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If planets have same density but different radii, then the relation between escape velocity V and radius of planet R is

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$V \propto \sqrt{R}$

$V \propto 1 / R$

$V \propto R^{3 / 2}$

$V \propto R$

answer is C.

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Detailed Solution

$V_{e} = \sqrt{2 gR}$ and $g = \frac{4}{3} πρGR$

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