The acceleration due to gravity near the s

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The acceleration due to gravity near the surface of a planet of radius $R$ and density $d$ is proportional to

A

$\frac{d}{{{R^2}}}$

B

$d{R^2}$

C

$dR$

D

$\frac{d}{R}$

The acceleration due to gravity near the surface of a planet of radius $R$ and density $d$ is proportional to

$g = \frac{4}{3}\pi \rho GR\, \Rightarrow \,g \propto dR$   $(\rho = d\;{\rm{given\, in \,the \,problem)}}$