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AP EAMCET202423 May 2024Morning ShiftPhysicsRotational MotionActual

The moment of inertia of a solid sphere about its diameter is 20 ~kg ~m ^2 . The moment of inertia of a thin spherical shell having the same mass and radius about its diameter is

Options

  1. A16.6 ~kg ~m ^2
  2. B30.3 ~kg ~m ^2
  3. C33.3 ~kg ~m ^2
  4. D66.6 ~kg ~m ^2

Correct answer

C. 33.3 ~kg ~m ^2

Step-by-step solution

For solid sphere, I= 2 5 m r^2=20 mr ^2=20 5 2 =50 For thin spherical shell, I = 2 3 mr ^2= 2 3 50=33.3 ~kg ~m ^2

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