The escape velocity from the earth is abou

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The escape velocity from the earth is about $11$ km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth, is  ......... $km/sec$

A

$22$

B

$11$

C

$5.5$

D

$15.5$

The escape velocity from the earth is about $11$ km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth, is  ......... $km/sec$

${v_e} = \sqrt {\frac{{2GM}}{R}} = R\sqrt {\frac{8}{3}\pi G\rho } $

${v_e} \propto R$ if  $\rho$= constant

Since the planet having double radius in comparison to earth therefore the escape velocity becomes twice i.e. $22 \,km/s.$