AMU - Physics - 1998


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AMU - Physics - 1998

  2. 2. SECTION – I Single Correct Answer Type  There are five parts in this question. Four choices are given for each part and one of them is correct. Indicate you choice of the correct answer for each part in your answer-book by writing the letter (a), (b), (c) or (d) whichever is appropriate
  3. 3. 01 Problem Imagine a light planet resolving around a very massive star in a circular orbit of radius R with a period of resolution T. If the gravitational force attraction between the planet and the star is proportional to R-5/2 then: a. T2 R3.75 b. T2 R3/2 c. T2 R7/2 d. T2 R3
  4. 4. 02 Problem A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21% the increase in the time period of the pendulum of increased length is: a. 52% b. 30% c. 21% d. 10%
  5. 5. 03 Problem A ball is moving horizontal with speed v strikes the bob of a simple pendulum at rest. The mass of the bob is equal to that of ball. If the collision is elastic, the bob will rise to height is: a. v2 2g v2 b. g v2 c. 4g v2 d. 6g
  6. 6. 04 Problem A cup of tea cools from 800C to 600 in one minute The ambient temperature is 300C. In cooing from 600 to 500C. It will take: a. 80 sec b. 90 sec c. 50 sec d. 60 sec
  7. 7. 05 Problem Two rods of length d1 and d2and coefficient of thermal conductivities K1 and K2 are kept touching each other both have same area of crossection. The equivalent thermal conductivity is: d1 d2 d1 d2 a. K1 K2 b. K1d1 K1d2 d1 d2 c. K1d1 + K2d2 d. K1 + K2
  8. 8. 06 Problem Assume that a piece of bread supplies 200k cal of heat to you. If your weight is 60 kg and efficiency is 40% then how much you can climb up by using this energy? a. 170 m b. 750 m c. 670 m d. 570 m
  9. 9. 07 Problem Equal charges q are placed at the four corners A,B,C,D of a square of length a, the magnitude of the force on the charge at D will be : a. 1 q2 2 2 4 0 a2 1 2 2 q2 b. 2 4 0 a2 4q2 c. 4 0 a2 3q2 d. 4 0 a2
  10. 10. 08 Problem The two fixed changes +4q and +q are at a distance r apart. At what point between these charges +q must be placed to keep in a equilibrium? 2r a. 3 3r b. 2 4r c. 3 3r d. 4
  11. 11. 09 Problem The magnetic flux density B at a distance r from a long straight wire carrying a steady current varies with distance r as shown in : a. b. c. d.
  12. 12. 10 Problem In a Young’s double slit experiment the interference pattrerns is found to have an intensity ratio between bright and dark fringes a 16:9. It implies that the amplitude ratio of the interfering rays is: a. 4:3 b. 16:9 c. 9:1 d. 1:7
  13. 13. 11 Problem The magnifying power of an astronomical telescope for relaxed eye is 8 and length of the telescope is 18 cm. If fo and fe br the focal lengths of the objective and the eyepiece, thus: a. f o=3cm and f e=4cm b. f o=20 and f e=2cm c. f o=12 and f e=6cm d. f o16 and f e=2cm
  14. 14. 12 Problem The material of a permanent magnet should have, a. High coercivity and low retentivity b. Low coercivity and high retentivity c. Low coercivity and high retentivity d. High coercivity and high retentivity
  15. 15. 13 Problem Speed of light in a medium of refractive index 1.4 is (speed of light in vacuum=3x108 m/sec): a. 2.64x108m/sec b. 2.52x108sec c. 3x108m/s d. 2.14x108 m/sec
  16. 16. 14 Problem If we want to produce the electromagnetic waves of wavelength 500 km by mechanical means, the charge should oscillate with a frequency of: a. 187 cycles/speed b. 600 cycles/sec c. 550 cycles/sec d. 575 cycles/sec
  17. 17. 15 Problem Out of Bi210,U235,U238 and Pu239 the fissionable materials are: a. U235,Pu239 b. U238,Pu239 c. U235,Pu238 d. U235,Pu235
  18. 18. 16 Problem The maximum kinetic energy of photoelectrons emitted from a surface when photons of energy 6 eV fall on a is 4 eV. the stopping potential is : a. 10 V b. 6 V c. 2 V d. 4 V
  19. 19. 17 Problem A small solid ball is released in a viscous liquid. The velocity of ball is given by a. Curve D b. Curve C c. Curve B d. Curve A
  20. 20. 18 Problem The displacement time graph of an object is shown in figure. Which part of graph represents accelerated motion : a. CD b. BC c. AB d. OA
  21. 21. 19 Problem A mass of 200 g when suspended from a massless spring extends it by 10 cm. A lump of plasticine of mass 200 g is dropped from rest onto a massless pan from a height of a 40 cm as shown in figure. As a result the pan moves downwards through a maximum distance of : a. 40 cm b. 30 cm c. 20 cm d. 10 cm
  22. 22. 20 Problem An open topped rail road car of mass M has an initial velocity v0 along a straight horizontal frictionless track. It suddenly starts raising at time t = 0. The rain drops fall vertically with velocity u and add a mass m kg/sec of water. The velocity of car after t second will be (assuming that it is not completely filled with water) : u a. v0 m M Mv0 b. M mt Mv0 t c. M ut mut v0 M ut d.
