A) \[2\,{{m}_{0}}/\mu \]
B) \[3\,{{m}_{0}}/\mu \]
C) \[{{m}_{0}}/\mu \]
D) \[{{m}_{0}}/2\mu \]
Correct Answer: D
Solution :
Conservation of angular momentum \[\Rightarrow \] \[\frac{{{\omega }_{0}}}{2}\left[ (\mu t){{R}^{2}}+\frac{{{m}_{0}}{{R}^{2}}}{2} \right]=\frac{{{m}_{0}}{{R}^{2}}}{2}{{\omega }_{0}}\]\[\Rightarrow \]\[t=\frac{{{m}_{0}}}{2\mu }\]
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