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JEE Main2012PhysicsLaws of MotionActual

Two point masses of mass m₁=f M and m₂=(1-f) M(f < 1) are in outer space (far from gravitational influence of other objects) at a distance R from each other. They move in circular orbits about their centre of mass with angular velocities ₁ for m₁ and ₂ for m₂ . In that case

Options

  1. A(1-f) ₁=f
  2. B₁= ₂ and independent of f
  3. Cf ₁=(1-f) ₂
  4. D₁= ₂ and depend on f

Correct answer

B. ₁= ₂ and independent of f

Step-by-step solution

Angular velocity is the angular displacement per unit time i.e., = t Here w₁=w₂ and independent of f .

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