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1997 Physics

1. One gram of a radioactive element reduces to 200 mgm in 10days. Then the mass of the sample at the end of another 10 days is ( in mgm)
(1) 20
(2) 40
(3) 100
(4) 50
2. A thorium nucleus is formed, when a uranium nucleus emits an α-particle. Atomic number of thorium is:
(1) 94
(2) 82
(3) 90
(4) 92
3. Unipolar transistor among the following is:
  (1) Field effect transistor
(2) Point contact transistor
(3) p-n-p transistor
(4) n-p-n transistor
4. One serious drawback of semiconductor devices, is:
(1) They pollute the environment
(2) They cannot be used with high voltages
(3) They are costly
(4) They do not last for long time.
5. Magnetic field due to a long straight conductor of length l, carrying correct l, at a point distance d from it, is given by:
  (1) B = µ0/4p x 2µ/d2
(2) B = µ0/2p x 2I/d
(3) B = µ0/4p x 2I/d
(4) B = µ0/4p x 2µ/d
6. In a Melde's experiment, the string vibrates in two loops, when a tension of 2 N is applied to it. Tension to be applied to make the same string vibrate in four loops is:
(1) N
(2) 1/4 N
(3) 1/2 N
(4) 4 N
7. A tuning fork A produces five beats per second with another fork B of frequency 256 cps. On filling the fork A, only two beats are heard per second. Frequency of fork A before filling is:
(1) 251
(2) 254
(3) 261
(4) 256
8. Optically active substance among the following:
  (1) Sodium chloride
(2) Quartz
(3) Tourmaline
(4) Calcite
9. X1 and X2 are the susceptibilities of a diamagnetic substance of temperature T1 K and T2k
  (1) X1T2 = X2T1
(2) X1 ÖT1 = X2ÖT2
(3) X1 = X2
(4) X1T1 = x2T2
10. Above Curie temperature:
(1) A diamagnetic substance becomes paramagnetic
(2) A paramagnetic substance becomes antiferromagnetic
(3) A paramagnetic substance becomes ferromagnetic
(4) A ferromagnetic substance becomes paramagnetic
11. The frequency of the first overtone of a closed -pipe of length le is equal to that of the second overtone of an open pipe of length l0. Then the ratio l0/le is equal to:
(1) 2
(2) 3
(3) 1
(4) 1/2
12. In a double slit interference experiment, d is the separation of the slits and D is the distance of the screen from the plane of the slits. When white light is used, a dark band of wavelength is formed, directly in front of the one of the slits. Then the value of l is:
(1) d/D
(2) d/D2
(3) D/d
(4) d2/D
13. Phenomenon of diffraction of light was discovered by:
(1) Newton
(2) Huygens
(3) Grimaldi
(4) Fresnel
14. A  beam of  light is passed through a polaroid  and the latter is rotated with the beam of light as axis. The intensity of the emergent light varies between a maximum and a minimum. Then the light used is:
(1) Either (2) or (3)
(2) Neither (2) nor (3)
(3) Elliptically polarised light only
(4) A mixture of elliptially polarised and unpolarised light only.
15. q is the polarising angle for two optical media, whose critical angles are C1 and C2. Then is correct relation is:
  (1) sin q = sinC2/sin C1
(2)  q = C2/ C1
(3) tan q = sinC1/sin C2
(4) sin q = sinC1/sin C2
16. The normal magnifying power of a simple microscope is 6. The focal length of the convex lens  used is:
(1) 0.5 cm
(2) 0.05cm
(3) 5 m
(4) 50 cm
17. Germanium crystal doped with equal number of phosphorus and antimony atoms is:
(1) An n-type semiconductor
(2) A superconductor
(3) An intrinsic semiconductor
(4) A p-type semiconductor.
 
