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

A solid sphere is rotating at ω. If its radius is doubled keeping mass constant, and angular momentum is conserved, what is the new angular velocity?

Answer: ω/4.

  • A ω/4
  • B
  • C ω/2
  • D

Correct answer: A. ω/4

Explanation: L = Iω = (2/5)MR²ω. New I = (2/5)M(2R)² = 4 × (2/5)MR². For L conservation: ω' = ω/4.

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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