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4. The volume (V) of a Monoatomic p,, , 2., , 3., , u, , ‘ as varies, with its temperature (1), as shown in the, , graph. The ratio of work done by the pas, 10, , the heat absorbed by it, when 7, . + When j ‘, change from state A to state 5 ie emacs a, , |, , A 8, oO =, o 2 2, ®, OF © @F, , The fundamental frequency i, , i cy in an open org,, 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 af the open, organ pipe is, , (a) 12.5¢m (b)&cm (c} 13.3¢em (d) 16cm, , 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 10°" kg,, Boltzmann’s constant ky = 1.38% 10° JK“), (a) 5.016 10* K {b) 8.326% 10° K, (c) 2.508 10* K {d) 1.254% 10° K, , 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 res, , istor 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 - Gald, , {b) Yellow - Violet - Orange - Silver, , {c) Violet - Yellow - Orange - Silver, , (d) Green - Orange - Violet - Gold, , 6. Asetof ‘n’ equal resistors, of value “R” each,, , are connected in series to a battery of emf, “Band internal resistance ‘R’, The current, drawn is /. Now, the ‘#" resistors are, connected in parallel to the same battery., Then, the current drawn from battery, becomes 10/. The value of ‘n’ is, , (a) 20 (b) 11, , {e) 10 (d) 9, , 7. A battery consists of a variable number ‘71’ of, , identical cells (having internal resistance, ‘s’each) which are connected in series, The, terminals of the battery are short-circuited, and the current / is measured, Which of the, graphs shows the correct relationship, between / and n?, , , , J i, (a) a!, —n o —n, !, !, cn t, (c) id), Qo —n oO aaa

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8. Unpolarised light is incident from air on a, plane surface of a material of refractive index, ‘Ww. Ata particular angle of incidence ‘i', it is, found that the reflected and refracted rays, are perpendicular to each other. Which of, the following options is correct for this, situation?, , (a) i= om'(+), u, {b) Refiected light 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, (a) i= tan-(2), H, , 9. 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 A and D), the separation between the slits needs to be, , changed to, {a) 2.1mm (bo) 19mm, (c) 1.8mm {d) 1.7 mm, , 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 length and large diarneter, (d) small focal fength and small diameter, , 10., , 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 (b) 1:-1, (c) 1:1 (d) 1:-2, , 72. An electron of mass m with a velocity, V= Vol (vp > 0) enters an electric field, , E =—Epl (Eq = constant > 0) at f=0. If Ag is, its de-Broglie wavelength initially,, , then its, , de-Broglie wavelength at time fis, nf, Aol 1+ Se, , (a) ot (o) { i], , io (d) Ap, , (c), ( ‘ “a1, Wo, , , , 13. Fora radioactive material, half-life is, , 10 minutes. If initially there are 600 Humbe,, of nuclei, the time taken (in minutes) for jy,, disintegration of 450 nuclei is, , (a) 30 (0) 10 (c) 20 (¢) 15, , 14, When the light of frequency 2V9 (where, y, j,, , 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 5vp, the, maximum velocity of electrons emitted from, the same plate is v3. The ratio of v, to v, is, , fa 4:1 (bs) 124 (P1220 2s, , 15. In the circuit shown in the figure, the input, voltage V, is 20 V, Vgg =O and Vez =0. The, values of I, 1¢ and B are given by, , 20V, RoZ4ka, . c, vy 'e, 500 kQ, , (a) Ig =20pA, = 5mA, B =250, (b) Ig = 251A, = SMA, B = 200, {C) Ip = 40 pA, (, = 10mA, fp = 250, (d) Ip = 40pA, f= 5mA, B = 125, , 16. In ap-n junction diode, change in, temperature due to heating, (a) does not affect resistance of p-n junction, (0) affects only forward resistance, (c) affects only reverse resistance, (d) affects the overall V-/ characteristics, of pn junction

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a vertical, 22, Anelectron falls from rest throws upward, , distance iin a uniform and “ eran pe, directed electric field E- tee ane he, electric field is NOW reversed, . ar oeed, magnitude the same. A proton a certal, fall from rest in it through the : in,, distance /. The time of fall of t 7 or a, in comparison to the time of fall 0}, , 4 the combination of the following gates, % the ourput ¥ can be written in terms of, inputs Aand Bas, , A, ae, Y, , , , , , , , ) AB+A-8 (0) A-B+A.8 proton is —_, 9 AB (d) ASB (@) 10times greater (0) Stimes g, {c) smaller (d) equ, , 4g. 40 EM wave is Propagating in a medium, with a velocity v= vi. The instantaneous, oscillating electric field of this EM waye is, along +y-axis. Then, the direction of, oscillating magnetic field of EM wave will be, , c en the metal, 23. The electrostatic force between t a, plates of an isolated parallel plate capacitor C, , i is, having a charge Q and area A, /, (a) proportional to the square root of the distance, , along between the plates /, , (a) -ydirection {b) linearly propartional to the distance between the, rection plates, , 4 een {c) independent of the distance between the plates, , 5 —xdirection (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, , 19. The refractive index of the material of a, prism is ¥2 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, , 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, , entering the prism from the other face will, retrace its path (after reflection from the, silvered surface) if its angle of incidence on, , of column length. If the frequency of the, tuning fork is 320 Hz, the velocity of sound, in air at 27°Cis, , the prism is {a) 350 mis (b) 339 m/s, (a) 30° (b) 45° (c) 330 ms (d) 300 m/s, (c) 60° (d) zero, , 25. A pendulum is hung from the roof of a, sufficiently high building and is moving, freely to and fro like a simple harmonic, oscillator. The acceleration of the bob of the, pendulum is 20 m/s* at a distance of 5 m, 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 ‘js lying horizontally on a smooth, inclined plane which makes an angle of 30°, with the horizontal. The rod is not allowed to, , 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 mirfor, the, displacement of the image will be, (a) 30 cm towards the mirror, (0) 36 cm away from the mirror, {c) 30 cm away from the mirror, (4) 36 cm towards the mirror, , 21. The magnetic potential energy stored in a, certain inductor is 25 mJ, when the current, , slide down by flowi, in th , flowing a current through it, = a. pe a Sa when a magnetic field of induction 0.25 T is, 1 inductor is of in = canis acting on it in the vertical direction. The, () eae a 413,89 Current flowing in the rod to keep it stationary 1s, , (2) 14.76A (b) 598A (c) 7.14A (d) 11.32A