18. A point source of light produces an illumination I at a point. When the distance between them is made four times its original value, the intensity at the point becomes:
(1) 1/16
(2) 1/4
(3) 4I
(4) 3I/16
19. A 0 K temperature, a p-type semiconductor:
(1) Has equal number of holes and free electrons
(2) Has few holes and few free electrons
(3) Does not have any charge carriers
(4) Has few holes but no free electrons
20. When a proton in a radioactive nucleus becomes a neutron, the emitted particle is:
  (1) Neutrino
(2) p-meson
(3) Electron
(4) Position
21. The focal length of a plano convex lens is equal to its radius of curvature. The value of the refractive index of its material is:
(1) 1.33
(2) 1.6
(3) 1.5
(4) 2`
22. Colour of light having maximum speed in air is:
(1) Red
(2) Yellow
(3) Violet
(4)  Blue
23. A, B and C are three optical media of respective critical angles C1, C2 and C3. Total internal reflection of light can occur from A to B and also from B and C but not from C to A. Then the correct relation between the critical angles is:
  (1) C1< C2< C3
(2) C3 < C1 < C2
(3) C1 = C2 = C3
(4) C1> C2 > C3
24. A dark Pattern on a Chinadish appears brighter than the rest of the dish, when it is strongly heated and taken to a dark room. This is an illustration of:
(1) Wien's displacement law
(2) Joule's law
(3) Stefan-Boltzmann law`
(4) Kirchhoff's radiation law.
 
25. At constant pressure, V1 and V2 are the volumes of a given mass of a gas at temperature 270C and 540C respectively. Then the ratio v1/v2 is:
(1) Ö100/109
(2) 100/109
(3) 27/24
(4) 54/27
26. Einstein's photoelectrical equation was experimentally verified by:
(1) Millikan
(2) Rutherford
(3) Einstein
(4) Fermi
27. Number of photons of wavelength 600 nm, emitted per second by an electric bulb of power of 60 w is       (Take h = 6 x 10-34 J.s.)
(1) 1020
(2) 2 x 1020
(3) 600
(4) 60
28. Maximum velocity of photoelectrons emitted by a photoemitter is 1.8 x 106 m/sec. Taking e/m = 1.8
(1) 106V
(2) 1.8 V
(3) 11.8 v
(4) 9 v
29. In a nuclear reactor 0.01 mgm of a fissile material is totally converted into energy in one second. The poer of the reactor in MW is :
(1) 100
(2) 0.01
(3) 900
(4) 1000
30. In the nuclear reaction given below, the particle X is:
  15P30 ®14Si30 + X
  (1) Positron
(2) Meson
(3) Electron
(4) Neutron
31. A spherical conductor of radius R, placed in air, is given a charge Q. Then the potential at a point inside the conductor and at a distance R/2 from its centre is:
  (1) V= 4pe0 R
(2) V= 4peR
(3) V= 1/4pe0 Q/2R
(4) V= 1/4pe0 Q/R
32. A parallel plate air capacitor is charged by connecting its plates to a battery. Without disconnecting the battery, a dielectric is introduced between its plates. At a result:
(1) Capacitance of the capacitor decreases
(2) None of these
(3) Charge on the plates decreases
(4) P.D. between the plates increases.
 
33. The effective capacitance between the points A and B in the circuit shown (in µF) is: (capacitance of each capacitor is I µF).

(1) 0.4
(2) 3
(3) 4
(4) 2
34 125 water drops of equal radius and equal capacitance C, coalesce to form a single drop of capacitance C'. The relation between C and C' is:
(1) C' =5C
(2) C' =C/125
(3) C' =C
(4) C' =125C
35. A uniform wire of resistance R and length L is cut into four equal parts, each of Length L/4, which are then connected in parallel. The effective resistance of the combination is:
(1) R/4
(2) r
(3) R/16
(4) 4R
36. When an α-particle captures an electron, it becomes:
(1) A helium ion
(2) A β-particle
(3) A helium atom
(4) A hydrogen atom
37. The voltmeter connected in the circuit shown a reading of 5 V. Resistance of the voltmeter ( in Ω) is:

(1) 200
(2) 10
(3) 50
(4) 100
38. The energy band picture of a solid is, a fully-filled valence band and an empty conduction band,  with a forbidden  energy gap in between. The solid is:
(1) An insulator only.
(2) Neither a semiconductor nor an insulator
(3) Either a semiconductor or an insulator
(4) A semiconductor only.
39. In a Fraunhofer diffraction experiment at a single slit using light of wavelength 400 nm, the first, minimum is formed at an angle of 300. Then the direction q of the first secondary maximum is given by:
(1) tan-1 (4/3)
(2) 600
(3) sin-1(3/4)
(4) tan-1 (3/4)
40. A potentiometer wire has a resistance of 20 Ω and length 10 m. It is connected in serious with a battery of e. m. f. 2.5 v and negligible internal resistance, an and external resistance of 5 Ω. Fall of potential in m V per meter is:
(1) 5
(2) 200
(3) 10
(4) 20
41. With a resistance PΩ in the left gap and another resistance Q Ω in the right of a metre bridge, the balance point is obtained at 40 cm. When a resistance of 6Ω is connected across Q , the balance point shifts to 50 cm. The value of P is:
(1) 2
(2) 1
(3) 3
(4) 6
42. To increase the range of a voltmeter:
(1) A shunt must be used
(2) The resistance of the voltmeter coil must be decreased
(3) The series resistance must be increased
(4) The series resistance must be removed.
43. Relation between the mean value 1m and the r.m.s  value 1r.m.s of a sinusoidal A. C. is:
  (1) Im=2Ö2/p Ir.m.s
(2) Ir.m.s = Ö2Im
(3) Ir.m.s =Im Ö2
(4) Ir.m.s =2/p Im
 
