JEE Physics · Hard

Gravitation: Escape from Orbit MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Escape from OrbitHardQuestion 30744

Question

A satellite orbits at radius r. Energy required to escape to infinity from this orbit is:
  1. A
    GMm/r
  2. B
    GMm/2r
    Correct
  3. C
    GMm/4r
  4. D
    2GMm/r

Correct answer

GMm/2r

Explanation

Total energy in orbit = −GMm/2r. Energy at infinity = 0. Energy needed = 0 − (−GMm/2r) = GMm/2r.