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NEET2005PhysicsRotational MotionActual

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

Options

  1. A2: 1
  2. B1: 2
  3. C2 : 1
  4. D1: 2

Correct answer

D. 1: 2

Step-by-step solution

K.E. rotation K= 1 2 I ^2 Angular momenta L=100 K= L^2 2 Here K₁+K₂, I₁=I₁, I₂=21 L₁ L₂ = 2 I₁ K₁ 2 I₂ K₂ aligned & = I₁ I₂ = I 2 I & = 1 2 aligned

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