A body starts from rest from a point distant r0 from the centre of the Earth. It reaches the surface of the Earth whose radius is R. The velocity acquired by the body is if r0>R
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a
2GM1R-1ro
b
2GM(1R-1ro )
c
GM1R-1ro
d
GM(1R-1Ro)
answer is B.
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Detailed Solution
From law of conservation of energy -GMmro = 12mv2-GMmRor 12mv2 = GMmR-GMmr0or v22 = GMR-GMr0or v2 =2GM[1R-1r0]or v = 2GM(1R-1ro)