Answer: √(3gL).
- A √(3gL)
- B √(2gL)
- C √(gL)
- D √(6gL)
Correct answer: A. √(3gL)
Explanation: Energy conservation: Mg(L/2) = (1/2)(ML²/3)ω² → ω = √(3g/L). Speed of free end = ωL = √(3gL).
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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