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be, , 1. volume (V) of a monoatomic Bas varies, with its temperature (1), as si i, , : hown in th, graph. The ratio of work done by the on lo, , the heat absorbed by it i, . when it =, change from state A to state B, a “, , 4 i, oO =, 4 2 2, @s ©) 5 ia = (d) 2, , 2. The fundamental frequency in an open organ, pipe is equal to the third harmonic of a, closed organ pipe. If the length of the closed, organ pipe is 20 cm, the length of the open, organ pipe is, , (a) 12.5cm (b)Bcm —{c) 18.3 {a} 16cm, , 3. At what temperature will the rms speed of, oxygen molecules become just sufficient for, escaping from the Earth’s atmosphere?, (Given:, mass of oxygen molecule,, , m =2.76x 107" kg,, Boltzmann’s constant ky =1,38% 10-7 JK"), (a) 5.016 10* K (b) 8.926% 10° K, (c) 2.508 10* K (d) 1.254x 10° K, , 4. The efficiency of an ideal heat engine, working between the freezing point and, boiling point of water, is, , (a) 6.25% (b} 20%, , {c) 26.8% (d) 12.5%, , 5. A carbon resistor of (47 £ 4.7) kQ is to be, , marked with rings of different colours for its, identification, The colour code sequence, , will be, , (a) Yellow - Green - Violet - Gold, , {b) Yellow - Violet - Orange - Silver, , (c) Violet - Yellow - Orange - Silver, , (d) Green - Orange - Violet - Gold, , 6. A set of 97 equal resistors, of value ‘R’ each ,, , are connected in scries lo a battery of emf, “E‘and internal resistance ‘R’. The current, drawn is I. Now, the ‘n’ resistors are, connected in paralle] to the same battery., Then, the current drawn from battery, becomes 10J. The valuc of ‘7” is, , (a) 20 {b) 11, {c) 10 @?, 7. A battery consists of a variable number ‘1’ of, , identical cells (having internal resistance, ‘p'each) which are connected in serics. The, terminals of the battery are short-circuited, and the current J is measured. Which of the, graphs shows the correct relationship, between! and 1?, , , , ' ', t t, @ to}, —n ° —sn, f J, oe t, (c) (dy, ¢ =A o —n

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7 7™aea ourved vaper ZO18, , 8. Unpolarised light is incident from air ona, plane surface of a material of refractive index, ‘iM’. Ata particular angle of incidence ‘f", it is, found that the reflected and refracted rays, are perpendicular to cach other. Which of, the following options is correct for this, situation?, , (a) i= om(2), u, , (b) Reflected tight is polarised with its electric, vector perpendicular to the plane of, incidence, , (c) Reflected light is polarised with its, electric vector parallel to the plane of, incidence, , (diz tar(2, , K, In Young's double slit experiment, the, separation d@ between the slits is 2 mm, the, wavelength A, of the light used is 5896 A and, distance D between the screen and slits is, 100 cm. It is found that the angular width of, the fringes is 0.20°. To increase the fringe, angular width to 0.21° (with same 4 and D), the separation between the slits needs to be, changed to, {a} 2.4mm, (c) 1.8mm, , (0) 1.9mm, (d) 1.7mm ', , 10, An astronomical refracting telescope will, have large angular magnification and high, angular resolution, when it has an objective, lens of, , (a) large focal length and large diameter, , (b) large focal length and small diameter, , (c) small focal langth and large diameter, , (d) small focal length and small diameter, , 11. The ratio of kinetic energy to the total energy, , of an electron in a Bohr orbit of the hydrogen, atom, is, (a) 2:-1, (oe) 1:4, , 12, An electron of mass m with a velocity, V= Voi (Vp > 0) enters an electric field, E =~ Epi (Ey = constant > 0) at f=0. If Ag is, its de-Broglie wavelength initially,, , (b) 1:-1, {d) 1:-2, , then its de-Broglie wavelength at tine fis, , ot, Ib) Agi 1+ —“oe, (a) Apt (b) t “Te |, , (d) Ap, , 13, For a radioactive material, hall-life is, 10 minutes, Lf initially there are 600 number, of nuclei, the time taken (in minutes) for the, disintegration of 450 nuclei is, , (a) 30 (b) 10 (c) 20, , When the light of frequency 2v, (where, vy is, threshold frequency), is incident on a metal, plate, the maximum velocity of electrons, emitted is v,. When the frequency of the, incident radiation is increased to 5vy, the, maximum velocity of electrons emitted from, the same plate is v,, The ratio of v, to v, is, (a) 4:1 (b) 1:4 @ 1:2 (6) 2:1, , In the circuit shown in the figure, the input, voltage V; is 20 V, Vy, =O and V;¢ =0, The, values of Jy, 1¢ and B are given by, , (d) 15, 14,, , 15., , 20V, RoE 4kQ, a Cc, vj ‘a, s00kQ 8, é, , (a) Ip =20pA, =5mA, B =250, (b) fg = 250A, = 5mA, B = 200, (C} Ip = 40 nA, f, = 10mA,p = 250, (d) Ig = 40 pA, |, = SMA, B = 125, , 16. In ap-n junction diode, change in, temperature due to heating, (a) does not affect resistance of Pn junction, (b) affects only forward resistance, (c) affects only reverse resistance, (d) affects the overall V-/ characteristics, of pn junction

