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Gravitation · Question 57

AIPMT 2003MCQEasy📈 Topic in 12% papers+4−1
1

Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be

  1. 3F
  2. F
  3. F/3
  4. F/9

Answer

(2) F

Solution

As per NCERT, the gravitational force between two masses is F = GMmr2, where G is a universal constant.

∵ G does not depend on the medium between the bodies (gravitation cannot be screened, unlike the electric force which is reduced by a factor K in a dielectric).

⇒ Masses and distance are unchanged, so the force is unchanged.

∴ Force in the liquid = F

Answer: (2)

AIPMT 2003

Keep practising — Gravitation

2

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?

  1. (2/9) m
  2. 18 m
  3. 6 m
  4. (2/3) m
AIPMT 2003
3

A body of mass m is placed on earth's surface which is taken from earth surface to a height of h = 3R, then change in gravitational potential energy is

  1. mgR4
  2. 23mgR
  3. 34mgR
  4. mgR2
AIPMT 2003
4

With what velocity should a particle be projected so that its height becomes equal to radius of earth?

  1. ( GMR )1/2
  2. ( 8GMR )1/2
  3. ( 2GMR )1/2
  4. ( 4GMR )1/2
AIPMT 2001
5

For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

  1. 11.2 km/s
  2. 22.4 km/s
  3. 5.6 km/s
  4. 44.8 km/s
AIPMT 2000
6

A body of weight 72 N moves from the surface of earth at a height half of the radius of earth, then gravitational force exerted on it will be

  1. 36 N
  2. 32 N
  3. 144 N
  4. 50 N
AIPMT 2000

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