STANDARDPhysics-Rotational Motion

STANDARD Physics Conservation of Angular Momentum MCQ Question

Type: MCQ-conceptual-Medium

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K. Now, the child stretches his arms so that moment of inertia of the system doubled. Now, the kinetic energy of the system is

A

K4\frac{K}{4}

B

K2\frac{K}{2}

C

2 K

D

4 K

Correct Answer

Option B

Detailed Explanation

When the moment of inertia doubles, the angular velocity is halved to conserve angular momentum (Iω = constant). The kinetic energy, which is proportional to the square of the angular velocity, becomes half of its original value, i.e., K2\frac{K}{2}.

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