  23. 23. 21 Problem Two bodies of mass moving with equal kinetic energies. The ratio of the magnitude of their respective linear momenta is : a. 9 : 7 b. 9 : 1 c. 1 : 6 d. 1 : 3
  24. 24. 22 Problem A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration as it varying with time to as ac = k2rt2, where k is constant. The power delivered to a prticle by the forces acting on it is a. Zero 1 b. 3 mk4r2t5 c. 2 mk4r2t5 d. mk2r2t
  25. 25. 23 Problem A whistle of frequency 500 Hz tied to the end of spring of length 1.2 m revolves at 400 rev./minute. A listener standing some distance away in the plane of rotation of whistle, hears frequency in the range (speed of second = 34 m/s) : a. 436 to 486 b. 426 to 584 c. 436 to 586 d. 426 to 586
  26. 26. 24 Problem the maximum electric field that can be held in air without producing Q ionization of air is 107 V/m. The maximum potential therefore, to which a conducting sphere of radius 0.10 m can be charged in air is : a. 109 V b. 018 V c. 107 V d. 106 V
  27. 27. 25 Problem In the fig given below, find the resistance between parts A and B. both the circles and the diameter are made of uniform wire of resistance r ohm per metre. The length AB is 2 metre : a. 0.88 r b. 14.56 r 2r c. 3 d. 2 r
  28. 28. 26 Problem In the circuit the cells E1 and E2 have emf 48 and 8 V and internal resistances 0.5 and 1.0 respectively. Then the potential difference across cells E1 and E2 will be : a. 4.25 V, 4.25 V b. 3.75 V, 3.75 V c. 4.25 V, 7.5 V d. 3.75 V, 7.5 V
  29. 29. 27 Problem In producing chlorine through electrolysis 100 kW power at 125 V is being consumed. How much chlorine per minute is liberated ? (E.C.E of chlorine = 0.36 x 10-6 kg/C) a. 37 x 10-3 kg b. 7.61 x 10-3 kg c. 27.61 x 10-3 kg d. 17.61 x 10-3 kg
  30. 30. 28 Problem How much energy will approximately be released if all the atom of 1 kg of deuterium could undergo fusion ? Assume in the fusion of deuterium 0.1% mass is converted into energy : a. 8 x 1023 MeV b. 6 x 1027 cal c. 9 x 1013 J d. 2 x 107 kWh
  31. 31. 29 Problem A vessel of depth 2d cam is half filled with a liquid of refractive index 1 and the upper half with a liquid of refractive index . The apparent depth of the vessel 2 seen perpendicular is : 1 a. 2d 1 / 2 1 2d b. 1 1 2 1 1 c. d 1 2 d. d 1 2 2
  32. 32. 30 Problem The absolute refractive indices of glass and water are respectively. Then the 3 4 and refractive index of glass with respect to water will be : 2 3 a. 7/6 b. 8/9 c. 9/8 d. 4/3
  33. 33. 31 Problem A wire of magnetic moment M and pole strength m is cut in to four pieces. If one of the part is bent in the form of a semcircle. Its magnetic moment and pole strength, respectively are : a. M m 4 m b. 4 ,m m m c. 4 ,4 M d. 2 m
  34. 34. 32 Problem The truth table of a logic gate is given as a. NOR gate b. AND gate c. NAND gate d. XOR gate
  35. 35. 33 Problem Energy band gap in a semiconductor is of the order of : a. 1 eV b. 0.1eV c. 0.5 eV d. none of these
  36. 36. 34 Problem A p type semiconductor has : a. More protons as compared to electrons b. More protons as compared to electrons c. More holes as compared to electrons d. More electron as compared to holes
  37. 37. 35 Problem Fusion reaction take place at about : a. 3 x 106 K b. 3 x 104 K c. 3 x 103 K d. 3 x 102 K
  38. 38. 36 Problem The unit of 0 ([permeability of free space]) is : a. w b/m2 b. tesla c. Am2 d. Henry/metre
