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Physics Gravitation Mix MCQ (Single Correct)

Two bodies of masses and 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

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The correct answer is:
B

Let velocities of these masses at r distance from each other be and respectively.

By conservation of momentum

… (i)

By conservation of energy

change in P.E.=change in K.E.

…(ii)

On solving equation (i) and (ii)

and

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