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Question

Physics Question on Gravitation

Assuming the earth to be a sphere of uniform density, the acceleration due to gravity inside the earth at a distance of rr from the centre is proportional to

A

rr

B

r1r^{-1}

C

r2r^2

D

r2r^{-2}

Answer

rr

Explanation

Solution

Acceleration due to gravity at depth d from the surface of the earth or at a distance r from the centre ????of the earth g=43πρGrg' = \frac{4}{3}\pi\rho Gr Hence g??proptorg??propto r