JEE Physics · Hard

Gravitation: Advanced — Rocket in Orbit MCQ

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

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Advanced — Rocket in OrbitHardQuestion 30780

Question

A rocket in circular orbit at radius r fires its engine briefly backward (retrograde). The rocket then:
  1. A
    Moves to a higher circular orbit
  2. B
    Moves to a lower orbit (elliptical, then circularises at lower radius)
    Correct
  3. C
    Escapes Earth
  4. D
    Stays in same orbit at lower speed

Correct answer

Moves to a lower orbit (elliptical, then circularises at lower radius)

Explanation

Retrograde burn: speed decreases → KE decreases → total E becomes more negative → apogee stays at r but perigee drops → elliptical orbit with lower perigee. A second retrograde burn at perigee circularises at the lower orbit.