Assume that a tunnel along earth |GravitationJEEMain2021

JEE MAIN 2021

26-02-2021 S1

Question

Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R/2) from the earth's centre, where 'R' is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it will execute a simple harmonic motion with a time period :

Select the correct option:

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

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

$\frac{1}{2 \pi} \sqrt{\frac{g}{R}}$

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

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution