The escape velocity from the surface of ea

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The escape velocity from the surface of earth is ${V_e}$. The escape velocity from the surface of a planet whose mass and radius are $3$ times those of the earth will be

A

${V_e}$

B

$3{V_e}$

C

$9{V_e}$

D

$27{V_e}$

The escape velocity from the surface of earth is ${V_e}$. The escape velocity from the surface of a planet whose mass and radius are $3$ times those of the earth will be

${v_e} = \sqrt {\frac{{2GM}}{R}} $

${v_e} \propto \sqrt {\frac{M}{R}} $

If mass and radius of the planet are three times than that of earth then escape velocity will be same.