A tunnel is dug across the diameter of Earth

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

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 R2\frac{R}{2} from centre of Earth is (where RR = radius of Earth and MM = mass of Earth) (A) 3GM4R\sqrt{\frac{3GM}{4R}} (B) 2GM3R\sqrt{\frac{2GM}{3R}} (C) GM2R\sqrt{\frac{GM}{2R}} (D) 2GMR\sqrt{\frac{2GM}{R}}

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