1. UPSEE PAST PAPERSPHYSICS - UNSOLVED PAPER - 2000

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 Amplification factor of a triode is 20.Its plate resistance is 10 k . Than its mutual conductance is: a. 2 x 10-3 mho b. 500 mho c. 2 x 104 mho d. 2 x 103 mho 4. 02 Problem An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100 Hz, then the fundamental frequency of open pipe is a. 480Hz b. 300Hz c. 240Hz d. 200Hz 5. 03 Problem If the earth is treated as a sphere of radius R and mass M, its angular momentum about the axis f its rotation with period T, is : a. MR3 T b. MR2 T c. 2 MR 2 5T d. 4 MR 2 5T 6. 04 Problem When a horse pulls a wagon, the force that causes the horse to move forward is the force : a. the ground exerts on him b. he exerts on the ground c. the wagon exerts on him d. he exerts on the wagon 7. 05 Problem A body initially at 800 C cools to 64 0 C in5 min and to 52 0 C in 10 min. The temperature of the body after 15 min, will be : a. 42.70C b. 350C c. 470C d. 400C 8. 06 Problem If a shell fired from a cannon, explodes in mid air, then : a. its total kinetic energy increases b. its total momentum increases c. its total momentum decreases d. none of the above 9. CV =07 Problem when U235 is bombarded with one neutron, the fission occurs and the products are three neutrons, 36Kr94 and: a. 14253I b. 13956Ba c. 13958Ce d. 13954Xe 10. 08 Problem t of A particle moves in a circle of radius 25cm at 2rev/s.The acceleration t particle is : a. 22m /s2 b. 4 2m/s2 c. 8 2m/s2 d. 2m/s2 11. 09 Problem The photoelectric effect can be understood on the basic of: a. the principal of superposition b. the electromagnetic theory of light c. the special theory of relativity d. planks quantum theory 12. 10 Problem The self include emf is 4 H in the coil when current in it changes at the rate of 500A/s , is : a. 8 x10-4 V b. 8 x10-3 V c. 200 V d. 500 V 13. 11 Problem The energy equivalent to a kilogram of matter is about: a. 1020 J b. 1017 J c. 1014 J d. 1011 J 14. 12 Problem The temperature at which the speed of sound in air becomes double of its value at 270C. is a. 01230C b. 9270C c. 3270C d. 540 C 15. 13 Problem The index of refraction of diamond is 2.0. the velocity of light in diamond is approximately: a. 1.5 x 1010cm/s b. 2 x 1010cm/s c. 3.0 x 1010cm/s d. 6 x 1010cm/s 16. 14 Problem A particle moves along x-axis in such a way that its co-ordinate(x) varies with time t according to the expression x=(2-5t +) 6t2)m, the initial velocity of the particle is: a. 3 m/s b. 6 m/s c. -3 m/s d. -5 m/s 17. 15 Problem A force of 100 dyne acts on a mass of 5 g for 10s. The velocity produced is : a. 2000 cm/s b. 200 cm./s c. 20 cm/s d. 2 c/s 18. 16 Problem A current of 1 mA flows through a copper wire. How many electrons will pass through a given point in each second: a. 6.25 x 108 b. 6.25 x 1031 c. 6.25 x 1015 d. 6.25 x 1019 19. 17 Problem A hollow sphere of charge does not produce an electric field at any: a. Outer point b. Interior point c. Beyond 2 m d. Beyond 10 m 20. 18 Problem The line on the earths surface joining the point where the field is horizontal, is called: a. Magnetic equator b. Magnetic line c. Magnetic axis d. Magnetic inertia 21. 19 Problem How many wavelength of the Kr89 are there in 1 m? a. 658189. 63 b. 2348123. 73 c. 1650763. 73 d. 1553164. 12 22. 20 Problem A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8 kg Mass is 6 m/s. the kinetic energy of the other mass will be: a. 288 J b. 24 J c. 12 J d. 48 J 23. 