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 ms -2 , radius of earth = 6400 km)
Text Solution
Verified by ExpertsThe correct answer is:
B
Let at some time particle is at a distance x from center of Earth, then at that position field
Acceleration of particle
Now 
= 2x3.14x800sec 
1 hour 24 minutes
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