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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A solid body rotates about a stationary axis with an angular retardation α=kω\alpha=k \sqrt{\omega} where ω\omega is the angular velocity of body. Find time after which body will come to rest if at t=0t=0 angular velocity of body was ω0\omega_0.
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Correct option: D
t=2ω0kt=\frac{2 \sqrt{\omega_0}}{k}
Option D (t=2ω0kt=\frac{2 \sqrt{\omega_0}}{k}) is correct because it is derived by integrating the given angular retardation equation to find the time when the angular velocity becomes zero.

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