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MHT CET2009PhysicsRotational Motion

The moments of inertia of two freely rotating bodies A and B are I_ A and I_ B respectively. I_ A >I_ B and their angular momenta are equal. If K_ A and K_ B are their kinetic energies, then

Options

  1. AK_ A =K_ B
  2. BK_ A K_ B
  3. CK_ A < K_ B
  4. DK_ A =2 K_ B

Correct answer

C. K_ A < K_ B

Step-by-step solution

Kinetic energy E= L² 2 I If angular momenta are equal, then E 1 I Kinetic energy E=K (given in problem) If I_ A >I_ B then K_ A < K_ B

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