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26. Four spheres, each of mass and radius are situated at the four corners of square of side . The moment of inertia of the system about an axis perpendicular to the plane of square and passing through its centre will be

(a)    (5/2)M  (4r2 +5R2) (b)    (2/5)M (4r2+5R2) (c)    (2/5)M  (4r2 +5r2) (d)    (5/2)M  (4r2 +5r2) Ans....

Orbit of a planet around a star is

(a)      A circle                                   (b) ...

99. Stress to strain ratio is equivalent to

(a)   Modulus of elasticity (b)   Poission’s Ratio (c)   Reyhold number (d)   Fund number Answer-a (7)

The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is

(a)      4T   (b)                                      T/4 (c)   8T                                       (d)  T/8 Answer: c (6)

If a body describes a circular motion under inverse square field, the time taken to complete one revolution T is related to the radius of the circular orbit as

(a)    T ∞ R                 (b) T ∞ R2 (c)   T ∞ R3 ...

To an astronaut in a spaceship, the sky appears

(a)      Black                                          (b)  White (c)   Green                             ...

25. Four masses are joined to a light circular frame as shown in the figure. The radius of gyration of this system about an axis passing through the centre of the circular frame and perpendicular to its plane would be

(a)  a/√2 (b)  a/2 (c)   a (d)  2a Ans. c (16)

Two satellite A and B, ratio of masses 3 : 1 are in circular orbits of radii r and 4r. Then ratio of total mechanical energy of A to B is

(a)      1 : 3                                 ...

Which is constant for a satellite in orbit

(a)      Velocity                              (b)  Angular momentum (c)  ...

45. Where can a geostationary satellite be installed

(a)      Over any city on the equator (b)  Over the north or south pole (c)   At height R above earth...

The orbital velocity of a planet revolving close to earth’s surface is

(a)   √2 gR                                   ...

An earth satellite S has an orbit radius which is 4 times that of a communication satellite C. The period of revolution of S is

(a)      4 days                                        (b)  8 days (c)   16 days                       ...

37. Which of the following statements is correct in respect of a geostationary satellite

(a)      It moves in a plane containing the Greenwich meridian (b)  It moves in a plane perpendicular to the celestial...

35. The periodic time of a communication satellite is

(a)  6 hours                               (b)  12 hours (c)   18 hours                             (d)  24 hours Answer: d (11)

In the following four periods

(i)   Time of revolution of a satellite just above the earth’s surface(Tst) (ii)  Period of oscillation of mass inside the...

A satellite is to revolve round the earth in a circle of radius 8000 km. The speed at which this satellite be projected into an orbit, will beA satellite is to revolve round the earth in a circle of radius 8000 km. The speed at which this satellite be projected into an orbit, will be

(a)       3 km/s                               ...

44. A satellite is launched into a circular orbit of radius ‘R’ around earth while a second satellite is launched into an orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is

(a)  0.7                                     (b)  1.0 (c)   1.5                                      (d)  3 Answer: d (53)

42. A geo-stationary satellite is orbiting the earth at a height of 6 R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth is

(a)  10 hr                                  (b) (6/√2) hr (c)   6 hr                                     (d) 6√2hr Answer: d (6)

40. Periodic time of a satellite revolving above Earth’s surface at a height equal to R, radius of Earth, is [g is acceleration due to gravity at Earth’s surface]

(a)  2π√2R/ g                      (b) 4√2π√R/g (c)     2π√R/ g                             (d)...

39. If Gravitational constant is decreasing in time, what will remain unchanged in case of a satellite orbiting around earth

(a)  Time period                            (b)  Orbiting radius (c) ...

38. The distance of a geo-stationary satellite from the centre of the earth (Radius R = 6400 km) is nearest to

(a)  5 R                                      (b)  7 R (c)   10 R                                    (d)  18 R Answer:  b (4)

91. A load W produces an extension of 1mm in a thread of radius r. Now if the load is made 4W and radius is made 2r all other things remaining same, the extension will become

(a)   4 mm                                      (b)   16 mm (c)   1 mm                                       (d)   0.25 mm Answer-c (24)

92. The units of Young ‘s modulus of elasticity are

(a)  Nm-1                                     ...

89. Under elastic limit the stress is

(a)   Inversely, proportional to strain (b)   Directly proportional to strain (c)   Square root of strain (d)   Independent of strain Answer-b...

88. The modulus of elasticity is dimensionally equivalent to

(a)   Surface tension                    (b)   Stress (c)   Strain                                      (d)   None of these Answer-b (16)

87. A force F is applied on the wire of radius r and length L and change in the length of wire is l. If the same force F is applied on the wire of the same material and radius 2r and length 2L, Then the change in length of the other wire is

(a)   l                                                (b)   2l (c)   l/2                                           (d)   4l Answer-c (11)

86. In solids, inter-atomic forces are

(a)  Totally repulsive (b)   Totally attractive (c)   Combination of (a) and (b) (d)   None of these Answer-c (7)

Three rods each of length L and mass M are placed along X, Y and Z-axes in such a way that one end of each of the rod is at the origin. The moment of inertia of this system about Z axis is

(a)    2ML2/3 (b)   4 ML2/3 (c)    5 ML2/3 (d)    ML2/3 Ans. a (13)

The ratio of the K.E. required to be given to the satellite to escape earth’s gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit just above earth atmosphere is

(a)      One                               (b)     Two (c)  ...

19. Let  be the moment of inertia of an uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle θ  with AB . The moment of inertia of the plate about the axis CD is then equal to

(a)   l                      (b)   l sin2θ            ...

Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be

(a)      5 I (b)      6 I   (c)      3 I (d)     4 I Ans....

An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will

(a)      Fall vertically down to the earth (b)  Move towards the moon (c)   Will move along with space-ship (d)  Will...

A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is

(a)      4.8 hours                                   (b)  48√2  hours (c)   24 hours                       ...

80. The extension of a wire by the application of load is 3 mm. The extension in a wire of the same material and length but half the radius by the same load is

(a)   12 mm                                             (b)   0.75 mm (c)   15 mm                       ...

85. An iron rod of length 2m and cross section area of , stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young’s modulus of the iron rod is

(a) 19.6×1010 N/m2                           (b)  19.6×1015 N/m2 (c)  19.6×1018 N/m2   ...

84. Which of the following affects the elasticity of a substance

(a)  Hammering and annealing (b)   Change in temperature (c)   Impurity in substance (d)    All of these Answer-d (7)

5. Consider a satellite going round the earth in an orbit. Which of the following statements is wrong

(a)      It is a freely falling body (b)  It suffers no acceleration (c)   It is moving with a constant speed...

83. If a spring is extended to length l, then according to Hook’s law

(a)  F=kl                                     ...

An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. R is the radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by

(a)   gR2/R+h                                     ...

Select the correct statement from the following

(a)      The orbital velocity of a satellite increases with the radius of the orbit (b)  Escape velocity of a particle...

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