The escape velocity of an object on a plan

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The escape velocity of an object on a planet whose $g$ value is $9$ times on earth and whose radius is $4$ times that of earth in $km/s$ is

A

$67.2$

B

$33.6$

C

$16.8$

D

$25.2$

The escape velocity of an object on a planet whose $g$ value is $9$ times on earth and whose radius is $4$ times that of earth in $km/s$ is

$\frac{{{v_p}}}{{{v_e}}} = \sqrt {\frac{{{g_p}}}{{{g_e}}} \times \frac{{{R_p}}}{{{R_e}}}} = \sqrt {9 \times 4} = 6$

${v_p} = 6 \times {v_e} = 67.2\,km/s$