21 Problem Venus looks brighter than other stars, due to : a. Atomic fusion takes place on its surface b. It is closer to the earth than other stars c. Its has higher density than other stars d. It is heavies than other stars 24. 22 Problem The equation of wave traveling in a string can be written as y = 3 cos (100t - x), its wavelength is : a. 5 cm b. 2 cm c. 100 cm d. 3 cm 25. 23 Problem How many calories of heat will be produced approximately in a 210 W electric bulb in 5 min ? a. 80000 Cal b. 63000 cal c. 1050 cal d. 15000 cal 26. 24 Problem An adiabatic process occurs at constant : a. Temperature and pressure b. Heat c. Temperature d. Pressure 27. 25 Problem Consider an iceberg floating in sea water. The density of sea water is 1.03 g/cc and that of ice is 0.92g/cc. The fraction of total volume of iceberg above the level of sea water is nearby : a. 1. 8% b. 3% c. 8% d. 11% 28. 26 Problem Two lenses of power + 12 and 2 D are place in contact. The combined focal length of the combination will be : a. 8.33 cm b. 16.6 cm c. 12.5 cm d. 10 cm 29. 27 Problem A stretched string of length l fixed at both ends can sustain stationary wave of wavelength , given by : a. 2ln2l b. n c.l2 2n d. n22l 30. 28 Problem Eight drops of mercury of equal radius and possessing equal charge combine to form a big drop. The capacitance of bigger drop as compared to each small drop is ; a. 16 times b. 8 times c. 4 times d. 2 times 31. 29 Problem Two waves having the intensities in the ratio of 9 : 1 produce interference. The ratio of maximum to the minimum intensity, is equal to : a. 2 : 1 b. 4 : 1 c. 9 : 1 d. 10 : 8 32. 30 Problem Ultraviolet radiation of 6. 2 eV falls on an aluminium of surface (work function 4.2 eV). The kinetic energy of the faster electron emitted is approximately : a. 3.2 x 10-15 J b. 3.2 x 10-17 J c. 3.2 x 10-19 J d. 3.2 x 10-21 J 33. 31 Problem Two heater wires of equal length are first connected in series and then in parallel. The ratio of heat produced in the two cases is : a. 1 : 4 b. 4 : 1 c. 1 : 2 d. 2 : 1 34. 32 Problem A cell of emf E is connected across a resistance R. The potential difference between the terminals of the cell is found to be V volt. Then the internal resistance of the cell must be a. (E - V)R b. E V R V c. 2 E V RE2 E V d.VR 35. 33 Problem Two satellites A and B go round a planet in circular orbit having radii 4R and R, respectively. If the speed of satellite A is 3v, then speed of satellite B is : a. 3v 24v b. 2 c. 6V d.12 V 36. 34 Problem A particle moves in x y plane under the action of force at a given time t is Px = 2 cos t, py = 2 sin t. Then the angel between at a given time t is Px =2 cos t, py = 2 sin t. Then the angle between at a given time t is : a. = 300 b. = 1800 c. = 00 d. = 900 37. 35 Problem A simple harmonic wave having an amplitude A and time period T is represented by the equation y = 5 sin . Then the value of A in metre and T in second are : a. A = 10, T = 2 b. A = 5, T = 1 c. A = 10, T = 1 d. A = 5, T = 2 38. 36 Problem In a room where the temperature is 300C a body cools from 610C to 590C in 4 min. The time (in minutes) taken by the body to cool from 510C to 490C will be : a. 8 b. 5 c. 6 d. 4 39. 37 Problem A tuning fork vibrating with a sonometer having 20 cm wire produces 5 beats/s. The beat frequency does not change, if the length of the wire is changed to 21 cm, the frequency of the tuning fork must be : a. 215 Hz b. 205 Hz c. 210 Hz d. 200 Hz 40. 