A tunnel is dug through the centre of the Earth. Show that a body...

A tunnel is dug through the centre of the Earth. Show that a body of mass ‘m’ when dropped from rest from one end of the tunnel will execute simple harmonic motion.

Options

A $2\pi \sqrt{\frac{R}{2g}}$
B $2\pi \sqrt{\frac{2R}{g}}$
C $2\pi \sqrt{\frac{R}{g}}$
D $2\pi \sqrt{\frac{3R}{2g}}$

Correct answer

C. $2\pi \sqrt{\frac{R}{g}}$

Step-by-step solution

Correct Option is : (C)

2\pi \sqrt{\frac{R}{g}}

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