If the radius of a planet is four times that of earth and the value of $g$ is same for both, the escape velocity on the planet will be ......... $km/s$
If the radius of a planet is four times that of earth and the value of $g$ is same for both, the escape velocity on the planet will be ......... $km/s$
$11.2$
$5.6$
$22.4$
None
If the radius of a planet is four times that of earth and the value of $g$ is same for both, the escape velocity on the planet will be ......... $km/s$
$v = \sqrt {2gR} $
$⇒ \frac{{{v_p}}}{{{v_e}}} = \sqrt {\frac{{{g_p}}}{{{g_e}}} \times \frac{{{R_p}}}{{{R_e}}}} = \sqrt {1 \times 4} = 2$
$⇒$ ${v_p} = 2 \times {v_e} = 2 \times 11.2 = 22.4\;km/s$
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