If acceleration due to gravity at earth is 'g' and mass of earth is 80 times that of moon an

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7.Gravitation

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If the acceleration due to gravity at earth is $'g'$ and mass of earth is $80$ times that of moon and radius of earth is $4$ times that of moon, the value of acceleration due to gravity at the surface of moon will be

A

$g$

B

$g/20$

C

$g/5$

D

$320\,g$

Solution

$\mathrm{G}_{\mathrm{moon}}=\frac{\mathrm{GMm}}{\mathrm{R}_{\mathrm{M}}^{2}}=\frac{\mathrm{G}(\mathrm{Me} / 80)}{(\mathrm{Re} / 4)^{2}}$

$=\frac{1}{5} \frac{\mathrm{GMe}}{\mathrm{Re}^{2}}=\frac{\mathrm{g}}{5}$

Standard 11

Physics

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