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MHT CET202410 May 2024Evening ShiftPhysicsRotational MotionActual

Two bodies A and B have their moments of inertia I₁ and I₂ respectively about their axis of rotation. If their kinetic energies of rotation are equal and their angular momenta L ₁ and L ₂ respectively are in the ratio 1: 3 , then I ₂ will be

Options

  1. A1 3 I ₁
  2. B3 I ₁
  3. C2 I ₁
  4. D3 I ₁

Correct answer

D. 3 I ₁

Step-by-step solution

array ll & ( K.E. )_A=( K.E. )_B & 1 2 I ₁ ₁^2= 1 2 I₂ ₂^2 & ₂^2 ₁^2 = I₁ I₂ ...(i) & Also, K.E = 1 2 ~L & 1 2 L₁ ₁= 1 2 L₂ ₂ & L₁ L₂ = ₂ ₁ = 1 3 ...(ii) & I₁ I₂ = 1 3 & I₂=3 I₁ array ....[From (i) and (ii)]

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