44. An electric bulb marked 40 W, 200 V, is used in a circuit of supply voltage 100V. Its power now is:
(1) 20 W
(2) 10 W
(3) 40 W
(4) 100 W
45. Siemen is a unit of:
(1) Mutual inductance
(2) Resistivity
(3) Self-inductance
(4) Conductance
46. The disc of a siren has a holes and the frequency of its rotation is 300 r.p.m. It produces a note of wavelength 2.4m., when the velocity of sound in air is 360 m/s. The value of n is:
(1) 24
(2) 36
(3) 5
(4) 30
47. The temperature in 0C at which the velocity of sound in air is half its value of O0C. is :
(1) -273
(2) -204.75
(3) 0.5
(4) + 204.75
48. Pitch of a musical note depends on:
(1) Its amplitude
(2) The instrument producing it
(3) Its fundamental frequency only
(4) Its harmonics only
49. In a longitudinal stationary wave produced in a gas, pressure changes are maximum:
(1) At all points
(2) None of these
(3) At the antinodes
(4) At the nodes
50. When the listener moves towards a stationery source with a velocity VL, the apparent frequency of a note emitted by the source is f'. When the listener moves away from the source with the same velocity, the apparent frequency of the note is f". Given f'/f" = 3 and V as the velocity of sound in air, the value of V/VL is:
(1) 1
(2) 2
(3) 1/2
(4) 3
51. A body falling from rest describe S1,S2 and S3 in the first, second and third seconds of its fall. Then the ratio S1: S2: S3 is:
(1) 1 : 4 : 9  
(2) 1 : 1 : 1
(3) 1 : 3 : 5
(4) 1 : 2 : 3
52. When a particle executes linear simple harmonic motion, its kinetic energy is maximum:
(1) At every point on its path
(2) None of these
(3) At the extreme positions of its swing
(4) At the mean position
53. Maximum and minimum values of the resultant of the two forces acting at a point are 7 N  and 3 N respectively. Then smaller force is equal to:
(1) 4 N
(2) 2.1 N
(3) 5 N
(4) 2 N
54. AB is a uniform wire of resistance 2000 Ω and C is the midpoint of AB. A voltmeter of resistance 1000 Ω is connected between A and C. Then the reading of the voltmeter, when the P.D. applied across AB is 150 V, is:

(1) 150 V
(2) 100 V
(3) 50 V
(4) 75 V
55. In the series parallel grouping (multiple arc) of smaller cells, the current through the external resistance is maximum, when the value of the external resistance is equal to:
(1) The effective internal resistance of cells in one row.
(2) None of these
(3) The internal resistance of one cell
(4) The effective internal resistance of all cells
56. Two electric bulbs 40 W, 200 v and 100 W, 200 V are connected in series. Then the maximum voltage that can be applied across the combination, without fusing either bulb (in V) is:
(1) 200
(2) 300
(3) 400
(4) 280
57. Calculate the current I in the circuit shown:

(1) 1 A
(2) 12 A
(3) 3 A
(4) 6 A
58. A charge q is at rest in a magnetic field of the flux density B. Force acting on it is:
(1) q/B
(2) Zero
(3) Bq
(4) B/q
59. Two resistances R1 and R2 have effective resistance RS when connected in series and Rp, when connected in parallel. If RSRp = 16 and R1/R2 = 4, calculate the value of R1 and R2 (in units of resistance).
(1) R1= 4, R2 = 1
(2) R1= 8, R2 = 21
(3) R1= 1, R2 = 0.25
(4) R1= 2, R2= 0.5
60. A current of 0.25 A flows in the main circuit. Now, the resistance R is disconnected and then connected across the 4 Ω resistance. The current in the circuit now is:

(1) 1/2 A
(2) 4A
(3) 2/9 A
(4) 6/19 A



 

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