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27. Athin diamagnetic rod is placed vertically, tween 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 rod, (b) the magnetic field, (c) the current source, , (d) the induced electric field due to the changing, magnetic field, , 28. An inductor 20 mH, a capacitor 100 uF 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) 0.79W (d) 1.13., , 29, 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 (6) 25a, , (c) 402 = {(d) 5002, , 30. A body initially at rest and sliding along a, , frictionless track from a height 4 (as shown, in the figure) just completes a vertical circle, of diameter AB = D, The height /1 is equal to, , A 8, , A, (a) Zp (0) 0, 3 5, , (e) 50 (9) <0, , 31. Three objects, A: (a solid sphere), B: (a thin, , circular disk) and C : (a circular ring), each, have the same mass M and radius R. They all, spin with the same angular speed w about, their own symmetry axes. The amounts of, rk (1¥) required to bring them to rest,, would satisfy the relation, (a) Wp > Wa? Me a WoW owe, (0) We > Wa >Wa ‘A iC 8, , 32., , 33., , 35., , 36,, /, , A moving block having mass Mm, collides with, another stationary block having mass 4%, The lighter block comes to rest a fler Collising,, When the initial velocity of the lighter blog,”, is v, then the value of coefficient of, restitution (e) will be, , (a) 0.8 (b) 0.25, , (c) 05 (d) 0.4, , Which one of the following statements js, , incorrect?, , (a) Frictional force opposes the relative Motion, , (b) Limiting value of static friction is directly, proportional to normal reaction, , (c) Rolling friction is mailer 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 ms, (c) 2m/s, 4 m/s, , (b) 1 m/s, 3 m/s, (d) 1.5 m/s, 3 mis, , A block of mass m is placed on a smooth, inclined wedge ABC of inclination 6 as shown, in the figure. The wedge, , is given an acceleration m, , a towards the right. The, , relation between a and@ @, for the block to remain, Stationary on the wedge, is, , (a) @=g cos@, , Cc 8, , =, ©) ee 5nd, , {d) a=g tan6, , , , (c) ax —9, cosec 6, , The moment of the force, F = 41 +5j- 6k at, 2,0,—3), about the point @, = 2, -2), is give", by, , (a) -7i - 8] - 4k, , (b) -ai - j- 8k, (c) -8i - 4j-7k, , (a) -7i - 4j- 8k

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ent measured the di, 37.8 — aainiG e = sniatter ofasmall 41. A solid sphere is in rolling motion. In rolling, 0.00! em. The main seule ie re least count motion, a body possesses translational, 0. cading is $ mm kinetic energy (IC,) as well as rotational, , and zero of circular scale division coinei cones ; tio, with 25 divisions above the aetoresie leet It kinetic energy (K,) simultaneously. The ra, , : 2 ; here is, screw gauge has a zero error of ~ . K,:(K, + K,) for the spl ;, the correct diameter of the ball Pa cm, (a) 10:7 () 5:7 (0) 7:10 2:5, , Ap () 0.525 cm 42. A small sphere of radius r falls from rest ina, wane (4) 0.529 om viscous liquid, As a result, heat is produced, due to viscous force, The rate of production, , 36, A solid sphere is rotating freely about its of heat when the sphere attains its terminal, , , , , , , , symmetry axis in free space BSA f, - sphere is increased ion velocity, is proportional to ~, same. Which of the following physical fr ) ° qr (a) ¢, quantities would remain constant for the 43. The power radiated by a black body is P and, sphere? ~~ it radiates maximum energy at wavelength,, {a) Rotational kinetic energy hp, If the temperature of the black body is, (b) Moment of inertia now changed, so that it radiates maximum, (c) Angular velocity 3, (d) Angular momentum energy at wavelength a Xo, the power, 39. The kinetic energies of a planet in an radiated by it becomes mP. The value © nis, elliptical orbit about the Sun, at positions ) 28 4 @3 O ose, A, Band C are K 4, Ky and Ke, respectively. al 3 °, AC is the major axis and SBis perpendicular 44, Two wires are made of the same material and, to AC at the position of the Sun Sas shown have the same volume. The first wire has, in the figure. Then cross-sectional area A and the second wire, (a) Kg< Ka <Keo (0) Ky > Kg > Ke has cross-sectional area 3A. If the length of, (ce) Ky <Kg<Ko (d) Kg >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 times smaller the second wire by the same amount?, and the universal gravitational constant were (a) 4F (b) 6F (c) 9F (d) F, ten times larger in B, magnitude, which of 45. A sample of 0.1 g of water at 100°C and, the following is not A e 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, would decrease 167.1 cc, the change in internal, (0) Walking on the ground would become more sample, is " ae, difficult (a) 42.24, {c) Raindrops will fall faster (c) 104.30 4 ee, , (d) ‘g’ on the Earth will not change