There are two planets. The ratio of radius

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There are two planets. The ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity

A

${(Kg)^{1/2}}$

B

${(Kg)^{ - 1/2}}$

C

${(Kg)^2}$

D

${(Kg)^{ - 2}}$

There are two planets. The ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity

$v = \sqrt {2gR} $
$\frac{{{v_1}}}{{{v_2}}} = \sqrt {\frac{{{g_1}}}{{{g_2}}} \times \frac{{{R_1}}}{{{R_2}}}} = \sqrt {g \times K} $= ${(Kg)^{1/2}}$