1. UPSEE PAST PAPERSPHYSICS - UNSOLVED PAPER - 1999

2. SECTION I Straight Objective Type This section contains multiple choice questions numbered 100 . Each question has 4 choices (A), (B), (C)and (D), out of which ONLY ONE is correct. 3. 01 Problem A body is moved along a straight line by a machine giving constant power. The distance moved by the body in time t is proportional to: a. t2 b. t2/3 c. t3/4 d. t1/2 4. 02 Problem The velocity of body falling freely under acceleration due to gravity varies a gp hq where h is height fallen by the body. The value of p and q will be: a. 1/2, 1 b. 1, 1 c. 1/2,1/2 d. 1, 1/2 5. 03 Problem An air bubble of radius 10 cm rises with terminal velocity 0.21 cm/s in liquid column. If the density of liquid is 1.47x103kg/m3, then the value of coefficient of viscosity of liquid ignoring the density of air, will be: a. 1.71 x 104poise b. 1.82 x104poise c. 1.78 x104poise d. 1.52 x104poese 6. 04 Problem If the magnitude of vectorsA, B and C are 12, 5, 13 units respectively and then A B C angle between A and B will be a. /2 b. /4 c. d. 00 7. 05 Problem The relative velocity of two parallel layers of water is 8 cm/s. If the perpendicular distance between the layers is 0.1 cm, then velocity gradient will be: a. 80/s b. 60/s c. 50/s d. 40/s 8. 06 Problem A truck is moving in north direction with the velocity of 20 m/s and turns to the west and moves with same speed. The change in its velocity will be: a. 20 2 m/s south west b. 40 m/s south west c. 20 2 m/s north west d. 40 m/s north west 9. CV =07 Problem The total weight of a piece of wood is 6 kg. In the floating state in water its 1/3 part remains inside the water. On this floating piece of wood what maximum weight is to be put such the whole of the piece of wood is to be drowned in the water? a. 15kg b. 14kg c. 10kg d. 12kg 10. 08 Problem t t A body of mass 2 kg moving under a force has relation between displacement x 3 is in and time t as x = t where x is in metre and t is in sec. The work done by 3 the body in first two second will be: a. 1.6 J b. 16 J c. 160 J d. 1600 J 11. 09 Problem A piece of steel floats in mercury, the specific gravity of mercury and steel are 13.6 and 7.8 respectively. For covering the whole piece some water is filled above the mercury. What part of the piece is inside the mercury? a. 0.62 b. 0.47 c. 0.36 d. 0.54 12. 10 Problem The moment of inertia of a ring is 0.40 Kgm2. It is making 2100 rev/min. What torque is required to stop it in 2 s? a. 55 Nm b. 44 Nm c. 33 Nm d. 22 Nm 13. 11 Problem A water film is formed between two straight parallel wires of 10cm length 0.5 am apart. If the distance between wires is increased wires is increased by 1 mm, what will be the work done ? (Surface tension of water=72 dyne/cm) a. 36 erg b. 288 erg c. 144 erg d. 72 erg 14. 12 Problem On light wooden metre scale 3 kg and 5 kg weights are placed in 20 cm and 70 cm sign respectively. What will be the moment of inertia of this system about the axis passing from the 0 cm sign and perpendicular to axis? a. 4.37 kg m2 b. 1.37 kg m2 c. 2.31 kg m2 d. 2.57 kg m2 15. 13 Problem 1m3 water of brought inside the lake upto 200m depth from the surface of the lake. What will be change in the volume when the bulk modulus if elasticity of water is 22000o atmosphere? (Density of water=1x103kg/m3, atmospheric pressure=105N/m3 and g=10m/m2) a. 8.9x10-3m3 b. 7.8x10-3m3 c. 9.1x10-4m3 d. 8.7x10-4m3 16. 14 Problem A satellite where mass is M revolving in a circular orbit of radius r around the earth. Time period of revolution of satellite is : a.r3TGM1 / 4 r3 b. TGM2 / 3r3 c. TGM d. r5TGM 17. 