If the radius of a planet is four times that of earth and t…

Physics Gravitation Gravitation Field, Force,Mass, Potential Energy and Escape Velocity Single Correct MCQ

Published on: September 12, 2026

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

$11.2 \, \mathrm{km/s}$

$5.6 \, \mathrm{km/s}$

$22.4 \, \mathrm{km/s}$

None

Text Solution

Verified by Experts

The correct answer is:

$v = \sqrt{2gR}$ ⇒ ⇒ $\frac{v_p}{v_e} = \sqrt{\frac{g_p}{g_e} \times \frac{R_p}{R_e}} = \sqrt{1 \times 4} = 2$

⇒ ⇒ $v_{p} = 2 \times v_{e} = 2 \times 11.2 = 22.4 \, km/s$

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