A) \[4\omega \]
B) \[\frac{M}{4m}\omega \]
C) \[\left( \frac{M+4m}{M} \right)\omega \]
D) \[\left( \frac{M}{M-4m} \right)\omega \]
E) \[\left( \frac{M}{M+4m} \right)\omega \]
Correct Answer: E
Solution :
According to conservation of angular momentum, \[I\omega =constant\] ie, we can write \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] or \[M{{R}^{2}}\omega =(M+4m){{R}^{2}}{{\omega }_{2}}\] or \[{{\omega }_{2}}=\left( \frac{M}{M+4m} \right)\omega \]
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