Assuming earth to be a sphere of uniform density, acceleration due to gravity inside earth at a dist

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7.Gravitation

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

A

$r$

B

${r^{ - 1}}$

C

$r^2$

D

${r^{ - 2}}$

(AIEEE-2012)

Solution

Acceleration due to gravity at depth $d$ from the surface of the earth or at a distance $r$

from the center $'O'$ of the earth' $ = \frac{4}{3}\pi \rho Gr$

Hence $g' \propto r$

Standard 11

Physics

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