  39. 39. 37 Problem The temperature coefficient of resistance of material of wire which has a resistance of 140 at 1600C and 240 at 4600 C is : a. 0.000384/0C b. 0.000284/0C c. 0.000184/0C d. none of these
  40. 40. 38 Problem An aircraft with a wing span of 20 m flies at a horizontal speed of 360 km/h in a region where the vertical component of the earth field is 5 x 10-5 tesla. The potential difference between the tips of the wing will be : a. 0.30 eV b. 0.20 V c. 0.10 V d. 0.15 V
  41. 41. 39 Problem The magnitude of flux linked with the circuit of resistance 2k varies with t second according to equation = 5t2 – 4t + 12 The induced current in the circuit at t = 0.2 second is : a. 2 A b. 1 A c. 2 mA d. 1 m A
  42. 42. 40 Problem The work done in turning a magnet of magnetic moment M by an angle of 900 from the meridian is n times. The corresponding work done to turn it through an angle of 600 where n is given by : a. 1 b. 1/4 c. 1/2 d. 2
  43. 43. 41 Problem The diver at a depth of 12 cm in water ( = 4/3) sees the sky in a cone of semi vertical angle : a. 900 3 b. sin-1 4 4 c. tan-4 3 4 d. sin-1 3
  44. 44. 42 Problem Angle of prism is A and its one surface is silvered, light rays falling at an angle of incidence 2 a on first surface return back through the same path after suffering reflections at second silvered surface refractive index of the material of the prism will be : a. tan A 1 b. 2 cos A c. 2 sin A d. 2 cos A
  45. 45. 43 Problem A glass tube 1.0 m long is filled with water. The water can be drained out slowly at the bottom of the tube. If a vibrating tuning fork of frequency 500 cycles/sec is brought at the upper end of the tube and the velocity of sound is 330 m/s, then the total number of resonance obtained will be : a. 1 b. 2 c. 3 d. 7
  46. 46. 44 Problem A stone is dropped into a well and its splash is heard at the mouth of the well after an internal of 1.45 second. The depth of the well is (Given that velocity of send in air at room temperature is equal to 332 m/s) : a. 9.9 m b. s 19.9 m c. 29.9 m d. none of these
  47. 47. 45 Problem The velocity of sound in a gas at pressure P and density d is : p a. d p b. d p c. d 2p d. d
  48. 48. 46 Problem Mud houses are colder in summer and warmer in winter becase of : a. clay is a good conductor of heat b. clay is bad conductor of heat as compared of with wood and bricks c. clay is neither good conductor nor bad conductor of heat d. none of these
  49. 49. 47 Problem One gram of water (volume 1 cm3) becomes 1671 cm3 of steam when boiled at a pressure of one atmosphere. The latent heat of vaporization is 540 cal/g. The external work done and increase in internal energy will be (1 atmosphere = 1.013 x 105 N/m2) : a. 40.3 cal, 499.7 cal b. 50.3 cal, 599.7 cal c. 55.3 cal, 540.7 cal d. none of these
  50. 50. 48 Problem The radius of first Bohr’s orbit of electron in hydrogen atom is : (e = 1.6 x 10-19 C, m = 9.1 x 10-31 kg, h = 6.6 x 10-34 Js) a. 0.53 Å b. 5.3 Å c. 0.53 m d. 53 Å
  51. 51. 49 Problem Which one of following series lies in ultra violet region ? a. Balmer series b. Bracket series c. Paschen series d. Lyman series
  52. 52. 50 Problem Bi210 has a half life of 5 days the time taken for seven/eight of a sample to decay is : a. 15 days b. 20 days c. 10 days d. 3.4 days