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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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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. The child stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is
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Correct option: B
K2\frac{K}{2}
Option B (K2\frac{K}{2}) is correct because when the moment of inertia doubles, the angular velocity halves due to conservation of angular momentum, resulting in the kinetic energy being halved.

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