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JEE Main202431 Jan 2024Evening ShiftPhysicsGravitationActual

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

Options

  1. Av 3
  2. Bv 4
  3. Cv 12
  4. Dv 6

Correct answer

A. v 3

Step-by-step solution

As we know, escape velocity is given by, v escape = 2 G M R Now, v planet = 2 G M R = v v Moon = 2 G M × 16 144 × R = 1 3 2 G M R = v 3

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