1. UPSEE PAST PAPERSPHYSICS - UNSOLVED PAPER - 1998

2. SECTION I Straight Objective Type This section contains multiple choice questions numbered 75 . Each question has 4 choices (A), (B), (C)and (D), out of which ONLY ONE is correct. 3. 01 Problem A sharp linear object of length L lies on the axis of a spherical mirror of focal length f at a distance u from the mirror. The image has an axial length, equal to : a. fLu f2f b. Lu f2u f c. Lf2 d. u fL f 4. 02 Problem Two pure inductors each of inductance L are connected in parallel but are well separated from each other, the total inductance is : a. L/4 b. L/2 c. 2L d. L 5. 03 Problem If two bulbs of power 25 W and 100 W respectively each rated 220 V are connected in series with a supply of 440 V, which bulb will be fused ? a. Both of the bulbs b. 100 W bulb c. 25 W bulb d. None of the above 6. 04 Problem Number of electrons put on a spherical shell of radius 0.1m, which produce an electric field of 0.036 N/C just above the surface is : a. 2.4 x 105 b. 2.5 x 105 c. 2.7 x 105 d. 2.6 x 105 7. 05 Problem Three charges + 4q, Q and q are placed in a straight line of length l at pointsl having the distance0, , l respectively. What should be the value of Q in2 order to make the system in equilibrium ? a. 4 q b. - 2q q c.2 d. q4 8. 06 Problem A black body at a high temperature T kalvin radiates energy at the rate of E watt/metre2. When the temperature falls to T/2 kalvin. The radiated energy in (W/m2) will be : a. E/16 b. 2E c. E/4 d. E/2 9. CV =07 Problem For a diatomic gas : a. CV = 5 R 2 b. CP= 5 R 2 c. C P= 2 R 7 d. CV= 2R 7 10. 08 Problem The potential V and current I are given by, V = 5 cos t and I = 2 sin t. The power dissipated in the instrument is : a. 2.5 W b. 5 W c. 10 W d. zero 11. 09 Problem In a induction coil the coefficient of mutual inductance is 4H. If a current of 5A in the primary coil is cut off in the 1/1500 s emf induced in secondary coil will be : a. 30 kV b. 10 kV c. 60 kV d. 15 kV 12. 10 Problem 100 mA current gives full scale deflection in a galvanometer of 2 resistance. The resistance connected with the galvanometer to convert it into a voltmeter of 5 V range, is a. 48 b. 50 c. 52 d. 98 13. 11 Problem If m is the mass and c the velocity of light, the dimensions of mc2 are : a. [MLT-1] b. [ML-3 T-2] c. [M0L2T-2] d. [ML2T-2] 14. 12 Problem The dimensions of voltage in terms of mass (M) length (L), time (T) and ampere (A) are a. [ML2T-2A-2] b. [ML2T3A-1] c. [ML2T-3A1] d. [ML2T-3A-1] 15. 13 Problem A ball of mass m1, makes a head-on elastic collision with a ball mass m2 which is initially at rest. The transfer of kinetic energy to the second ball is maximum when: a. m1< m2 b. m1< >m2 16. 14 Problem the distance traveled by a body falling under gravity in the first, second and third second are in the ratio: a. 1 : 8 : 27 b. 1 : 2 : 3 c. 1 : 4 : 9 d. 1 : 3 : 5 17. 15 Problem A particle is simultaneously acted by two forces equal to 4N and 3N . the net force on the particle is: a. Between 1N and 7N b. 7N c. 5N d. 1N 18. 16 Problem A bullet weighing 10g and moving with a velocity of 300m/s strikes a 5 kg block of ice and drops dead, the block which is situated on a frictionless leveled ice. The speed of the block after collision is: a. 60 cm/s b. 6cm/s c. 0.8 cm/s d. 5cm/s 19. 17 Problem Forces 3N, 4N and 12N act at a point in mutually perpendicular direction. The magnitude of resultant force in Newton is: a. 19 b. 7 c. 13 d. 12 20. 18 Problem In the arrangement shown in the figure, the ends P and Q move downward with the uniform speed u. Pulley A and B in the same horizontal line are fixed. The mass M move upward with velocity a.2u cos b. u cos c. ucos d. 2u cos 21. 