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1998 Physics

1. Equation of a progressive wave is given by y= a sin p {1/2, x/4] where t is seconds and x is in metres. Then the distance through which the wave moves in 8 seconds it (in metre):
  (1) 4
(2) 2
(3) 16
(4) 8
2. A tuning fork A produces 4 beats/second with another tuning fork B of frequency 288 CPS. When the fork A is loaded with a little wax, the beat frequency changes to 2. The frequency of the fork A before loading in (in CPS):
  (1) 288
(2) 290
(3) 284
(4) 292
3. A and B are two hills at a distance 510 m, apart. A person standing between the hills, claps his hands and hears two echoes at the end of 1 second and 2 seconds. The velocity of sound in air (in m/s) is:
  (1) 340
(2) 1020
(3) 255
(4) 510
4. Two strings of the same material and same length have their tensions in the ratio 4 :1 and radii in the ratio 2:1. The ratio of their fundamental frequency is:
  (1) 4
(2) 1
(3) 1/2
(4) 2
5. A pipe open at both ends products a note of frequency f1. When the pipe is kept with 3/4th of its length in water, it produces a note of frequency f2. The ratio f1/f2 is:
  (1) 2
(2) 1/2
(3) 4/3
(4) 3/4
6. The apparent frequency of a note, when a listener moves towards a stationary source, with velocity of 40 m/s, is 200 Hz. When he moves away from the same source with the same speed, the apparent frequency of the same note is 160 Hz. The velocity of sound in air is (in m/s):
  (1) 340
(2) 320
(3) 330
(4) 360
7. Maximum value of the wavelength of ultrasonic waves is:
  (1) 1.65 cm
(2) 33 cm
(3) 20 cm
(4) 1.65 m
8. Bright colours exhibited by spider's web, exposed to sun light due to:
  (1) Resolution
(2) Interference
(3) Polarisation
(4) Diffraction
9. In Young's double slit experiment on interference, the ratio of the intensities of a  bright band and a dark band is 16:1. The ratio of the amplitudes of the interfering waves is:
  (1) 1/4
(2) 4
(3) 5/3
(4) 16
10.` Numerical aperture of an oil immersion objective using oil of R.I. 1.5 is 0.75. Then, its numerical aperture, when kept in air is:
  (1) 0.5
(2) 0.25
(3) 0.3
(4) 1
11. Velocity of light, according to this theory, is greater in a denser medium than in a rarer medium:
  (1) Quantum theory
(2) Electromagnetic theory
(3) Wave theory
(4) Corpuscular theory
 
12. Biaxial crystal among the following is:
  (1) Tourmaline
(2) Selenite
(3) Quartz
(4) Calcite
13. Ordinary light incident on a glass slab at the polarising angle, suffers a deviation of 220. The value of the angle of refraction in glass in this case is:
  (1) 220
(2) 340
(3) 680
(4) 560
14. Two spherical conductors of radii 4 m 5 m are changed to the same potential. If s1 and s2 be the respective values of the surface density of charge on the two conductors, then the ratio s1/s2 is:
  (1) 25/16
(2) 16/25
(3) 5/4
(4) 4/5
15. In the electric circuit given below, capacitance of each capacitor is 1 µF. The effective capacitance between the points A and B is (in µF):
 

  (1) 2/3
(2) 3/2
(3) 1/6
(4) 6
16. A point charge A of change + 4 µC and another point charge B of charge -1 µC are placed in air at a distance 1 metre apart. Then the distance of the point on the line joining the charges and from the charge B, Where the resultant electric field is zero, is (in metre):
  (1) 1.5
(2) 0.5
(3) 1
(4) 2
17. When a positively charged conductor is earth connected:
(1) Electrons flow from the earth to the conductor
(2) Protons flow the conductor to the earth
(3) No charge flow occurs
(4) Electrons flow from the conductor to the earth
18. When 2 equal resistance are connected in parallel to the poles of a cell of negligible internal resistance, the power developed is P. When the same resistances are connected in series across the same cell, the power developed is:
  (1) P/2
(2) P
(3) 4 P
(4) P/4
19. Resistance of a copper coil is 4.64 Ω at 400C and 5.6 Ω at 1000C. Then its resistance at 00C is ( in Ω):
  (1) 4.2
(2) 5.12
(3) 0.96
(4) 4
20. In the electric circuit shown, each cell has an e.m.f of 2 V and internal resistance of 1 Ω The external resistance is 2 Ω. The value of the current  I is ( in A):
 

