
The reaction of \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C O N a} \) with reagent is the most easy. A. \( C_{6} H_{5} B r \) B \( \cdot\left(C H_{3}\right)_{2} C H B r \) \( \mathbf{c} \cdot\left(C H_{3}\right)_{3} C B r \) D. \( C H_{3} C H_{2} B r \)
1
Chemistry
Define one Curie.
3
Physics
A power transmission line feeds input power \( t 2300 \mathrm{V} \) to a step-down transformer with its primary windings having 4000 turns. The output power is delivered at \( 230 \mathrm{V} \) by the transformer. If the current in the primary of the transformer is \( 5 \mathrm{A} \) and its efficiency is \( 90 \%, \) the output current would be : A . 25 A B. 50 A \( c .35 \mathrm{A} \) D. 45 A
3
Physics
All of the following statements are related to the kinetic molecule theory of gases except: A. gas molecules have no inter-molecular forces B. gas particles are in random motion C. the collisions between gas particles are elastic D. gas particles have no volume E. the average kinetic energy is proportional to the celsius temperature of the gas
1
Chemistry
Assertion To overcome electrostatic force of attraction between electrons and nucleus, they revolve around the nucleus. Reason Mass of the atom is almost due to its nucleus. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion. B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion. C. Assertion is correct but Reason is incorrect. D. Assertion is incorrect but Reason is correct.
1
Chemistry
Find the effective resistance of the circuit as shown in the figure. A. 10 ohm B. 5 ohm \( c .15 \) ohm D. 4 ohm
3
Physics
Which fraction shows the part of the circle that is shaded? \( A \cdot 2 \) \( \overline{9} \) B. \( \frac{2}{8} \) \( c \cdot 2 \) 7 D. 2 \( G \)
2
Maths
Which row correctly shows a primary, secondary and a tertiary alcohol? 3 \( r \) )
1
Chemistry
\( f(x)=\frac{3}{2} x+b \) In the function above, \( b \) is a constant. If \( \boldsymbol{f}(\boldsymbol{6})=\mathbf{7}, \) what is the value of \( \boldsymbol{f}(-\mathbf{2}) ? \) A . - B . - - \( c . \) \( D \)
2
Maths
Give two reactions in which transition metals or their compound acts as catalysts.
1
Chemistry
The energy of an electron in the \( 3 s \) orbital (excited state) of H-atom is: A . \( -1.5 e V \) B . \( -13.6 e V \) c. \( -3.4 e V \) D. \( -4.53 e V \) E. \( 4.53 e V \)
1
Chemistry
Rewrite the following statement with "if-then" in five different ways conveying the same meaning. If a natural number is odd then its square is also odd.
2
Maths
Archaeologists often come to different conclusions when studying the earliest fossils due to A. The fact that a few countries limit access to the artifacts B. The fact that the universal process for dating the remains is problematic C. The fact that many fossils are decaying D. The limited amount of archaeological remains E. Fear of upsetting religious communities
3
Physics
Heat will flow from A. Hot body to cold body B. Cold body to hot body C. two bodies at the same temperature D. None of these
3
Physics
Rutherfords alpha particle scattering experiment concluded that: A. mass and energy are related B. electrons occupy space around the nucleus C. neutrons are buried deep in the nucleus D. the point of impact with matter can be precisely determined
1
Chemistry
The conversion of primary aromatic ami nes into diazonium salts is known as A. decarboxylation B. diazotization c. ammonolysis D. none of these
1
Chemistry
As a wave propagates, This question has multiple correct options A. the wave intensity remains constant for a planewave B. the wave intensity decreases as the inverse of the distance from the source for a spherical wave C. the wave intensity decreases as the inverse square of the distance form the source for a spherical wave D. the wave intensity decreases as the inverse of the distance for a line source
3
Physics
Value of universal gravitational constant \( G \) in \( \mathrm{CGS} \) unit is- A \( \cdot 6.67 \times 10^{8} \mathrm{cm}^{3} g^{1} s \) B . \( 6.67 \times 10^{8} \mathrm{cm}^{3} g^{-1} s^{-2} \) c. \( 6.67 \times 10^{9} \mathrm{cm}^{3} g^{1} s^{2} \) D. \( 6.67 \times 10^{7} \mathrm{cm}^{3} g^{-1} s^{2} \)
3
Physics
State whether true or false. \( \frac{2}{7} \) is an irrational number. A. True B. False
2
Maths
If \( f(x) \) and \( g(x) \) are two solutions of the differential equation \( a \frac{\mathrm{d}^{2} \mathbf{y}}{\mathbf{d x}^{2}}+\mathbf{x}^{2} \frac{\mathbf{d y}}{\mathbf{d x}}+ \) \( \mathbf{y}=\mathbf{e}^{\mathbf{X}}, \) then \( f(\boldsymbol{x})-\boldsymbol{g}(\boldsymbol{x}) \) is the solution of A \( \cdot a^{\frac{d^{2} y}{d x^{2}}}+\frac{d y}{d x}+y=e^{x} \) B. \( a^{2} \frac{d^{2} y}{d x^{2}}+y=e^{x} \) \( ^{\mathbf{C}} \cdot \underset{\mathrm{d} \mathrm{x}^{2}}{\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{d} \mathrm{x}}}+\mathrm{x}^{2} \frac{\mathrm{d} \mathrm{y}}{\mathrm{d}}=0 \) D. \( a \frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}+\mathrm{y}=\mathrm{e}^{\mathrm{x}} \)
2
Maths