JEE Main 2023 Physics question

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 100 g. The time period of the motion of the particle will be (approximately) (Take g = 10 , radius of earth = 6400 km)

• (A)1 hour 40 minutes
• (B)12 hours
• (C)24 hours
• (D)1 hour 24 minutesCorrect