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  4. The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, M = mass of the earth, Re = radius of the earth):

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Q. The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, M = mass of the earth, Re = radius of the earth):

EAMCETEAMCET 1996

Solution:

Escape velocity of a body, from the surfaces of earth $ {{v}_{e}}=\sqrt{\frac{2G{{M}_{e}}}{{{R}_{e}}}} $ It does not depend on the mass of the body.