19 Problem The range of particle when launched at an angel of 150 with the horizontal is 1.5 km. What is the range of the projectile when launched at an angel of 450 to the horizontal ? a. 0.75 km b. 6.0 km c. 1.5 km d. 3.0 km 22. 20 Problem the range of particle when launched at an angel of 150 with the horizontal is 1.5 km. What is the range of the projectile when launched at an angel of 450 to the horizontal ? a. 0.75 km b. 6.0 km c. 1.5 km d. 3.0 km 23. 21 Problem The amount of work done required to send a body of mass m from the earths surface height of R/2 , where R is the radius of earth is? a. 5mgR3mgR b. 4 c. mgR 3 d. mgR 2 24. 22 Problem Bulk modulus of water is 2 x 109 N/m2. the change in pressure required to increases density of water by 0.01% is : a. 2 x 105 N/m2 b. 2 x 107 N/m2 c. 2 x 106 N/m2 d. 2 x 109 N/m2 25. 23 Problem The time period of a body executing simple harmonic motion is 0.05 s, amplitude of vibration is 4.0 cm. The maximum velocity of the body is: a. 4m/s b. 3.1 m/s c. 1.6 m/s d. 2 m/s 26. 24 Problem when a sound wave of frequency 300Hz passes through a medium, the maximum displacement of the particle is equal to a. m/s b. 30 m/s c. 30 m/s d. 30 cm/s 27. 25 Problem The temperature coefficient of resistance is 0.00125/0C. At s300K, is resistance is At which temperature the resistance of wire will be 2 ? a. 1127 K b. 1400 K c. 1100 K d. 11.54 K 28. 26 Problem A sound wave has frequency 500 Hz and velocity 350 m/s. What is the distance between two particles having phase difference equal to 600 ? a. 23 cm b. 583 cm c. 10 cm d. 11.67 cm 29. 27 Problem An ideal monatomic gas is taken round the cycle ABCDA shown in the PV diagram in the given figure. The work done during the cycle is : a. PV b. 2P V c. P V d. Zero 30. 28 Problem The equivalent resistance between the points X and Y in the following circuit will be : a. R b. R/5 c. R/2 d. R/4 31. 29 Problem If the instantaneous current is given by I 2 cos t A, the rms value of current is : a. Zero b. 2 2 A c. 2 A d. 2 A 32. 30 Problem The current i in the circuit of given figure is : a. 1/5 A b. 1/45 A c. 1/15 A d. 1/10A 33. 31 Problem Two identical thin rings each of radius R metre are coaxially placed at a distance R metre apart. If Q1 and Q-2 coulomb of charges are distributed on them, the work done on moving a charge q from the centre of one ring to that of the other is :q Q1 Q2 2 1 a. 24 0 R b. Zero c. q 2 Q1 Q240 Rq Q1 Q2 2 1 d. 40 R 2 34. 32 Problem A given charge situated at a certain distance from an electric dipole in the end- on position experiences a force F. If the distance of the charge is doubled the forces acting on it is : a. F/8 b. F/4 c. F/2 d. 2F 35. 33 Problem Inside a charged spherical shell the electric potential is : a.q24 0 b. Zero c. 1 q4 0 r2q d.4 0 R where R is radius of sphere. 36. 34 Problem Ice starts forming in a lake with water at 00C, when the atmospheric temperature is 100C. If the time taken for ice of thickness 1 cm to be formed is 7 h, the time taken to change the thickness of ice from 1 cm to 2 cm is : a. More than 14 h b. 14 h c. less than 7 h d. 7 h 37. 35 Problem 70 cal of heat are required to raise the temperature o 2 moles of an ideal gas at constant pressure from 300 c to 350 c. The amount of heat required to raise the temperature of the same gas from the same range 300 C at constant volume is : a. 90 cal b. 70 cal c. 50 cal d. 30 cal 38. 36 Problem A thin rod of length l and mass m is suspended from one of its ends. Its is set into oscillation about a horizontal axis. Its angular speed is high will its centre of mass rise from the lowest position ?2 2 a.l2g 2 2 b. l g2 2 c.l6g2 2 d.l3g 39. 37 Problem A body rolls down on inclined plane without slipping. The fraction of total energy associated with its rotational energy will be : R2 a. K 2 R2 K2 b.K2R2 c. K2R2 d. K2 + R2 40. 