The mass of the moon is 1/144 times the mass of a planet and its diameter is 1/16 times the diameter of a planet. If the escape velocity on the planet is v, the escape velocity on the moon will be:

Gravitation: JEE Main 2024 Physics question

JEE Main 2024 · 31 Jan, Evening shift · Q7219

JEE Main 202431 Jan, Evening shiftPhysicsMediumGravitation159× since 2002

The mass of the moon is

\frac{1}{144}

times the mass of a planet and its diameter is

\frac{1}{16}

times the diameter of a planet. If the escape velocity on the planet is

v

, the escape velocity on the moon will be :