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Gravitation · Question 60

AIPMT 2001MCQMedium📈 Topic in 25% papers+4−1
1

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

Answer

(1) ( GMR )1/2

Solution

Energy at the surface = energy at height h = R (where it momentarily stops):

12mv2 - GMmR = - GMm2R

12mv2 = GMm2R

v = ( GMR )1/2

Answer: (1)

AIPMT 2001

Keep practising — Gravitation

2

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
3

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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