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Question: Answered & Verified by Expert
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:
PhysicsGravitationJEE MainJEE Main 2024 (31 Jan Shift 2)
Options:
  • A v3
  • B v4
  • C v12
  • D v6
Solution:
2686 Upvotes Verified Answer
The correct answer is: v3

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

Now, vplanet=2GMR=v

vMoon=2GM×16144×R=132GMR=v3

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