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

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01 A man of mass 60 kg and a boy of mass 30 kg are standing together on frictionless ice surface. If they push each other apart, man moves away with a speed of 0.4 m/s relative to ice after 5 sec. They will be away from each other at a distance of : 9.0 m 3.0 m 6.0 m 30 m Problem

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02 A ball is thrown vertically upwards. Which of the following graphs represents velocity time graph of ball during its flight ignoring its resistance of air ? a. b. c. d. Problem

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Problem 03 A particle moves along a straight line such that its displacement at any time t is given by s = t 3 – 6t 2 + 3t + 4 the velocity when its acceleration is zero, is : 2 m/s 12 m/s - 9m/s 22 m/s

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Problem 04 The Refractive index of plastic is 1.25, the polarising angle and the angle of refraction for light incident at the polarizing angle will be respectively : 51.3, 38.7 61.4, 39.6 71.4, 49.6 none of these

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Problem 05 The critical angle of a medium with respect to air is 45 0 . The refractive index of that medium will be : 1.72 1.414 2.12 1.5

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Problem 06 A man can not see distinctly an object beyond 5 m. He wants to see the stars. The focal length of the lens which he must use, is : 5 m 7 m 10 m 2.5 m

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Problem 07 The effective length of a magnet is 31.4 cm and its pole strength is 0.5 Am. Calculate its magnetic moment. If it is bent in form of semicircle, then magnetic moment will be : 0.157 Am 2 , 0.01 Am 2 0.357 Am 2 , 0.01 Am 2 1.157 Am 2 , 1.01 Am 2 none of these

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Problem 08 The charge on two identical metallic ball are + 40 and – 10 respectively and they are separated at 2.0 m. How much and nature of force will act between them ? 2.9 N, repulsive 1.9 N, attractive 1.2 N, repulsive 0.9 N, attractive

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Problem 09 The radius of nucleus of silver (atomic number Z = 47) is 3.4 x 10 -14 m the electric potential on the surface of nucleus will be : 1.99 x 10 6 V 2.99 x 10 6 V 3.99 x 10 6 V none of these

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Problem 10 The strong, electrostatic and gravitational forces are in the ratio : 1 : 10 -8 : 10 -48 1 : 10 -4 : 10 -40 1 : 10 -3 : 10 -30 1 : 10 -2 : 10 -34

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Problem 11 A battery is charged by a supply of 100 volt as shown in figure. The charging current is 1.0 A. the value of R is : 88 ohm 68 ohm 44 ohm none of these

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Problem 12 A ball is thrown vertically upwards with an initial velocity 1.4 m/s returns in 2 seconds. The total displacement of the ball will be : 22.4 m zero 33.6 m 44.8 m

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Problem 13 The capacitance of a metallic sphere is 1 , then its radius will be : 10 m 1.11 km 9 km 1.11 km

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Problem 14 The current gain of a transistor in common base mode is 0.995. Its gain in the common emitter mode is : 200 99 0.995 none of these

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Problem 15 If an electron is accelerated through a potential drop V of 100 V. It will have the wavelength equal to : 1100 Å 110 Å 10 Å 1 Å

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Problem 16 The ionization potential of mercury is 10.39 V. How far an electron must travel in an electron must travel in an electric field of 1.5 x 10 6 V/m to gain sufficient energy to ionize mercury ? m m 1.39 x 1.6 x 10 -19 m m

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Problem 17 A bucket full of water weights 5 kg, it is pulled from a well 20 m deep. There is a small hole in the bucket through which water leaks at a constant rate of 0.2 kg/m. The total work done in pulling the bucket up from the well is (g = 100 m/s 2 ) : 600 J 400 J 100 J 500 J

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Problem 18 The magnetic induction at a distance r from the axis of an infinitely straight conductor which carries current i is : zero

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Problem 19 Two satellites A and B go round a planet in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3 , the speed of satellite B will be : 4 /3 3 /2 6 2

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Problem 20 A proton and an -particle are accelerated through same potential difference. The ratio of their de-Broglie wavelength will be : 2 1

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Problem 21 Ultraviolet light wavelength 300 nm and intensity 1.0 W/m 2 fallson the surface of photoelectric metal. If one percent of incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm 2 of the surface is nearly : 2.13 x 10 11 /sec 1.5 x 10 12 /sec 3.02 x 10 12 /sec none of these

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Problem 22 If the number of turns in a coil becomes doubled, then it self inductance will be : Double Halved Four times Unchanged

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Problem 23 A brass sphere immersed completely in water at 0 0 C weighs 1.5 kg. If water is heated to 50 0 C, with sphere immersed in it all through, the weight of sphere now is : 1.5 kg > 1.5 kg < 1.5 kg none of these

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Problem 24 A particle undergoes a motion described by the equation The amplitude of the motion is : 4 unit 2 unit 2 unit unit

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Problem 25 Total energy emitted by a perfectly black body is directly proportional to T n where n is : 1 2 3 4

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Problem 26 The kinetic energy of electron moving with the velocity of 4 x 10 6 m/s, will be : 60 eV 50 eV 45 eV 30 eV

