Suppose a vertical tunnel is dug along t...

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

`(4pi)/3Grho ym`

`3/4 pi Grhoy`

`4/3pirhoy`

`4/3piGrhoy`

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Verified by Experts

The correct Answer is:

Mass of the sphere is given by `M=4/3pi y^(3)rho`
Gravitational force
`F=(G(4/3pi y^(3) rho)m)/(y^(2))impliesA=F/m`

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