Escape velocity on a planet is v_e. If rad

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Escape velocity on a planet is ${v_e}$. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes

A

$4\,{v_e}$

B

$2\,{v_e}$

C

${v_e}$

D

$\frac{1}{2}{v_e}$

Escape velocity on a planet is ${v_e}$. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes

${v_e} = \sqrt {\frac{{2GM}}{R}} $ $⇒$ ${v_e} \propto \sqrt M $ if $R = {\rm{constant}}$

If the mass of the planet becomes four times then escape velocity will become $2$ times.