15 Problem What per cent of length of wire increases by applying a stress of 1 kg weigth/mm2 on it? (Y=1x1011N/m2 and 1 kg weight=9.8 newton) a. 0.0067% b. 0.0098% c. 0.0088% d. 0.0078% 18. 16 Problem For any rocket on earth the escape velocity is 11.2 km/2. The value of the escape velocity at the planet where acceleration due to gravity is two times that of the earth, will be : a. 33.6 km/s b. 22.4 km/s c. 11.2 km/s d. 5.6 km/s 19. 17 Problem what should be the velocity of rotation of earth due to rotation about its own axis so that the weight of a person becomes 3/5 of the present weight at the equator. Radius of earths equator is 6400km: a. 8.7 x 10 7 rad / s b. 7.8 x 10 4 rad / s c. 6.7 x 10 4 rad / s d. 7.4 x 10 3 rad / s 20. 18 Problem The spectral series of the hydrogen spectrum that lies in the ultra violet region is : a. Lyman series b. Paschan series c. Pfund series d. Balmer series 21. 19 Problem Which of the following is not transducer? a. Loud speaker b. Amplifier c. Microphone d. All of these 22. 20 Problem A gas is collected over the water at 250 C. the total pressure of moist gas was 735 mm or mercury. If the aqueous vapor pressure at 250c is 23.8 mm. Then , the pressure of dry gas is : a. 760 mm b. 758.8 mm c. 710.8 mm d. 711.2 mm 23. 21 Problem At which temperature the speed of sound in hydrogen will be same as that of speed of sound in oxygen at 1000 C ? a. -249.70 C b. -317. 50 C c. -212. 50 C d. -1480 C 24. 22 Problem The ratio of amount of heat necessary to heat a known mass of water from 00C to 500C and convert the same mass of ice into steam, will be : a. 572 b. 16311 c.8 d. 58 25. 23 Problem which one of the following is not made of soft iron ? a. Magnet of loud speaker b. Core of dynamo c. Core of transformer d. Electromagnet 26. 24 Problem Helium gas is filled in a closed vessel (having negligible thermal expansion coefficient). When it is heated from 300 K to 600 K, then average kinetic energy of helium atom will be : a.2 times b. 2 times c. un changed d. half 27. 25 Problem what temperature is the same on Celsius scale as well as on Fahrenheit scale ? a. -2120 C b. -400 C c. -320 C d. 320 C 28. 26 Problem How much work is be done in decreasing the volume of an ideal gas by an amount of 2.4 x 10-4 m3 at normal temperature and constant normal pressure of 1 x 105 N/m2? a. 28 J b. 27 J c. 25 J d. 24 J 29. 27 Problem 100g of ice at 00C is mixed with 100g of water at 200C the temperature of mixture will be a. 00 C b. -100 C c. -200 C d. -300 C 30. 28 Problem The temperature of a piece of metal is increased from 270 C and 840 C. the rate of radiated energy emitted from the metal will increases approximately: a. 16 times b. 8 times c. 4 times d. 2 times 31. 29 Problem 125 ml of gas A at 0.06 atmosphere and d150 ml of gas B at 0.80 atmosphere pressure at same temperature are filled in a vessel of 1 L volume. What will be the total pressure of mixture at the same temperature ? a. 0. 140 atmosphere b. 0. 120 atmosphere c. 0. 195 atmosphere d. 0. 212 atmosphere 32. 30 Problem Adiabatic modulus of elasticity of a gas is 2.1 x 105 N/m2. what will be itsCp isothermal modul8us of elasticity 1.4 ?Cv a. 1.8 x 105 N/m2 b. 1.5 x 105 N/m2 c. 1.4 x 105 N/m2 d. 1.2 x 105 N/m2 33. 31 Problem The volume of an ideal gas is k1 L and its pressure is equal is equal to 72 cm of mercury column. The volume of gas is made 900 cm3 by compressing it isothermally. The stress of the gas will be: a. 2.33 x 10-5/0C b. 6.0 x 10-5/0C c. 4.0 x 10-5/0C d. 2.0 x 10-5/0C 34. 