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 aurface. 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.

Options

A. `2pisqrt((R^3)/(GM))`
B. `pisqrt((R^3)/(GM))`
C. `pi/2sqrt((R^3)/(GM))`
D. None of these

Answer

B