A) \[\frac{\text{3J}}{\text{5}}\]
B) \[\frac{\text{4J}}{\text{5}}\]
C) \[\frac{\text{5J}}{4}\]
D) None of these
Correct Answer: B
Solution :
Key Idea: Torque is defined as rate of change of angular momentum. We know that rate of change of angular momentum (J) of a body is equal to the external torque \[(\tau )\] acting upon the body. i.e., \[\frac{dJ}{dt}=\tau \] Given, \[{{J}_{1}}=J,\,{{J}_{2}}=5J\] \[\therefore \] \[\Delta J={{J}_{2}}-{{J}_{1}}=5J-J=4J\] Hence, \[\tau =\frac{4}{5}J\]
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