38 Problem if a body is rotating in a vertical circle, the minimum speed at the top of the vertical circle will be : a. 2rg b. may have any value c. 3rg d. rg 41. 39 Problem Rocket works on the principle of conservation of : a. Linear momentum b. Angular momentum c. Mass d. Energy 42. 40 Problem A smooth sphere A is moving on a frictionless horizontal surface with angular speed and centre of mass velocity v. It collides elastically and head-on with identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are A and B respectively. Then : a. A B b. A c. B d. A B 43. 41 Problem Initial velocity of particle moving along a straight line is 10 m/s and retardation is 2 m/s2. The distance covered by it in 5th second of its motion is : a. 1 m b. 50 m c. 19 m d. 85 m 44. 42 Problem A rod PQ of length L revolves in a horizontal plane about the axis of XY. The angular velocity of the rod is . If A is the area of cross-section of the rod and be its density, then its kinetic energy is : a.1 AL3 218 1 b.AL3 2241 c. AL322 d. 1 AL32 5 45. 43 Problem An iceberg is floating partly immersed in sea water, the density of sea water is 1.03 g/cm3 and density of ice is 0.92 g/cm3. the fraction of the total volume of the iceberg above the level of sea water is : a. 0.8% b. 34% c. 0.1% d. 11% 46. 44 Problem If the radius of earth were to shrink by 1%, its mass remaining the same, the acceleration due to gravity on earths surface will a. Remain unchanged b. Decreased by 2% c. Increase by 2% d. None of the above 47. 45 Problem A simple pendulum of length l with bob of mass M is oscillating about a vertical line betweens - and + For an angular displacements the bob are T and v respectively. The following relation holds good under the above conditions : mv 2 a. T mg cosl b. T = 3 mg cos c. T = mg cos d. T cos = mg 48. 46 Problem A sphere is suspended by a thread of length l. what minimum horizontal velocity must be given to the sphere, so as to reach the height of suspension ? a. Gl b. (gl ) c. (2gl ) d.l g 49. 47 Problem 1 Quantityhas the dimension as those of 0 0 a. Acceleration b. Velocity c. Time d. Energy 50. 48 Problem The resultant of two equal vectors inclined at some angle is equal to the magnitude of either of the vectors. The angle inclined between the vectors is: a. 1200 b. 900 c. 450 d. 180 51. 49 Problem A dancer comes advancing and sits on a rotating platform. What is conserved ? a. Linear momentum b. Kinetic energy c. Angular momentum d. None of the above 52. 50 Problem Relative density of a metal may be found by hanging a block of a metal with a spring balance and noting the reading which is say 5.00 0.05, N while in water the reading is found 4.00 0.05, then the relative density would be : a. 5.00 5% b. 5.00 6% c. 5.00 0.05% d. 5.00 0.10% 53. 51 Problem A particle moves with a constant speed but in constantly varying direction, then the path of the particle will be : a. Elliptical b. Parabolic c. Circular d. Linear 54. 52 Problem A soda water bottle is rotated in a horizontal circle with its neck towards the centre of the circular path. The gas bubbles will : a. move towards the bottom b. move towards the neck c. not move d. move towards the upper side 55. 53 Problem Mercury thermometer can be used to measure temperature upto : a. 2600 C b. 1000 C c. 3750 C d. 5000 C 56. 54 Problem Two parallel wires carrying current in the same direction attract each other because of : a. Potential difference between them b. Mutual inductance between them c. Electric force between them d. Magnetic force between them 57. 55 Problem When a current is passed through a junction of two dissimilar metals, then evolution or absorption of heat at the junction is known as : a. Joule effect b. See back effect c. Peltier effect d. Thomson effect 58. 