38 Problem The potential energy of a certain spring when stretched through a distance s is 10 J. The amount of work done in joule that must be done on this spring to stretch, it through an additional distance s, will be : a. 20 b. 10 c. 30 d. 40 41. 39 Problem The reading of a spring balance when a block is suspended from it in air is 60 N. This reading is changed to 40 N when the block is submerged in water. The specific gravity of the block must be therefore : a. 3/2 b. 6 c. 2 d. 3 42. 40 Problem A double convex thin lens made of glass (refractive index = 1.5) has both radii of curvatures of magnitude 20 cm. Incident light rays parallel to the axis of the lens, will converge at a distance L such that : a. L=20/3 b. L = 40 c. L = 20 cm d. L = 10 cm 43. 41 Problem An astronomical telescope has a magnifying power 10, the focal length of the eye-piece is 20 cm. The focal length of the objective is : a. 1/200 cm b. 1/2 cm c. 200 cm d. 2 cm 44. 42 Problem A particle A has a charge q and particle B has charge + 4q with each of them having the mass m. When allowed to fall from rest through same potential difference, the ratio of their speed vA = vB will be : a. 4 : 1 b. 1 : 4 c. 1 : 2 d. 2 : 1 45. 43 Problem When a sound wave of frequency 300 Hz passes through a medium, the maximum displacement of a particle of the medium is 0.1 cm. The maximum velocity of the particle is equal to : a. 60 cm/s b. 30 cm /s c. 60 cm/s d. 30 cm/s 46. 44 Problem When the current in coil changes form 8 A to 2 A in 3 x 10-2 s, the emf induced in the coil is 2 V. the self-inductance of the coil is : a. 10 mH b. 20 mH c. 5 mH d. 1 mH 47. 45 Problem A uniform metal rod of 2 mm2 cross-section is heated from 00C to 200C. The coefficient of the linear expansion of the 20 m rod is 12 x 10-6/0C. If Youngs modulus of elasticity is 1011 N/m2, the energy stored per unit volume of the rod is : a. 1440 J/m3 b. 15760 J/m3 c. 1500 J/m3 d. 2880 J/m2 48. 46 Problem In an electroplating experiment m gram of silver is deposited when 4A of current flows per 2 min. The amount of silver deposited by 6A of a current flowing for 40 s will be : a. 2 m gram b. m/4gram c. m/2 gram d. 4 m gram 49. 47 Problem The temperature of a body on Kelvin scale is found to x K. When it is measured by Fahrenheit thermometer, it is found to be x0 F, then the value of x is ; a. 40 b. 313 c. 574.25 d. 301.25 50. 48 Problem A magnetic needle lying parallel to a magnetic field requires W units of work to turn it through 600. the torque needed to maintain the needle in the position will be : a. 2W b. 3 W c. W d. 3W 51. 49 Problem A double convex thin lens made of refractive index 1.6 has radii of curvature 15 cm each. The focal length of this lens when immersed in a fluid of refractive index 1.63, is : a. 25 cm b. 125 cm c. 250 cm d. -407.5 cm 52. 50 Problem The wavelength of most energetic X-ray emitted when a metal target is bombarded by 40 keV electron, is approximately : a. 0.31 b. 4 c. 10 d. 300 53. 51 Problem Current i is carried in a wire of length L . If the wire is formed into a circular coil, the maximum magnitude of torque in a given field B, will be : a. LiB2 22 b. Li B2 2 c. L iB4L2 iB d. 2 54. 52 Problem A particle of mass m is projected with a velocity v making an angle of 450 with the horizontal. The magnitude of the angular momentum of the particle about the point of projection when the particle is at its maximum height, is ; a. m 2gh3 b. mv 3 2g c. mv 34 2g d. zero 55. 