32 Problem The length of a metallic rod is 5 m at 00C and becomes 5.01 m, on heating up to 1000C . The linear expansion of the metal will be : a. 2.33 x 10-5 / 0 C b. 6.0 x 10-5 / 0 C c. 4.0 x 10-5 / 0 C d. 2.0 x 10-5 / 0 C 35. 33 Problem A stretched wire 60 cm long is vibrating with its fundamental frequency of 256 Hz. If the length of the wire is decreased to 15 cm and the fundamental frequency of the vibration of the wire will be: a. 1024 Hz b. 572 Hz c. 256 Hz d. 64 Hz 36. 34 Problem a cubical body (side 0.1 m and mass 0.002 kg ) is floating in water. It is pressed and released vibration will be : a. 0.028 s b. 0.897 s c. 0.026 s d. 0.025 s 37. 35 Problem The wavelength of two waves are 50cm and 51cm respectively. If the temperature of the room is 200C then what will the number of beats products per second by these waves, when the speed of sound at 00C is 332 m/s ? a. 24 b. 14 c. 10 d. none of these 38. 36 Problem A sonometer wire stretched with 64 N is vibrating in its fundamental mode and in resonance with a vibrating tuning fork. Length of the vibrated part of sonometer wire is 10 cm and the mass is 10-1 kg. Vibrating tuning fork is brought far away from vibrating wire with a constant speed and an observer standing near the sonometer hears one beat per second. If the speed of sound in air is 300m/s then the speed of tuning fork will be : a. 0.75 m/s b. 0.67 m/s c. 0.60 m/s d. 0.25 m/s 39. 37 Problem A simple pendulum is hanging from a peg inserted in a vertical wall. Its bob is stretched in horizontal position from the wall and is left free to move. the bob 2 hits on the wall, the coefficient of restitution is . After how many collisions 5 the amplitude of vibration will become less than 600? a. 6 b. 3 c. 5 d. 4 40. 38 Problem A tuning fork of frequency 340 Hz is vibrating just above the tube of 120 cm height, water is poured slowly in the tube then what is the minimum height of water necessary for the resonance? (Speed of sound in air is 340 m/s) a. 45 cm b. 30 cm c. 25 cm d. 75 cm 41. 39 Problem 26 tuning forks are placed in a series such that each tuning fork produces 4 beats with its previous tuning fork. If the frequency of last tuning fork be three times the frequency of first tuning fork then the frequency of first tuning fork will be : a. 76 Hz b. 75 Hz c. 50 Hz d. 25 Hz 42. 40 Problem The equation of wave moving in a string may be written as Y=3cos (100-t) Its wavelength will be : a. 5 cm b. 2 cm c. 3 cm d. 100 cm 43. 41 Problem The speed of a wave is 360m/s and frequency is 500 Hz. Phase difference between two consecutive particles is 600, then path different between them will be: a. 0.72 cm b. 120 cm c. 12 cm d. 72 cm 44. 42 Problem In an alternating current circuit in which an inductance , a resistance and capacitance are joined in series, current is found to be maximum when the value of inductance is o.5 H and the value of capacitance is the resonance frequency of applied alternating voltage will be: a. 5000 rad /s b. 4000 rad /s c. 2 x 105 rad /s d. 500 rad /s 45. 43 Problem Five resistance are combined according to figure, the equivalent resistance between A and B will be; a. 50 b. 20 c. 22 d. 10 46. 44 Problem The current I passed in any instrument in alternating current circuit is I = 2 SIN wt amp and potential difference applied is V = 5 coswt volt then power loss in instrument is : a. 2.5 W b. 5 W c. 10 W d. zero 47. 45 Problem The powers of two electric bulbs are 100W and 200W. Both of them are joined with 220V. The ratio of resistance of their filaments will be: a. 4 : 1 b. 1 :4 c. 1 : 2 d. 2 : 1 48. 46 Problem In an induction coil the current increases from 0 to 6 A in 3 s by which induced emf of 30 V is produced in it then the value of coefficient of self-inductance of coil will be; a. 3H b. 2H c. 1H d. 1.5H 49. 