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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A fan rotating with ω=100rad/s\omega=100 \mathrm{rad} / \mathrm{s}, is switched off. After 2n2 \mathrm{n} rotation its angular velocity reduces to 50rad/s50 \mathrm{rad} / \mathrm{s}. Find out the angular velocity of the fan after nn rotations.
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Correct option: A
2510 rad/s25 \sqrt{10} \mathrm{~rad} / \mathrm{s}
Option A (2510 rad/s25 \sqrt{10} \mathrm{~rad} / \mathrm{s}) is correct because it is derived from using the equations of rotational motion with constant angular acceleration.

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