JEE Mains 25-Jan-2023 Shift 1 Solved Paper

Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simple harmonic motion. The mass of the particle is 100g. The time period of the motion of the particle will be (approximately)
(take g=10ms−2,radius of earth =6400‌km )