  (1) 0.4
(2) 3
(3) 2
(4) 1.2
21. The value of the resistance r in the electric circuit given below is (in Ω ):
 

  (1) 1
(2) 2
(3) 3
(4) 5
22. Kirchhoff's voltage law is based on the law of conservation of
  (1) Charge
(2) Momentum
(3) Energy
(4) Mass
23. A.T.G. of reduction factor 1 A is placed with the plane of its coil ^ to the magnetic meridian. When a current of 1 A is passed through it, the deflection produced is:
  (1) 600
(2) 300
(3) Zero
(4) 450
24. A current passing through a circular coil of two turns produces a magnetic field B at its centre. The coil is then rewound so as have four times and the same current is passed through it. The magnetic field at its centre now is:
  (1) 4B
(2) B/4
(3) B/2
(4) 2 B
25. A potentiometer wire of length 10 m and resistance 30 Ω is connected in series with a battery of e.m.f. 2.5 V and internal resistance 5 Ω and an external resistance R. If the fall of potential along the potentiometer wire is 50 µV/mm, the value of R is (in Ω):
  (1) 100
(2) 50
(3) 80
(4) 115
26. A voltmeter has a range O-V with a series resistance R, With a series resistance 2 R, the range is O-V'. The correct relation between  V and V' is:
  (1) V' >> 2V
(2) V' < 2V
(3) V' > 2V
(4) V = 2V
27. A galvanometer has a resistance G and a current Ia flowing in it produces full scale deflection. S1 is the vale of the shunt, which converts it into an ammeter of range O-I and S2 is the value of the shunt for the range O-2I. The ratio S1/S2 is:
  (1) 1
(2) 2
(3) S1/S2=1/2(1-1a/2I-Ia)
(4) S1/S2=1/2(2I-1a/I-Ia)
28. Susceptibility of a magnetic substance is found to depend on a temperature and the strength of the magnetising field. The material is a:
  (1) Superconductor
(2) Paramagnet
(3) Ferromagnet
(4) Diamagnet
29. Reactance of a capacitor of capacitance C µF for A. C. of frequency 400/p Hz is 25 Ω. The value of C is:
  (1) 100
(2) 400
(3) 50
(4) 25
30. Current in an inductance of 1 mH is reduced from 5 A to O in 1 ms. The e.m.f induced in it is (in V):
  (1) 5
(2) 50
(3) 10-6
(4) 1/5
31. In an ideal transformer, the voltage and the current in the primary are 200 V, 2A and that in the secondary are 2000 V, IA. The value of I is (A):
  (1) 1
(2) 0.2
(3) 2
(4) 20
32. Choke used to limit high frequency A. C. has :
  (1) A diamagnetic core
(2) A paramagnetic core
(3) Iron core
(4) Air core
 
