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Two bodies of masses m1 and m2, are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance r between them is

a
2Gm1−m2r1/2
b
2Gm1+m2r1/2
c
r2Gm1m21/2
d
2Grm1m21/2

detailed solution

Correct option is B

v1=2Gm1r and v2=2Gm2r(∵velocity of each is equal to escape velocity w.r.t. each other)relative velocity v1−v2=vor V=2Gm1+m2r

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