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Problem 27 A tuning fork of frequency 340 Hz is vibrated just above the tube of 120 cm height. Water is poured slowly in the tube. What is the minimum height of water necessary for the resonance ? (speed of sound in air = 340 m/s) : 45 cm 30 cm 45 cm 25 cm

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Problem 28 At which temperature, the speed of sound in air will be 1.6 time the speed of sound in air at 25 0 C ? 590 0 C 490 0 C 390 0 C 290 0 C

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Problem 29 the speed of waves is 360 m/s and frequency is 50 Hz. Phase difference between two consecutive waves is 60 0 . Path difference between them will be : 0.72 cm 120 cm 0.72 cm 12 cm

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Problem 30 Magnifying power of objective of compound microscope is 8. If the magnifying power of microscope is 32. Then magnifying power of eye piece will be : 7 5 4 3

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Problem 31 The current i passed in any instrument in an A.C. circuit is i = 2 sin amp and potential difference applied is given by V = 5 cos volt. Power loss in the instrument is : 10 watt 5 watt zero watt 20 watt

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Problem 32 In A.C. circuit in which inductance and capacitance are joined in series. Current is found to be maximum when the value of inductance is 0.5 H and the value of capacitance is 8 .the angular frequency of applied alternating voltage will be : 4000 Hz 5000 Hz 2 x 10 5 Hz 500 Hz

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Problem 33 A water film is formed between two parallel wires of 10 cm length. The distance of 0.5 cm between the wires is increased by 1 mm. Which will be the work done ? (Surface tension of water = 72 N/m) 288 erg 144 erg 72 erg 36 erg

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Problem 34 Adiabatic modulus of elasticity of a gas is 2.1 x 10 5 N/m 2 . What will be its isothermal modulus of elasticity ? 1.2 x 10 5 N/m 2 4 x 10 5 N/m 2 1.5 x 10 5 N/m 2 1.8 x 10 5 N/m 2

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Problem 35 The energy of an electron in an excited hydrogen atom is –3.4 eV . Its angular momentum is : 3.72 x 10 -34 Js 2.11 x 10 -34 Js 1.57 x 10 -34 Js 1.11 x 10 -34 Js

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Problem 36 The bulk modulus of water is 2 x 10 9 N/m 2 . The change in pressure required to increase the density of water by 0.1% is : 2 x 10 9 N/m 2 2 x 10 6 N/m 2 2 x 10 8 N/m 2 2 x 10 9 N/m 2

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Problem 37 In a sinusoidal wave, the time required for a particular point to move from maximum displacement is 0.17 sec. The frequency of wave is : 2.94 Hz 1.47 Hz 0.73 Hz 0.36 Hz

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Problem 38 When a slow neutron is captured by u 235 nucleus. A fission results, which release 200 MeV energy. If the output of a nuclear reactor is 1.6 Mwatt . The rate of nuclei undergoing fission is : 4 x 10 16 5 x 10 16 3 x 10 16 none of these

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Problem 39 The range of particle when launched at an angle of 15 0 with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45 0 to the horizontal : 3.0 km 1.5 km 6.0 km 0.75 km

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Problem 40 In a magnetic field, with the value of induction is 0.9 wb /m 2 , a simple line conductor 0.4 m long is moving with the velocity 7 m/s. The value of maximum induced electromotive force will be : 2 volt 2.52 volt 2 volt 1 volt

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Problem 41 A stretched wire, 60 cm long in vibrating with its fundamental frequency 256 Hz. If the length of the wire is decreased to 15 cm and the tension remains the same, then the fundamental frequency of the vibration of the wire will be : 1024 Hz 512 Hz 64 Hz 256 Hz

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Problem 42 Two immiscible liquids of refractive indices 1.5 and are filled in glass jar each of length 6 cm. A light of source 5 is at the bottom of the jar, the apparent depth of light source will be : 12.5 cm 17 cm 12 cm 8.5 cm

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Problem 43 How many calories of heat will approximately be developed in a 210 watt electric bulb in 5 minutes : Zero 63000 1050 15000

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Problem 44 A torque of 10 -5 Nm is required to hold a magnet at 90 0 with the horizontal component H of the earth’s magnetic field. The torque required to hold it at 30 0 is : 5 x 10 -6 Nm x 10 -5 Nm 5 x 10 -6 Nm undefined as H is not given

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Problem 45 The unit of Plank’s constant is : Js -1 Js Js -2 J 2 s

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Problem 46 Heat travels through vacuum by : Radiation Conduction Convection None of these

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Problem 47 The velocity of electromagnetic wave in free space is 3 x 10 8 m/s. The frequency of radio waves of wavelength 150 m, is : 2 MHz 20 MHz 10 MHz 2 KHz

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Problem 48 If threshold wavelength for a certain metal is 2000Å, then the work function of metal is : 6.2 MeV 6.2 keV 6.2 J 6.2 eV

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Problem 49 The magnetic flux liked with the coil is given by the equation . The induced e.m.f in the coil in fourth second is : 80 V 40 V 20 V 10 V

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Problem 50 If at the same temperature and pressure, the densities for two diatomic gases are d 1 and d 2 respectively. Then the ratio of velocities of sound in these gases will be : a. b. c. d.

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