33. Light of certain wavelength and Intensity ejects photoelectrons from a metal plate. Then this beam is replaced by another beam of smaller wavelength and smaller intensity. As a result:
(1) K.E. of the photoelectrons increases but the strength of the photoelectric current decreases
(2) K.E. of the photoelectrons decreases but the strength of the photoelectric current increases
(3) Emission of photoelectrons stops.
(4) No change occurs.
34. Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant R and velocity of light C is:
(1) 4/RC
(2) 4 RC
(3) RC/4
(4) RC
35. A photon of energy 8 eV is incident on a metal surface of threshold frequency 1.6 x 1015 Hz. The K.E. of the photoelectrons emitted ( in eV). (Take h = 6  x 10-34J-S):
(1) 2
(2) 1.2
(3) 1.6
(4) 6
36. TV waves have a wavelength range of 1-10 metre. Their frequency range in MHz is:
  (1) 3-3000
(2) 300-3000
(3) 3-30
(4) 30-300
37. r1 and r2 are the radii of atomic nuclei of mass numbers 64 and 27 respectively. The ratio r1/r2  is:
(1) 1
(2) 4/3
(3) 27/64
(4) 64/27
38. Atoms whose nuclei contain different number of protons but same number of neutrons are called:
  (1) Isoclinics
(2) Isobars
(3) isotones
(4) Isotopes
39. When a triton captures of a proton. it becomes:
  (1) Meson
(2) Neutron
(3) Deuteron
(4) α-particle
40. An electron of mass me and a proton of mass mp are injected into a uniform magnetic field at right angles to the direction of the field, with equal velocity. The ratio of the radii of their orbits re/rp  is equal to
  (1) me/mp
(2) 2
(3) mp/me
(4) 1
41. A β- particle is emitted by a radioactive nucleus at the time of conversion of:
(1) A positron into energy
(2) A nucleon into energy
(3) A proton into a neutron
(4) A neutron into a proton
42. Percentage of the original number of atoms in a radioactive sample remaining at the end of one mean life is:
(1) 60
(2) 50
(3) 37
(4) 63
43. 1  gram of radioactive element reduces to 1/3 gram at the end of 2 days. Then the mass of the element remaining at the end of 6 days is (gram):
(1) 1/12
(2) 1/27
(3) 1/6
(4) 1/9
44. De Broglie wavelength of a body of mass m and kinetic energy E is given by:
  (1) l = h/mE
(2) l = Ö2mE/h
(3) l = h/2mE
(4) l = h/Ö2mE
45. Minority carriers present in a p-type semiconductor are due to:
(1) Thermal agitation
(2) Bias voltage
(3) Ionisation of impurities
(4) Addition of impurities
46. For a transistor, the parameter β = 99. The value of the parameter α is:
(1) 9
(2) 1
(3) 0.99
(4) 0.9
47. A stone of mass 1 kg . tied to the end of a string of length 1 m, is whirled in a horizontal circle, with a uniform angular velocity of 2 radian/sec. The tension of the string is (N) :
(1) 1/4
(2) 4
(3) 1/2
(4) 2
48. A light body A and a heavy body B has have equal linear momentum. Then the K.E. of the body A.
(1) is zero
(2) is smaller than that of B
(3) is greater than that of B
(4) is equal to that of B
49. Time of exposure for a photographic print is 10 sec., when a lamp of 50 Cd is placed at 1 m. from it. Then another lamp of luminous intensity I  is used , and is kept at 2m. from it. If the time of exposure now is 20 sec., the value of I is (Cd):
(1) 20
(2) 200
(3) 25
(4) 100
50. If a liquid does not wet glass, in angle of contact is:
(1) Obtuse
(2) Zero
(3) A right angle
(4) Acute
51. P, Q and R are three coplanar forces acting at a point and are in equilibrium. Given P = 1.9318 kgwt, sin q1= 0.9659, the value of R  is (in kgwt):
 

  (1) 1/2
(2) 1
(3) 2
(4) 0.9659
52. A carnot's engine works a source at a temperature of 270C and a sink at -1230C. Its efficiency is:
(1) 0.4
(2) 0.75
(3) 0.25
(4) 0.5
53. During adiabatic compression of a gas, its temperature:
(1) becomes zero
(2) remains constant
(3) rises
(4) falls
54. The number of degrees of freedom from molecules of a monoatomic gas is:
(1) 3
(2) 4
(3) 6
(4) 5
55. Amount of heat required to raise the temperature of a body through 1 k is called its:
  (1) Entropy
(2) Thermal capacity
(3) Water equivalent
(4) Specific heat
56. A mirror produces a magnified erect image of an object. The nature of the mirror is:
(1) Plane
(2) Neither convex nor concave
(3) Concave
(4) Convex
57. The magnifying power of a simple microscope M is given by
  (1) M = 1 + D/f
(2) M = u/v
(3) M = v/u
(4) M =1 + f/D
58. Length of a Galilean telescope in normal adjustment, in terms of the focal length the objective (fa) and that of the eyepiece (fe) is:
  (1) (fe-f0)
(2) (f0+fe)
(3) (f0+fe)
(4) (f0-fe)
59. Range of a projectile is R, when the angle of projection is 300. Then, the value of the other angle of projection for the same range is:
(1) 400
(2) 500
(3) 600
(4) 450
60. Device used to measure very high temperatures is:
  (1) Thermometer
(2) Pyrometer
(3) Calorimeter
(4) Bolometer



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