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MHT CET202313 May 2023Evening ShiftPhysicsRotational MotionActual

Four identical uniform solid spheres each of same mass ' M ' and radius ' R ' are placed touching each other as shown in figure with centres A, B, C, D. I _ A , I _ B , I _ C , I _ D are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane, then

Options

  1. AI _ A > I _ B > I _ C > I _ D
  2. BI _ D > I _ C > I _ B > I _ A
  3. CI _ A = I _ D > I _ B = I _ C
  4. DI _ A = I _ D < I _ B = I _ C

Correct answer

C. I _ A = I _ D > I _ B = I _ C

Step-by-step solution

The moment of inertia of A and D will be equal as the mass, distance, and position are similar. Similarly, the moment of inertia of B and C are equal. But the moment of inertia of A and D is greater than B and C as they are at the ends.

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