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Consider the earth as a uniform sphere i...

Consider the earth as a uniform sphere if mass `M` and radius `R`. Imagine a straight smooth tunnel made through the earth which connects any two points on its surface. Show that the motion of a particle of mass m along this tunnel under the action of gravitation would be simple harmonic. Hence, determine the time that a particle would take to go from one end to the other through the tunnel.

A

`2pisqrt((R^3)/(GM))`

B

`pisqrt((R^3)/(GM))`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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