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Physics Question on System of Particles & Rotational Motion

The angular momentum of a rotating body changes from A0A_{0} to 4A04 A_{0} in 44 minutes. The torque acting on the body is :

A

3/4A0 3/4A_{0}

B

4A0 4A_{0}

C

3A0 3A_{0}

D

3/2A0 3/2A_{0}

Answer

3/4A0 3/4A_{0}

Explanation

Solution

Torque τ=dLdt=(4A0−A0)4\tau=\frac{d L}{d t}=\frac{\left(4 A_{0}-A_{0}\right)}{4}
=3A04=\frac{3 A_{0}}{4}