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MHT CET20228 Aug 2022Evening ShiftPhysicsRotational MotionActual

A solid sphere has mass ' M ' and radius ' R '. Its moment of inertia about a parallel axis passing through a point at a distance R 2 from its centre is

Options

  1. A8 MR ^2 11
  2. B11 MR ^2 18
  3. C7 MR ^2 10
  4. D13 MR ^2 20

Correct answer

D. 13 MR ^2 20

Step-by-step solution

Concept: Parallel axis theorem application. The moment of inertia for a sphere about the central rotation axis is: I _ sphere = 2 5 MR ^2 See the diagram below, To find the moment of inertia about the new rotation axis we use parallel axis theorem:

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