The mass of the moon is 1 144 times the mass of a planet and its diameter 1 16 times the diameter of a…

The mass of the moon is 1144 times the mass of a planet and its diameter 116 times the diameter of a planet. If the escape velocity on the planet is v, the escape velocity on the moon will be:
  1. v3
  2. v4
  3. v12
  4. v6

Solution

As we know, escape velocity is given by, vescape=2GMR

Now, vplanet=2GMR=v

vMoon=2GM×16144×R=132GMR=v3

Asked in: JEE Main 2024 (31 Jan Shift 2)

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