The escape velocity of a planet having mas

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The escape velocity of a planet having mass $6$ times and radius $2$ times as that of earth is

A

$\sqrt 3 \,{V_e}$

B

$3\,{V_e}$

C

$\sqrt 2 \,{V_e}$

D

$2\,{V_e}$

The escape velocity of a planet having mass $6$ times and radius $2$ times as that of earth is

$\frac{{{v_p}}}{{{v_e}}} = \sqrt {\frac{{{M_p}}}{{{M_e}}} \times \frac{{{R_e}}}{{{R_p}}}} = \sqrt {6 \times \frac{1}{2}} = \sqrt 3 $

$\therefore \,\,\,{v_p} = \sqrt {3\,} {v_e}$