The radii of two planets are respectively $R_{1}$ and $R_{2}$ and their densities are $p_{1}$ and $p_{2}$ . Ratio of the accelerations due to gravity at their surfaces is :

\frac{R_{1}}{R_{2}} . \frac{p_{1}}{p_{2}}

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\frac{R_{2}}{R_{1}} . \frac{p_{1}^{2}}{p_{2}}

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\frac{R_{1}}{R_{2}} . \frac{p_{2}}{p_{1}}

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Solution

The correct option is B $\frac{R_{1}}{R_{2}} . \frac{p_{1}}{p_{2}}$
$g = \frac{4}{3} π ρ G R$
$∴ \frac{g_{1}}{g_{2}} = \frac{R_{1} ρ_{1}}{R_{2} ρ_{2}}$

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