A) \[\frac{3}{4}{{A}_{0}}\]
B) \[4{{A}_{0}}\]
C) \[3{{A}_{0}}\]
D) \[\frac{3}{2}{{A}_{0}}\]
Correct Answer: A
Solution :
Key Idea: The rate of change of angular momentum (dJ) of a body is equal to the external torque\[(\tau )\]acting upon the body. Torque = rate of change of angular momentum or \[\tau =\frac{dJ}{dt}\] Given, \[dJ=4{{A}_{0}}-{{A}_{0}},dt=4\text{ }\min \] \[\therefore \] \[\tau =\frac{3}{4}{{A}_{0}}\] Note: This formula\[\frac{dJ}{dt}\]is similar to the formula for linear motion.
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