Test Academy | Suppose a vertical tunnel is dug along the diameter of earth assumed to be a sphere of uniform mass having density ρ. If a body of mass m is thrown in this tunnel, its acceleration at a distance y from the centre is given by 4πGρym/3, 3πGρy/4, 4πρy/3, 4πGρy/3

Question

Suppose a vertical tunnel is dug along the diameter of earth assumed to be a sphere of uniform mass having density ρ. If a body of mass m is thrown in this tunnel, its acceleration at a distance y from the centre is given by

Options :

4πGρym/3
3πGρy/4
4πρy/3
4πGρy/3

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