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Question

Physics Question on Gravitation

If MM is the mass of the earth and RR its radius, the ratio of the gravitational acceleration and the gravitational constant is :

A

R2M\frac{R^2}{M}

B

MR2\frac{M}{R^2}

C

MR2MR^{2}

D

MR\frac{M}{R}

Answer

MR2\frac{M}{R^2}

Explanation

Solution

Gravitational acceleration is given by
g=GMR2g=\frac{G M}{R^{2}}
where G=G= gravitational constant
gG=MR2\therefore \, \frac{g}{G}=\frac{M}{R^{2}}