Escape velocity on earth is 11.2 km/s. Wh

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Escape velocity on earth is $11.2\, km/s$. What would be the escape velocity on a planet whose mass is $1000$ times and radius is $10$ times that of earth ......... $km/sec$​

A

$112$

B

$11.2$

C

$1.12$

D

$3.7$

Escape velocity on earth is $11.2\, km/s$. What would be the escape velocity on a planet whose mass is $1000$ times and radius is $10$ times that of earth ......... $km/sec$​

$\frac{{{v_p}}}{{{v_e}}} = \sqrt {\frac{{{M_p}}}{{{M_e}}}\frac{{{R_e}}}{{{R_p}}}} = \sqrt {(1000) \times \left( {\frac{1}{{10}}} \right)} = 10$

${v_p} = 10 \times 11.2 = 112\;km/s$