Two planets have the same average density but their radii are $R_{1}$ and $R_{2}$ . If acceleration due to gravity on these planets be $g_{1}$ and $g_{2}$ respectively, then

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Solution

The correct option is A

$g = \frac{4}{3} π ρ G R .$ If $ρ$ = constant then $\frac{g_{1}}{g_{2}} = \frac{R_{1}}{R_{2}}$

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