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

A solid sphere and a hollow sphere have the same mass and radius. The ratio of their moments of inertia (solid : hollow) about a diameter is:

Answer: 3:5.

  • A 5:3
  • B 1:1
  • C 2:3
  • D 3:5

Correct answer: D. 3:5

Explanation: Solid sphere I = (2/5)MR<sup>2</sup>, hollow sphere I = (2/3)MR<sup>2</sup>. Ratio = (2/5):(2/3) = 3:5.

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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