The escape velocity for the earth is ${v_e}$. The escape velocity for a planet whose radius is four times and density is nine times that of the earth, is
The escape velocity for the earth is ${v_e}$. The escape velocity for a planet whose radius is four times and density is nine times that of the earth, is
$36\,{v_e}$
$12\,{v_e}$
$6\,{v_e}$
$20\,{v_e}$
The escape velocity for the earth is ${v_e}$. The escape velocity for a planet whose radius is four times and density is nine times that of the earth, is
$v \propto R\sqrt \rho $
$\frac{{{v_p}}}{{{v_e}}} = \frac{{{R_p}}}{{{R_e}}} \times \sqrt {\frac{{{\rho _p}}}{{{\rho _e}}}} = 4 \times \sqrt 9 = 12$
$⇒$ ${v_p} = 12{v_e}$
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