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17. In the combination of the following gates, the output ¥ can be written in isi, inputs A and Bas, , A, Be, , , , , , , , {aj A-B+A-8, , ae (bh) A-B+A-8, , (d) A+8, , 18. An EM wave is Propagating in a medium, a velocity v= vi. The instantaneous, oscillating electric field of this E, , 7 M wave is, along +y-axis. Then, the direction of, , oscillating magnetic field of E i, ae EM wave will be, , {a} -y-direction, (b) +z-direction, (c} -2-direction, (d) -x-direction, , 19. The refractive index of the material of a, , prism is V2 and the angle of the prism is 30°., , One of the two refracting surfaces of the, prism is made a mirror inwards, by silver, coating. A beam of monochromatic light, entering the prism from the other face will, retrace its path (after reflection from the, silvered surface) if its angle of incidence on, the prism is, , (a) 30° (b) 45°, , (c) 60° (@) zero, , 20. An object is placed at a distance of 40 cm, from a concave mirror of focal length 15 cm., If the object is displaced through a distance, of 20 cm towards the mirtor, the, displacement of the image will be, {a) 30. cm towards the mirror, (b) 36 cm away from the mirror, (c) 30. cm away from the mirror, (d) 36 cm towards the mirror, , 21. The magnetic potential energy stored in a, certain inductor is 25 mJ, when the current, in the inductor is 60 mA., , This inductor is of inductance, (a) 1.389 H (b) 138.88 H, (c) 0.138H (@) 13.891, , 22. An electron falls from rest through a vertical, , distance fin a uniform and vertically upward, directed electric field . The direction of, electric field is now reversed, keeping its, magnitude the same. A proton is allowed to, fall from rest in it through the same vertical, distance h. The time of fall of the electron,, , in comparison to the time of fall of the, proton is, , {a) 10 limes greater, {c) smaller, , (b) 5 times greater, {d) equal, , 23. The electrostatic force between the metal, , plates of an isolated parallel plate capacitor ¢, , haying a charge Qand area A, is, , (a) proportional to the square root of the distance, betwean the plates, , (b) \inaarly proportional to jhe distance between the, plates, , {c) independent of the distance between the pilates, , (d) inversely proportional to the distance between, the plates, , 24. A tuning fork is used to produce resonance in, , a glass tube. The length of the air column in, this tube can be adjusted by a variable piston., At room temperature of 27°C, two successive, resonances are produced at 20 cm and 73 cm, of column length. If the frequency of the, tuning fork is 320 Hz, the velocity of sound, in air at 27°Cis, {a} 350 mis, , (c) 330 m/s, , (bo) 339 m/s, (qd) 300 m/s, , 25. A pendulum is hung from the roof of a, , sufficiently high building and is moving, frevly to and fro like a simple harmonic, oscillator. The acceleration of the bob of the, pendulum is 20 m/s? at a distance of 5m, from the mean position. The time period of, oscillation is, , (a) 2s (b) xs (c)2ns (d) 1s, , 26, A metallic rod of mass per unit length, , 0.5 kg m” is lying horizontally on a smooth, inclined plane which makes an angle of 30°, with the horizontal, The rod is not allowed to, slide down by flowing a current through it, when a magnetic field of induction 0.25 T is, acting on it in the vertical direction. The, current flowing in the rod to keep it stationary is, (a) 14.76A (b) 598A (c) 714A (0) 11.924

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ee, , 27, A thin diamagnetic rod is placed vertically, , 28., , 28., , 30., , between the poles of an electromagnet., When the current in the electromagnet is, switched on, then the diamagnetic rod is, pushed up, out of the horizontal magnetic, field. Hence, the rod gains gravitational, potential energy. The work required to do, this comes from, , (a) the lattice structure of the material of the rad, (b) the magnetic field, , (c) the current source, , (d) the induced electric field due to the changing, magnetic field, , An inductor 20 mH, a capacitor 100 KF and a, , resistor 50 Q are connected in series across a, source of emf, V = 10 sin 314 ¢. The power, loss in the circuit is, , (a) 2.74W (b) 0.43W (c) O.79W (d) 1139, , Current sensitivity of a moving coil, galvanometer is 5 div/mA and its voltage, sensitivity (angular deflection per unit, voltage applied) is 20 div/V. The resistance of, the galvanometer is, , (a) 2502 (©) 252 (c) 40g, , A body initially at rest and sliding along a, , frictionless track from a height h (as shown, in the figure) just completes a vertical circle, of diameter AB = D. The height jt is equal to, , (d) 500 2, , h B, A, (a) 70 (0) D, 