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Question

Physics Question on Gravitation

A particle falls towards earth from infinity. The velocity with which it reaches earth's surface is.

A

v=2gR

B

v=gRv=\sqrt{gR}

C

v=2gRv=\sqrt{2gR}

D

v=R/g

Answer

v=2gRv=\sqrt{2gR}

Explanation

Solution

12mν2GMmR=0\frac{1}{2} m \nu^2 - \frac{GMm}{R} = 0