NEET Physics · Hard

Gravitation: Gravitation Mixed MCQ

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

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Gravitation MixedHardQuestion 6293

Question

For a double star system (masses M and 2M, separation d), they orbit their common COM. Angular velocity:
  1. A
    √(3GM/d³)
    Correct
  2. B
    √(GM/d³)
  3. C
    √(2GM/d³)
  4. D
    √(GM/d)

Correct answer

√(3GM/d³)

Explanation

Total mass = 3M. ω²×r = GM_other/d². For circular orbits about COM: ω = √(3GM/d³)... standard: ω = √(G×3M/d³) = √(3GM/d³).