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2000 Physics

1. A body released from a great height falls freely towards earth. Another body is released from the same height exactly one second later. The separation between the two bodies two seconds after the releases of the second body is
(1) 19.6 m
(2) 24.5 m
(3) 4.9 m
(4) 9.8 m
2. A chimpanzee swinging on swing in a sitting position when suddenly stands up
(1) The period will be infinite
(2) The period will decrease
(3) The period will increase
(4) The period will remain the same
3. An aeroplane is flying with a uniform speed of 100 km/hour along the circumference of a circle. The change in velocity in half the revolution will be (km/ hour)
(1) 100
(2) 200
(3) 300
(4) 150
4. The kinetic energy of a body becomes four times its initial value. The new linear momentum will be
(1) same as the initial value
(2) twice the initial value
(3) thrice the initial value
(4) four times the initial value
5. A monoatomic gas is suddenly compressed to 1/8th of its initial volume adiabatically. The ratio of its final pressure to initial pressure is (r = 5/3)
(1) 32
(2) 40/3
(3) 24/5
(4) 8
6. In which process is the P. V indicator diagram a straight line parallel to volume axis?
(1) Adiabatic
(2) Irreversible
(3) Isobaric
(4) Isothermal
7. For which combination of working temperatures is the efficiency of Carnot's engine highest?
(1) 40k, 20k
(2) 60 k,  40k
(3) 100k, 80 k
(4) 80k, 60 k
8. The relation between n1 and n2 if the behavior of light ray is as shown in the figure aside is

