Physics

Problem

A tunnel is dug across the diameter of Earth. A ball is released from the surface of Earth into the tunnel. The velocity of ball when it is at a distance

\frac{R}{2}

from centre of Earth is (where

R

= radius of Earth and

M

= mass of Earth) (A)

\sqrt{\frac{3GM}{4R}}

(B)

\sqrt{\frac{2GM}{3R}}

(C)

\sqrt{\frac{GM}{2R}}

(D)

\sqrt{\frac{2GM}{R}}

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