47 Problem In a building there are 15 bulls of 40 W, 5 bulls of 100 W, 5 bulls of 80 W and a heater of 1 KW. The voltage of electric mains is 220 V. The minimum efficiency of the main fuse of the building will be: a. 10.6A b. 9.8A c. 0.4A d. 11.4 50. 48 Problem In a magnetic field with the value of induction as 0.9Wb/m2 a simple wire conductor 0.4m long is moving with the velocity of 7 m/s. The value of maximum induced electromotive force will be: a. 3V b. 2.52V c. 2V d. 1V 51. 49 Problem A centigrade and Fahrenheit thermometers are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer register a temperature of 140 0 The fall of temperature as registered by the Centigrade thermometer is : a. 800 C b. 400 C c. 500 C d. 900 C 52. 50 Problem A compass needle whose magnetic moment is 60 Am2 , is directed towards geographical north at any place experiencing moment of force of 1.2 x 10-3 Nm. At that place the horizontal component of earths field is 40 micro Mb/m2 what is the value of declination at that place? a. 300 b. 600 c. 450 d. 150 53. 51 Problem The resistance of 200 W and 100W bulbs of same voltage are R1 and R2 respectively then: a. R2=4R1 b. R1=4R2 c. R2=2R1 d. R2=2R1 54. 10-7 52 ProblemA particle carrying charge 100 times the charge of an electron is revolving at 1rev/s in a circular path of radius 0.8 m. The magnetic developed at the centeris :a. 10-60b. 10-17 0c.0 7d. 10 0 55. 53 Problem The specific resistance of manganin is 50 x 10-6 m. The resistance of a cube of manganin having length 50 cm will be:. a. 5 x 10-4 b. 10-5 c. 2.5 x 10-5 d. 10-4 56. 55 Problem Eight droplets of mercury having same charge and same radius get mixed to from a big drop. The capacity of big drop in comparison to small droplet is: a. Sixteen times b. Eight times c. Four times d. Two times 57. 56 Problem The resistance of a wire at 200C is 20 and at 5000C is 60 . At which temperature its resistance will be 25? a. 80 0C b. 700 C c. 600 d. 500 58. 57 Problem The 1000 small droplets of water each of radius r and charge q, make a big drop of spherical shape. The potential of big drop is how many times the potential of one small droplet? a. 1 b. 10 c. 100 d. 1000 59. 58 Problem A charge e is distributed over two concentric hollow sphere of radii Rand r (R>r) such that their surface charge densities are equal. The potential at their common centre will be: a. Q R r2 0 r 2 R2 QR r b.4 0 r 2 R2QR r c.2 0 R2 r2 d.Q R r4 0 R2 r2 60. 59 Problem How much heat is developed in 210 W electric bulb in 5 min? (Chemical equivalent of heat =4.2J/C) a. 30000 cal b. 22500cal c. 15000cal d. 7500cal 61. 60 Problem At what temperature will be resistance of a copper wire becomes three times its value at 0oC? a. 5000 C b. 3000C c. 4500C d. 4000C 62. 61 Problem in Youngs double slit experiment, if we make the distance half between the slits and make the distance double between the screen and slit, then the fringe width: a. Will be four times b. Will be doubled c. Will be the same d. Will be half 63. 62 Problem A lamp is hanging at the height of 4 m over a table. Its height is decreased by 1 m. By how much percentage the illumination will increase at the table? a. 78% b. 75% c. 67% d. 72% 64. 63 Problem In double slit experiment the angular width of interference fringes is 0.200 for sodium light ( =5890 ). For what value of wavelength, the width of slit be more than 0.220? a. 5875 b. 7845 c. 6581 d. 6479 65. 