(1) n2 > n1
(2) n1 >> n2
(3) n1 > n2
(4) n1 = n2
9. In f0 and fe are the focal lengths of the objective and eye-piece respectively for a telescope, its magnifying power is
(1) fe/f0
(2) Öfofe
(3) f0/fe
(4) f0xfe
10. In a cinema hall the distance between the projector and the screen is increased by 2%. Now the intensity of illumination of the screen
(1) increases by 2%
(2) decreases by 4%
(3) increases by 4%
(4) decreases by 2%
11. In young's double slit experiment the separation between the slits is halved and the distance between the slits and the screen is doubled. The fringe width will
(1) be doubled
(2) be quadrupled
(3) remain the same
(4) be halved
12. Two coherent light beams of intensity 1 and 4I are superposed. The maximum and  minimum possible intensities in the resulting beam are
(1) 9 I and I
(2) 9 I and 3 I
(3) 5 I and I
(4) 5 I and 3 I
13. The phenomenon of diffraction of light was discovered by
(1) Grimaldi
(2) Fresnel
(3) Newton
(4) Huygens
14. Diffraction effects are easier to notice in the case of sound waves than  in the case of light waves because
(1) sound waves are of longer wavelength
(2) Sound waves are mechanical waves
(3) Sound is perceived by the car
(4) Sound waves are longitudinal
15. Light incident on a glass plate at an angle of 600. The reflected and refracted rays are mutually perpendicular to each other. The refractive index of the plate is
(1) 1.73
(2) 1.5
(3) 0.5
(4) 1.22
16. Waves that cannot be polarised are
(1) Electromagnetic waves
(2) Light waves
(3) Longitudinal waves
(4) Transverse waves
17. The equation of a progressive wave is y = 0.02 sin 2p[1/0.01 - x/0.3] where x and y are in metres
(1) 40
(2) 400
(3) 30
(4) 300
18. A source X of unknown frequency produces 8 beats per second with a source of 250 Hz and 12 beats per second with a source of 270 Hz. The frequency of the source X is (Hz)
(1) 262
(2) 282
(3) 258
(4) 242
19. An empty vessel is partially filled with water; the frequency of vibration of air column in the vessel
(1) remains the same
(2) depends on the purity of water
(3) increases
(4) decreases
20. Four wires of identical lengths, diameters and of the same material are stretched on a sonometer wire. The ratio of their tension is 1: 4: 9: 16. The ratio of their fundamental frequencies is
(1) 4 : 3: 2: 1
(2) 1 : 4: 9: 16
(3) 16: 9: 4: 1
(4) 1: 2: 3: 4
21. A sound source is moving towards a stationary listener with 1/10 th of the speed of sound. The ratio of apparent to real frequency is
(1) 10/9
(2) (9/10)2
(3) (11/10)2
(4) 11/10
22. If1 vm is the velocity of sound in moist air and vd is the velocity of sound in dry air then.
(1) vm = vd
(2) vd >> vm
(3) vm > vd
(4) vm < vd
23. Transverse waves can propogate
(1) only in gases
(2) neither in solids nor in gases
(3) both in solids and gases
(4) only in solids
24. v1 and V2 are the velocities of sound at the same temperature in two monoatomic gases of densities p1 and p2 respectively. If p1/p2= 4, then the value of v1/v2 is
(1) 4
(2) 2
(3) 1/2
(4) 1/4
25. If is the reverberation time of an auditorium of volume V then
(1) T µ V2
(2)  T µ 1/V2
(3) T µ V
(4) T µ 1/v
26. A cube of side 'b' has charge 'q' at each of its vertices. The electric field at the centre of the cube will be
(1) q/b2
(2) v/2b2
(3) 32v/b2
(4) Zero
27. n identical mercury droplets charged to the same potential V coalesce to form a single bigger drop. The potential of the new drop will be
(1) n2/3V
(2) nV2
(3) nV
(4) V/n
28. Two capacitors with capacitance C1 and C2 are charged to potential V1 and V2 respectively. When they are connected in parallel the ratio of their respective charge is
(1) C2/C22
(2) V2/V22
(3) V2/V2
(4) C1/C2
29. In a charged capacitor the energy is stored in
(1) the electric field between the plates
(2) the edges of the capacitor plates
(3) Positive charges
(4) both in positive and negative charges
30. Two resistances r1 and r2 (r1 < r2) are joined parallel. The equivalent resistance R is such that
(1) r1 < R < r2
(2) R < r1
(3) R > r1+ r2
(4) r2 < R < r1+ r2
31. The value of current I in the circuit shown aside is
(1) 0.1 A
(2) 0.5 A
(3) 1/3 A
(4) 1/6 A
32. A uniform wire of resistance R is uniformly compressed along its length until its radius becomes n times the original radius. Now the resistance of the wire becomes
(1) R/n2
(2) R/n4
(3) nR
(4) R/n
33. An electric kettle has two heating elements. One brings it to boil in ten minutes and the other is fifteen minutes. If the two heating filaments are connected in parallel, the water in the kettle will boil in
(1) 6 minutes
(2) 8 minutes
(3) 25 minutes
(4) 5 minutes
34. 5 rows of 10 identical cells, connected in series, send a current I through an external resistance of 20 ohm. If the emf and internal resistance of each cell is 1.5 volt and 1 Ω respectively then the value of 1 (amp) is
(1) 0.68
(2) 0.75
(3) 0.25
(4) 0.14
35. The resistance of a conductor is 5 ohm at 500C and 6 ohm at 1000C. Its resistance at 00C is
(1) 3 ohm
(2) 4 ohm
(3) 1 ohm
(4) 2 ohm
36. The figure aside shows current in a part of the circuit. Then

(1) I =1.3 amp
(2) I =1 amp
(3) I =1.7 amp
(4) I =1.7 amp
37. In a typical Wheat stone's network the resistance in cyclic order are P =10 ohm, Q = 5 ohm S = 4 ohm and R = 4 ohm. For the bridge to balance
(1) 5 ohm should be connected in parallel with Q
(2) 5 ohm should be connected in series with Q
(3) 10 ohm should be connected to parallel with P
(4) 10 ohm should be connected series with P
38. Electron of mass m and charge C is travelling with  a speed v along a circular path of radius r at right angles to a uniform magnetic field B. If the speed of the electron is doubled and the magnetic field is halved the resulting path would have a radius
(1) 4 r
(2) 2 r
(3) r/4
(4) r2
39. A and B are two concentric circular conductors of centre O and carrying currents I1 and I2 as shown in the adjacent figure. The ratio of their is 1 : 2 and ratio of their flux densities at O due to A and B is 1 : 3. The value of I1/I2 is

