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MHT CET202311 May 2023Evening ShiftPhysicsRotational MotionActual

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

Options

  1. A1: 2
  2. B2 : 1
  3. C2: 1
  4. D1: 2

Correct answer

D. 1: 2

Step-by-step solution

The equation for angular momentum is L = 2 ~K _ Rot I So, L I The ratio of angular momentum of the two bodies is L ₁ ~L ₂ = I ₁ I ₂ L ₁ ~L ₂ = I 2 I . . ( . given . I ₂=2 I ) L ₁ ~L ₂ = 1 2

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