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A narrow tunnel is dug along a diameter ...

A narrow tunnel is dug along a diameter of earth .(mass M and radius R).A body of mass m is projected from a point P(which is at distance R/2 from the centre of earth) along the tunnel towards the surface of earth with a velocity `u=sqrt((GM)/(2R))`. Then the velocity of the body when it reaches the surface of earth is

A

`sqrt((3GM)/(4R))`

B

`sqrt((2GM)/(3R))`

C

`sqrt((GM)/R)`

D

The body will never reach the surface of earth

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The correct Answer is:
D
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