**r**from the center. Let the density of Earth be

**p**. Let the mass of the body be

**m**. The force

**F**of gravity acting on the body will be proportional to the mass of Earth contained within the sphere of radius

**r**, given by,

**is the equation of motion of the body and is an example of simple harmonic motion. We know that the time period of oscillation is given by,**

(3)

(3)

The time taken by the body to reach the other side of the Earth is then given by,

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