64 Problem Total solid angel at any point is 4. The luminous intensity of a source is 40 Cd in angel, 30 Cd in 2 angel and zero in rest of angle. Luminous flux in total solid angle will be : a. 314 lumen b. 325 lumen c. 319 lumen d. 215 lumen 66. 65 Problem A light ray falls at angle of incidence i from denser medium to rarer medium, reflected and refracted rays make an angle 900 mutually with each other. The angle of reflection and refraction are r and r respectively. Then the critical angle is ; a. tan1 (sin i) b. sin1 (tan i) c. sin1 (tan r) d. sin1 (tan r) 67. 66 Problem On focusing sun rays by a lens of 5 cm diameter on a piece of ice L = 80 kcal/kg, 10 g of ice melts in 10 min. The amount of heat obtained from the sun per minute on unit are will be : a. 5 cal b. 4 cal c. 2 cal d. 3 cal 68. 67 Problem The angle of polarization for any medium is 600. The critical angle for this is : a. cos 1 3 b. sin 1 3 c. tan 1 3 d. sin 1 13 69. 68 Problem A lens is formed by pressing mutually plane surfaces of two similar plano convex lenses of focal length 40 cm. For forming an image of same size, real and inverted one, the object is to be kept for the lens at distance equal to : a. 160 cm b. 20 cm c. 80 cm d. 40 cm 70. 69 Problem A man wants to see two poles, separately situated at 11 km. The minimum distance (approximately) between these poles will be : a. 5 m b. 0.5 m c. 1 m d. 3 m 71. 70 Problem If a thin prism of glass is dipped in water then minimum deviation (with 34 respect to air) of light produced by prism willn w g , a nw : 23 a. 1/5 b. 1/3 c. 1/2 d. 1/4 72. 71 Problem Magnifying power of objective of a compound microscope is 8. If the magnifying power of microscope is 32 then magnifying power of eye piece is : a. 7 b. 5 c. 4 d. 3 73. 72 Problem The refractive index for the light of violet and red colour or any material are 1.66 and 1.64 respectively. If the angle of prism made of this material is 100, then angular dispersion is : a. 10 b. 0.400 c. 0.100 d. 0.200 74. 73 Problem3 4 Absolute refractive indices of glass and water are and . The ratio of velocity2 3 of light in glass and water is : a. 8 : 9 b. 3 : 4 c. 8 : 7 d. 4 : 3 75. 74 Problem The ratio of thickness of plates of two transparent medium A and B is 6 : 4. If light takes equal time in passing through them, then refractive index of B with respect to A will be : a. 1.33 b. 1.75 c. 1.4 d. 1.5 76. 75 Problem The distance traveled by light in glass (refractive index 1.5) in a nano second will be a. 20 cm b. 30 cm c. 45 cm d. 40 cm 77. 76 Problem When a beam of accelerated electrons collides with a target then continuous spectrum of X-rays is emitted. Which wave length will be absent in spectrum of X-ray emitted from X-ray tube operated at 40 kV ? a. 1 b. 0.25 c. 0.5 d. 1.5 78. 77 Problem In a Rutherford experiment the number of particles scattered at 900 angle are 28 per minute then number of scattered particles at an angle 600 and 1200 will be : a. 177 per minute, 25 per minute b. 50 per minute, 5 per minute c. 100 per minute, 200 per minute d. 112 per minute, 12.4 per minute 79. 78 Problem How many kV potential is to be applied on X-ray tube so that minimum Wavelength of emitted X-rays may be 1 ? a. 10.78 kV b. 11.98 kV c. 12.84 kV d. 12.4 kV 80. 79 Problem Eye detects by the green light ( = 5000 ) 5 x 104 photones/m2/s and the ear detects 10-13 W/m2. In form of power detector the eat is sensitive in comparison to eye by : a. 5 times b. 4 times c. 3 times d. 2 times 81. 80 Problem Energy of an electron in an excited hydrogen atom is - 3.4 eV. Its angular momentum will be : a. 3.72 x 10-34 Js b. 2.10 x 10-34 Js c. 1.51 x 10-34 Js d. 4.20 x 10-34 Js 82. 