53 Problem Voltmeters V1 and V2 are connected in series across a DC line. V1 reads 80 V and has a resistance of 200 /V and V2 has a total resistance of 32 k . The line voltage is : a. 240 V b. 220 V c. 160 V d. 120 V 56. 54 Problem A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of the pressure reading of 50 cm and 90 cm of mercury at 00C and 1000C respectively. When the pressure reading is 60 cm of mercury, the temperature is : a. 12.50C b. 150C c. 250C d. 400C 57. 55 Problem The counting are observed from a radioactive source at t = 0 s was 1600 count/s and at t = 8 s, it was 100 count/s. The counting radio observed as counts per second at t = 6 s will be : a. 150 b. 200 c. 300 d. 400 58. 56 Problem An atomic power nuclear reactor can deliver 300 MW. The energy released due to fission of each of uranium atom U238 is 170 MeV. The number of uranium atoms fashioned per hour, will be : a. 30 x 1025 b. 4 x 1022 c. 10 x 1020 d. 5 x 1015 59. 57 Problem A wire of density 9 x 10 kg/m3 is stretched between two clamps 1 m apart and is subjected to an extension of 4.9 x 10-4 m. The lowest frequency of transverse vibration in the wire is : (Y = 9 x 1010 N/m2) a. 40 Hz b. 35 Hz c. 30 Hz d. 25 Hz 60. 58 Problem A body executing simple harmonic motion has a maximum acceleration equal to 24 m/s2 and maximum velocity 16 m/s, the amplitude of the simple harmonic motion is : a. 1024 M9 b. 32 M 3 c. 64 M 9 3 d.M32 61. 59 Problem An engineer of a train which is moving at a speed v1, sees a fright train at distance d ahead of him on the same track moving in the same direction with a slower speed v2. He puts on the brakes and gives his train a constant deceleration, then there will be no collision, if :v1 v2 a. d2a b. d 1 2 2 v v2a c. v2 v1d2av1 v2 2 d. d 2a 62. 60 ProblemCP Considering the gases to be ideal, the value of for a gaseous mixtureCV consisting of n1 = 3.0 moles of oxygen will be 2 0.4, 1 1.3 : a. 1.37 b. 1.34 c. 1.55 d. 1.63 63. 61 Problem A forceF 5 3 ij N is applied over a particle which displaces, it from its origin to the point r 2 i j m. Then the work done on the particle is : a. 13 J b. 10 J c. 7 J d. - 7 J 64. 62 Problem Two satellites S1 and S2 are orbiting around a planet of radius R, S1 move just above the surface of planet while S2 is in orbit of radius 4R. The value of the ratio of orbital speed (v0)1 and orbital speed (v0)2 is : a. 4 : 1 b. 2 : 1 c. 1/2 : 1 d. 1/4: 1 65. 63 Problem Which is true for a cyclotron ? a. The final energy achieved is proportional to (radius)4 of the Dees b. The orbiting frequency is one time the AC voltage frequency c. The final energy achieved is proportional to (radius)2 of the Dees d. The orbiting frequency is proportional to (kinetic energy )1/2 66. 64 Problem The half-life of 19K42 is 12.5 h. If the original sample contains 256 g, the amount of 19K42 after 100 h, will be : a. 5.12 g b. 2.56 g c. 2.00 g d. 1.00 g 67. 65 Problem The radius of first orbit of hydrogen atom is 0.053 nm. The radius of third orbit is : a. 0.477 nm b. 0.212 nm c. 0.159 nm d. 0.106 nm 68. 66 Problem A vessel contains 110 g of water. The heat capacity of the vessel is equal to 10 g water. The initial temperature of water in vessel is 100C. if 220 g of hot water at 700C is poured in the vessel, the final temperature neglecting radiation loss, will be : a. 700C b. 800C c. 600C d. 500C 69. 