JEE Physics · Hard

Gravitation: Two-body Gravity MCQ

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

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Two-body GravityHardQuestion 30746

Question

Earth (mass M_E) and Moon (mass M_M) are at distance d apart. The gravitational force on the Moon is F. If Earth's mass is doubled, the new force is:
  1. A
    F
  2. B
    2F
    Correct
  3. C
    4F
  4. D
    F/2

Correct answer

2F

Explanation

F = GM_E M_M/d². If M_E → 2M_E: F' = G(2M_E)M_M/d² = 2F.