A body starts from rest from a point distance Ro from the centre of the earth. The velocity acquired by the body when it reaches the surface oft he earth will be (fire presents radius of the earth)
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a
2GM1R−1R0
b
2GM1R−1R0
c
GM1R−1R0
d
2GM1R−1R0
answer is B.
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Detailed Solution
P.E.=∫RR0 GMmr2dr=GMm1R−1R0The K.E. acquired by the body at the surface =12mv2∴ 12mv2=GMm1R−1R0v=2GM1R−1R0