(1) 1/6
(2) 1/4
(3) 1/2
(4) 1/3
40. The resistance of an ideal ammeter is
(1) Very high
(2) Infinite
(3) Zero
(4) Small
41. Two long straight parallel conductors carrying currents in the opposite directions
(1) rotate about each other
(2) do not exert any force on one another
(3) attract each other
(4) repel one another
42. An example for diamagnetic substance is
(1) Nickel
(2) Aluminium
(3) Copper
(4) Iron
43. Relative permeability of iron is 5500. Its magnetic susceptibility is
(1) 5500 x 107
(2) 5499
(3) 5501
(4) 5500 x10-7
44. A magnet dropped into a coil of conducting wire along its axis will fall with an acceleration
(1) less than g
(2) equal to g in the beginning and more than g later
(3) equal to g
(4) more than g
45. A hotwire ammeter reads 10 A in an AC circuit. The peak value of current is
(1) 10Ö 2 A
(2) 5 pA
(3) 2/pA
(4) 10Ö2 A
46. The magnetic flux linked with the coil with time as f = 3t2 + 4t + 9. The magnitude of induced emf at t = 2 second is
(1) 9 V
(2) 16 V
(3) 3 V
(4) 4 V
47. In an AC circuit the reactance  of a coil is Ö3 times its resistance. The phase difference between the voltage across the coil to the current through the coil is
(1) p/6
(2) p/4
(3)p/3
(4) p/2
48. Solar spectrum at the time of total solar eclipse is
(1) Line emission spectrum
(2) Band atmosphere spectrum`
(3) Continuous emission spectrum
(4) Line absorption spectrum
49. Radio waves and visible light in vacuum have.
(1) Different velocity, different wavelength
(2) Same Velocity, same wavelength
(3) Same wavelength but different velocity
(4) Same velocity but different wavelength
50. The energy that should be added to an electron to reduce its deBroglie wavelength from 10-10 m to 0.5 x10-10  m will be
(1) four times the initial energy
(2) equal to the initial energy
(3) twice the initial energy
(4) thrice the initial energy
51. If  R is the Rydberg constant for Hydrogen, the wave length of the first line in the Lyman series is
(1) R/2
(2) 2R
(3) R/4
(4) 3R/4
52. Two radiations containing photons of energy twice and five times the work function of a metal are incident successively on the metal surface. The ratio of the maximum velocities of the emitted electrons in the two cases will be
(1) 1 : 3
(2) 1 : 4
(3) 1 : 2
(4) 1 : 1
53. If E1 is the energy released per unit mass in nuclear fusion and E2  that in nuclear fission then
(1) E1 = E2
(2)  E1 = -E2
(3)  E1 > E2
(4)  E1 < E2
54. In the nuclear reaction 7N14+ 2He4 ®X + 1H1 the nuclear X is
(1) 8N16
(2)  8N17
(3)  8O16
(4)  8O17
55. An atom of mass number A and atomic number Z emits successively an α-particle, β-particle and y-rays. The mass number and atomic number of the end product are.
(1) A, Z + 1
(2) A-1, Z -4
(3) A-4, Z-1
(4) A-4, Z+2
56. After an interval of one day I/I6th initial amount of a radioactive material remains in a sample. Then its half life is
(1) 6 hours
(2) 12 hours
(3) 1.5 hours
(4) 3 hours
57. The electrical circuit used to get smooth DC output from a rectifier circuit is called
(1) Oscillator
(2) Full wave rectifier
(3) Amplifier
(4) Filter
58. The relation between α and β parameters of a transistor is given by
(1) α = 1-β /β
(2) α = 1+β /β
(3) α = β /1-β
(4) α = β /1+β
59. The impurity atom that should be added to Germanium to  make it n-type is
(1) Arsenic
(2) Iodine
(3) Aluminum
(4) Indium
60. When visible light is incident on a metal surface no photoelectrons are emitted. If a second beam is to be selected it must be
(1) IR radiation
(2) Microwave
(3) Radio wave
(4) UV radiation



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