AIIMS2003Physics-Gravitation

AIIMS 2003 Physics Escape Velocity MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The velocity with which a projectile must be fired so that it escapes earth's gravitation does not depend on

A

mass of the earth

B

mass of the projectile

C

radius of the projectile's orbit

D

gravitational constant

Correct Answer

Option B

Detailed Explanation

For a projectile to leave the gravitational field of the earth, its kinctic energy would bea at least equal to #s potential energy. That is 1 Min _ (26M 5 nv,” = Gs z= Ve Ff where G is the universal gravitational constant, © is the mass of the carth and 2 is the radius of the earth. Hence the escape velocity of a projectile is independent of mass

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