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Suppose a vertical tunnel is dug along t...

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

A

`(4pi)/3 grhoy`

B

`3/4piGrhoy`

C

`4/3pirhoy`

D

`4/3piGrhoy`

Text Solution

Verified by Experts

The correct Answer is:
D
Mass of the sphere is given by `M=4/3piy^(3)rho`
Gravitational force,
`F=(G(4/3piy^(3)rho)m)/(y^(2))rArr a=F/m`
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