81 Problem The work function of any metal is 4 eV. For emitting photoelectrons of zero velocity from the surface of this metal, the wavelength of incident light required must be : a. 3100 b. 5900 c. 1700 d. 2700 83. 82 Problem In an electron gun, the potential difference between the filament and plate is 3000 V. What will be the velocity of electron emitting from the gun ? a. 3 x 108 m/s b. 3. 18 x 1010 m/s c. 3.52 x 107 m/s d. 3.25 x 107 m/s 84. 83 Problem The work function of photoelectric substances 3.3 eV. The value of threshold frequency will be : a. 4 x 1011 Hz b. 8 x 1010 Hz c. 5 x 1033 Hz d. 8 x 1014 Hz 85. 84 Problem The kinetic energy of electron (in electron will moving with a velocity of 4 x 106 m/s) will be : a. neutron holocaust b. thermo nuclear reaction c. neutron reproduction factor d. none of the above 86. 85 Problem The large scale destruction, that would be caused due to use of nuclear weapons is known s : a. Neutron holocaust b. Thermo nuclear reaction c. Neutron reproduction factor d. None of the above 87. 86 Problem If elements with principal quantum n > 4 were not found in nature, possible number of elements would have been : a. 4 b. 16 c. 32 d. 60 88. 87 Problem Rn decays into Po by emitting an -particle with half-life of 4 days. A sample contains 6.4 x 1010 atoms of Rn left in the sample will be : a. 0.8 x 1010 b. 2.1 x 1010 c. 3.2 x 1010 d. 0.53 x 1010 89. 88 Problem The slope of frequency of incident light and stopping potential for a given surface will be : a. e b. eh c. h d. h/e 90. 89 Problem Two radioactive materials X1 and X2 have decay constants 10 and respectively. If initially they have the same number of nuclei then the ratio of number of nuclei of X1 to that of X2 will be 1/e after time : a.1 9 b.1110 c.110 d. 1111 91. 90 Problem The ratio of maximum to minimum wave length in Balmer series is : a. 3 : 4 b. 1 : 4 c. 5 : 36 d. 9 : 5 92. 91 Problem In a full wave rectifier circuit operating from 50 Hz mains frequency. The fundamental frequency in the ripple would be : a. 100 Hz b. 250 Hz c. 25 Hz d. 50 Hz 93. 92 Problem In the given figure, the charge on 3 F capacitor a. 10 C b. 15 C c. 30 C d. 5 C 94. 93 Problem Number of electrons in 1 mC charge will : a. 1. 8 x 10-16 b. 1.6 x 1016 c. 6.25 x 1015 d. 6. 25 x 1017 95. 94 Problem the impedance in a circuit containing a resistance of 1 and an inductance of 1 H in series, for AC of 50 Hz, is : a. 100 b. 10 10 c. 100 10 d. 10 96. 95 Problem A stretched string is vibrating according to the equation Where y and x are in cm t in second, then the distance between two consecutive nodes on the string is: a. 2 cm b. 3 cm c. 4 cm d. 5 cm 97. 96 Problem When a temperature of a gas, filled in a closed vessel is increased by 1k. Its pressure increases by 0.4% the initial temperature of gas was: a. 25 K b. 250 K c. 250C d. 2500C 98. 97 Problem The temperature of two bodies A and B are respectively 7270 and 3270 the ratio of the rates of heat radiated (HA : HB) By them, is: a. 625:81 b. 25:9 c. 5:3 d. 727:372 99. 98 Problem The work done in increasing the size of a soap film from 10cm x 6cm to c10cm x 11 cm is 3 x 10-4J. the surface tension o f the film is: a. 11 x 10-2 N/m b. 6 x 10-2 N/m c. 3 x 10-2 N/m d. 1.5 x 10-2 N/m 100. 99 Problem a body of mass 5 kg is moving with a momentum of 10kgm/s. a force 0.2N acts on it in the direction of motion of the body for 10s. the increase in its kinetic energy is : a. 4.4 J b. 3.8 J c. 3.2 J d. 2.8 J 101. 100 ProblemA body of mass m is moved to a height h equal to the radius of the earth. Theincrease in potential energy is:a. 1 mgR 2b. 1 mgR 4c. mgRd. 2mgR 102. FOR SOLUTIONS VISIT WWW.VASISTA.NET