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⚛️ Physics  ·  System of Particles and Rotational Motion  ·  NEET & JEE

What is the moment of inertia of a solid sphere of mass M and radius R about its diameter?

Answer: 2MR²/5.

  • A 2MR²/5
  • B 2MR²/3
  • C MR²/2
  • D MR²

Correct answer: A. 2MR²/5

Explanation: For a solid sphere about its diameter, I = 2MR²/5. The hollow sphere gives 2MR²/3.

axis OPr⊥Fττ = r⊥ × F = r × F × sinθ

Torque about axis O equals the force F multiplied by the perpendicular distance r⊥ from the axis to the line of action of the force, producing rotation.

Concept context

Moment of inertia, torque, angular momentum, rolling motion. Very high JEE weightage.

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