The escape velocity on earth is 11.2 km/s

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The escape velocity on earth is $11.2 \,km/s$. On another planet having twice radius and $8$ times mass of the earth, the escape velocity will be ......... $km/s$

A

$3.7$

B

$11.2$

C

$22.4$

D

$43.2$

The escape velocity on earth is $11.2 \,km/s$. On another planet having twice radius and $8$ times mass of the earth, the escape velocity will be ......... $km/s$

$\frac{{{v_p}}}{{{v_e}}} = \sqrt {\frac{{{M_p}}}{{{M_e}}} \times \frac{{{R_p}}}{{{R_e}}}} = \sqrt {8 \times \frac{1}{2}} = 2$

${v_p} = 2 \times {v_e} = 22.4\,km/s$