3 5, (c) = (d) ra, , Three objects, A :(a solid sphere), B:(a thin, circular disk) and C : (a circular ring), cach, have the same mass M and radius R. They all, spin with the same angular speed @ about, their own symmetry axes. The amounts of, work (W) required to bring them to rest,, would satisfy the relation, , (a) Wy > Wy >We (b) W, >We > Wo, , (c) Wy > Ws >W, (d) W, >We > Wy, , Sz., , 33., , block having mass 1, collides with, ck i ss 4m., er stationary block having mass ., ares bee comes to rest alter collision,, When the initial velocity of the lighter block, is y, then the valuc of coefficient of, restitution (¢) will be, {a) 0.8 fb) 0.25, {c) 0.5 {d) 0.4 /, Which one of the following statements is, incorrect? :, (a) Frictional force opposes the relative motion, {b) Limiting value of static friction is directly, proportional to normal reaction, {c) Rolling friction is smaller than sliding friction, {d) Coefficient of sliding friction has dimensions of, , length, , A toy car with charge q moves on a, frictionless horizontal plane surface under, the influence of a uniform electric field E, Due to the force gE. its velocity increases, from 0 to 6 m/s in one second duration, At, that instant, the direction of the field is, reversed. The car continues to move for two, more seconds under the influence of this, field. The average velocity and the average, speed of the toy car between 0 to 3 seconds, are respectively, (a) 1 ms, 3.5 m/s, (c) 2m/s, 4 mis, , A moving, , (b) 1 ms, 3 mvs, (d) 1.5 mvs, 3 mis, , A block of mass m is placed on a smooth, inclined wedge ABC of inclination @ as shown, in the figure. The wedge, is given an acceleration, 4 towards the right. The, relation betwcen a and@ a, for the block to remain, , mm, , , , Stationary on the wedge © 8, is, {a) a=gcose (b) a=_9_, o sing, ic) a=, (a an (d) a=g tane, , 36, The moment of the force, F = 41 +5]-6k at, , /, , (2,0,—3), about the point 2,-2,—2), is given, by, , (a) -7i - 8j - 4k, (c) 81 - 4j-7k, , (b) -4i ~ j- 8k, (d) -7i - 4j- 8k

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37.8 avin measured the diameter of a small 47. A solid sphere is in rolling motion. In rolling, steel Dall using a screw gauge of least count motion, a body possesses translational, 0.001 cm. The main scale reading is 5 mm kinetic energy (K,)) as well as rotational, and zero of circular scale division coincides kinetic energy (K,) simultaneously. The ratio, , with 25 divisions above the refe, pense 5 here is, screw gauge has a zero error of aves . Nes a on, , the correct diameter of the ball is fay 10:7 ) 5:7 © 7:10 (a) 2:5, , op CDSS en (b) 0.525 cm 42, A small sphere of radius r falls from rest ina, , (c) 0.821 cm (2) 0.529 cm viscous liquid. As a aaa — a es, , soli i i viscous force. The rate of production, , 38, A solid sphere is rotating freely about its ae when the sphere attains its terminal, , symmetry axis in free space. The radius of velocity, is proportional to, , the sphere is increased keeping its mass rie ib)? oe (d) *, , same. Which of the following physical fa) r tb) ¢, , quantities would remain constant for the 43. The power radiated by a black body is P and, , ey it radiates maximum energy al wavelength,, , (2) Rotational Kinetic energy ‘up. Tf the temperature of the black bady is, , {0} Moment of inertia now changed, so that it radiates maximum, , {c) Angular velocity, , (d) Angular momentum encrgy at wavelength 7 Ao, the power, , 39. The kinetic energies of a planet in an — by it heen oo value a" is, elliptical orbit about the Sun, at positions (a) BI {) 3 {c) 7 (a) 256, A, BandC are K,, Ky and K¢, respectively., , AC is the major axis and SB is perpendicular 44, Two wires are made of the same matcrial and, , to AC at the position of the Sun $ as shown have the same volume. The first wire has, , in the figure, Then cross-sectional area A and the second wire, , (a) Kg<K,<Ke (b) Ky, > Kg > Ky has cross-sectional area 3A. If the length of, (c) Ky < Kg <Ke (dB) Ky >Ky > Ke the first wire is increased by Al on applying a, , force F, how much force is needed to stretch, , 40, If the mass of the Sun, were ten Limes smaller the second wire by the same amount?, , —" and the universal gravitational constant were, 4F, ten times larger in B @) (b) 6F (c) OF (a) F, magnitude, which of 45. A sample of 0.1 g of water at 100°C and, the following is not A normal pressure (1.013 x 10° Nm“) requires, correct?, , 54 cal of heat energy to convert to steam at, , (a) Time period of a simple pendulum on the Earth 100°C. If the volume of the steam produced is, oe ecome 167.1 cc, the change in internal energy of the, (b) ae on the ground would b more sample, is 8Y, I, (c) Raindrops will fall faster (@) 4225 (b) 208.7 J, , {@) 'g’ on the Earth will not change {s) 1043J (d) 84.54