67 Problem A gas with specific heat ratio is compressed suddenly to of its initial 5/3 volume. If the initial pressure is P, then the final pressure is : a. 8 P b. 16 P c. 24 P d. 32 P 70. 68 Problem An electric tea kettle has two heating coils. When first coil of resistance R1 is switched on, the kettle begins to boil tea in 6 min. When second coil of resistance R2 is switched on, the boiling begins in 8 min. The value of R1/R2 is : a. 7/3 b. 3/7 c. 3/4 d. 4/3 71. 69 Problem When a beam of light (= 6000) traveling in air enters a glass medium (= 1.5), the wavelength of light in glass, would be : a. 2000 b. 3000 c. 4000 d. 5000 72. 70 Problem An object is placed at a distance of 20 cm from a convex lens of focal length 10 cm. The image is formed on the other side of the lens at a distance of : a. 10 cm b. 40 cm c. 25 cm d. 20 cm 73. 71 Problem The condition for an achromatic doublet, is : (here, f1 and f2 are the focal lengths of individual lenses) a. f1 f2 12 2 b. 1f1 2f2 0 c. 1 2 0f1 f2f1 1 d. 0f2 2 74. 72 Problem In a straight line motion, the distance covered is proportional to the square root of the time taken. Then, the acceleration of the particle is proportional to : a. v b. v2 c. V3 d. v 75. 73 Problem A sounding body gives 5 beats with source of frequency 100 Hz as well as 110 Hz, then the frequency is : a. 100 Hz b. 105 Hz c. 110 Hz d. 115 Hz 76. 74 Problem The horizontal component of the earths magnetic field is 3.6 x 10-5 T. Where the dip angle is 600, the magnitude of the earths magnetic field is : a. 2.8 x 10-4 T b. 2.1 x 10-4 T c. 7.2 x 10-5 T d. 3.6 x 10-5 T 77. 75 Problem A wavelength 0.60 cm is produced in air and it travels at a speed of 300 m/s. It will be an/a : a. Ultrasonic wave b. Audible wave c. Infrasonic d. None of these 78. 76 Problem A magnet of magnetic moment M is freely suspended in a uniform horizontal magnetic field intensity H. If the magnet is deflected at an angle from the direction of H. The work done is : a. MH sin b. nH c. MH cos d. MH (1 cos ) 79. 77 Problem A 3 m conductor is moving at right angles in a magnetic field intensity of 10-5 T, at the velocity 10-2 m/s. The potential difference across conductor is : a. 3 x 10-3 V b. 0.03 V c. 0.3 V d. 3 V 80. 78 Problem The period of oscillation of freely suspended bar magnet in earths horizontal field H is 4 s. When another magnet is brought near it, the period of oscillation is reduced to 2 s. The magnetic field of second bar magnet is : a. 4 H b. 3 H c. 2 H d. 3 H 81. 79 Problem Three point charges Q1, Q2, Q3 in the order are placed equally spaced along a straight line. Q2 and Q3 are equal in magnitude but opposite in sign. If the net force on Q3 is zero, the value of Q1 is : a. Q1 = 4 (Q3) b. Q = 2 (Q3) c. Q1 = 2 (Q3) d. Q1 = |Q3| 82. 80 Problem The electric field intensity just sufficient to balance the earths gravitational attraction on an electron will be : (given mass and charge of an electron respectively are 9.1 x 10-31 kg and 1.6 x 10-19C) a. -5.6 x 10-11 N/C b. -4.8 x 10-15 N/C c. -1.6 x 10-19 N/C d. -3.2 x 10-19 N/C 83. 81 Problem Two resistors R and 2 R are connected in series in an electric circuit, the thermal energy produced in R and 2R are in the ratio : a. 4 : 1 b. 1 : 4 c. 2 : 1 d. 1 : 2 84. 82 Problem The shortest wavelength of X rays emitted from an X-ray tube operated at 2 x 106 V, is the order of : a. 10-5 b. 10-2 c. 0.15 d. 1 85. 83 Problem The ionic emission of electron is due to : a. Photoelectric effect b. High temperature c. Electromagnetic induction d. Electrostatic field 86. 