A constant external torque t acts for a very brief period Dt on a rotating system having…

Physics · JEE Advanced · NTA Exams — Rotational Motion

1. The angular momentum of the system will change by  t Dt
2. The angular velocity of the system will change by tDt/I
3. If the system was initially at rest, it will acquire rotational kinetic energy \(\frac{(2 \Delta t)^{2}}{2 I}\)
4. The kinetic energy of the system will change by \(\frac{(\pi \Delta t)^{2}}{I}\)

Answer

(A) The angular momentum of the system will change by t Dt, (B) The angular velocity of the system will change by tDt/I, (C) If the system was initially at rest, it will acquire rotational kinetic energy (2 t)^ 2 2 I

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