56 Problem When cells are arranged in parallel then : a. The current capacity decreases b. The current capacity increases c. The emf increases d. The enf decreases 59. 57 Problem When cells are arranged in parallel then : a. The current capacity decreases b. The current capacity increases c. The emf increases d. The emf decreases 60. 58 Problem The intensity of solar energy per square metre on earths surface is about : a. 1.4 kW/m2 b. 10-4 kW/m2 c. 102 kW/w2 d. 10-1 kW/m2 61. 59 Problem A parallel plate capacitor is charged and battery is then disconnected. If the plates of the parallel plate capacitor are moved farther by means of insulating handles, then : a. The charge on the capacitor increases b. The voltage across the plates increases c. The capacity increases d. The electrostatic energy stored in the capacitor increases 62. 60 Problem When the body has the same temperature as that of surroundings : a. It does not radiate heat b. It radiates the same quantity of heat as it absorbs c. It radiates les quantity of heat as it receives from surroundings d. It radiates more quantity of heat as it receives heat from surroundings 63. 61 Problem An electric current is passed through the nerve of the man, then man : a. Begins to laugh b. Begins to weep c. Is excited d. Becomes insensitive 64. 62 Problem In case of closed pipe, the fundamental frequency fc is given by : a. fc = 4lv b. fc = 2l/v c. fc = 2lv d. fc = v/4l 65. 63 Problem The equation of a transverse wave traveling on a rope is given by y = 10 sin (0.01 x 2.00t) where y and x are in centimeter and t in second. The maximum transverse speed of particle in the rope is about : a. 75 cm/s b. 100 cm/s c. 121 cm/s d. 63 cm/s 66. 64 Problem Oxygen and hydrogen gases are at same temperature and pressure and the oxygen molecule has 16 time the mass of hydrogen molecules. Then ratio of their rms speed is : a. 16 b. 4 c. 1/14 d. 2 67. 65 Problem A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of : a. 9 s b. 7 s c. 5 s d. 3 s 68. 66 Problem If 1 mole of monatomic gas ( = 5/3) is mixed with l mole of a diatomic gas ( = 7/2). The value of of the mixture is : a. 3.07 b. 1.53 c. 1.4 d. 1.5 69. 67 Problem Isothermal elasticity of a gas is equal to : a. 1P b. P1 c. P d. P 70. 68 Problem When an ideal diatomic gas is heated at constant pressure, then fraction of heat energy supplied, Which increases the internal energy of the gas, will be : a. 5/7 b. 3/5 c. 5/3 d. 2/5 71. 69 Problem Two similar wires are stretched, so as to produce 6 beats. On changing tension slightly unchanged, denotes higher and lower tensions in the beginning by T1 and T-2, then which one of the following is correct while making the above changes in tension ? a. T1 was decreased b. T2 was increased c. T1 was increased d. T2 was decreased 72. 70 Problem A 220V, 50 Hz, AC source is connected to an inductance of Hz, Ac source is connected to an inductance of 0.2 H and a resistance of 20 in series. What is the current in the circuit ? a. 3.33 A b. 33. 3 A c. 5 A d. 10 A 73. 71 Problem Kirchhoffs first and second law shows respectively the conservation of : a. Charge and linear momentum b. Mass and energy c. Charge and energy d. Charge and mass 74. 72 Problem Boiling water is changing into steam. At this stage the specific heat of water is : a. < 1 b. infinite c. 1 d. zero 75. 73 Problem In a Millikans oil drop experiment the charge on an oil drop is calculated to be 6.35 x 10-19 C. The number of excess of electrons on the drop is : a. 4 b. 39 c. 6 d. 4.2 76. 74 Problem A piece of fuse wire melts when the current of 15 A flows through it. With this current, If it dissipates 22.5 W, then the resistance of fuse wire will be : a. 0.10 b. 1 c. 10 d. Zero 77. 75 Problem Wavelength of light of frequency 100 Hz is : a. 5 x 106 m b. 4 x 106 m c. 3 x 106 m d. 2 x 106 m 78. FOR SOLUTIONS VISIT WWW.VASISTA.NET