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Gravitational field at the surface of a solid sphere is `1.5 xx 10^(-4) "N kg"^(-1)`. Find the gravitational field at a point situated inside the sphere at a distance equal to half of rhe radius of the solid sphere.

Answer» Let mass of the solid sphere is M and radius is R Its is given that
`E_("surface")=(GM)/(R^(2))=1.5xx10^(-4)`
`:. E(r=R//2)=(GM)/(R^(3))(R//2)`
`=(GM)/(2R^(2))=(1.5 xx 10^(-4))/(2)`
`=7.5xx10^(-4)"N kg"^(-1)`.


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