For a planet having mass equal to mass of

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For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

A

$11.2$

B

$5.6$

C

$22.4$

D

$44.8$

For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be

${v_e} \propto \frac{1}{{\sqrt R }}$.

If $R$ becomes $\frac{1}{4}$ then ${v_e}$ will be $2$ times.