84 Problem A voltmeter of internal resistance 25 x 106, connected across resistance R, read 100 V. An ammeter connected in series with this arrangement reads 5 A the value of R, is : a. 40 b. 30 c. 20 d. 10 87. 85 Problem First ionization energy of the cesium is 6.24 x 10-19 J/atom. The minimum frequency of light that is required to ionize cesium atom is : (h = 63 x 10-34 J-s) a. 9.0 x 1014 Hz b. 4.13 x 1014 Hz c. 9.42 x 1011 Hz d. 1.02 x 1012 Hz 88. 86 Problem The photon of energy 12.4 eV is completely absorbed by a hydrogen atom, initially in the ground state, so that it is excited. The quantum number of the excited state is : a. n = b. n = 3 c. n = 4 d. n = 1 89. 87 Problem The dimensions of torque are : a. [MLT-2] b. [ML2T2] c. [ML2T-2] d. [M2L2T-2] 90. 88 Problem Sodium light ( 6 x 10-7 m) is used to produce interference pattern. The= observed fringe width is 0.12 mm. The angle between two interfering wave trains is : a. 1 x 10-3 rad b. 1 x 10-2 rad c. 5 x 10-3 rad d. 5 x 10-2 rad 91. 89 Problem Light propagates with speed of 2.2 x 108 m/s and 2.4 x 108 m/s in the media P and Q respectively. The critical angle of incidence for light undergoing reflection from P and Q is a. 1 sin1 11 b. 11 sin1 12 5 c. sin1 11 5 d. sin1 11 92. 90 Problem Two capacitors C1 = 2 F and C2 = 6 Fare connected in series, then connected in parallel to a third capacitor C3 = 4FThis arrangement is then connected to a battery of emf 2v as shown in figure. How much energy is lost by the battery in charging the capacitor ? a. 16/3 x 10-6 J b. 32/3x 10-6 J c. 11 x 10-6 J d. 22 x 10-6 J 93. 91 Problem A proton and an -particle are separately projected in a region where a uniform magnetic field exists. Their initial velocities are perpendicular to the direction of magnetic field. If both the particles move around magnetic field in circles of equal radii, the ratio of momentum of -particle is : a. 4/1 b. 2 c. 1/2 d. 1 94. 92 Problem A resistance of 20 is connected to a source of an alternating potential V = 200 cos (100 t). The time taken by the current to change from its peak value to rms value is : a. 2.5 x 10-3 s b. 25 x 10-3 s c. 0.25 s d. 0.020 s 95. 93 Problem The current flowing in a step-down transformer 220 V to 22 V, having impedance 220 is : a. 0.1 mA b. 1 mA c. 0.1 A d. 1 A 96. 94 Problem The expansion of galaxies is supported by : a. Black hole b. Red shift c. White dwarf d. Neutron star 97. 95 Problem In the given circuit with steady current, the potential drop across the capacitor must be : a. 2V/3 b. V/3 c. 2/2 d. V 98. 96 Problem A charge is placed at the centreof a cube, the flux emitted through its one face is : q a.12 0q b. 6 0 c. q 2 0 q d. 0 99. 97 Problem In the case of forward biasing, there is an increase in : Voltage Current Time Resistance 100. 98 Problem The spectral series of hydrogen which lies entirely in the ultraviolet part is : a. Pfund b. Balmer c. Lyman d. Paschan 101. 99 Problem The kinetic energy of the photoelectrons emitted when light of wavelength 4000 is incident on a metal of work function 2 eV, is approximately : a. 0.5 eV b. 1.1 eV c. 2.5 eV d. 3 eV 102. 100 ProblemOn a rainy day, if there is an oil drop on tar road, coloured rings are seenaround this drop. This is due to :a. Total internal reflection of lightb. Polarizationc. Diffraction patternd. Interference pattern produced due to the oil film 103. FOR SOLUTIONS VISIT WWW.VASISTA.NET