A) \[\pi \sec \]
B) \[\frac{3\pi }{2}\sec \]
C) \[2\pi \sec \]
D) \[\frac{\pi }{2}\sec \]
Correct Answer: C
Solution :
From conservation of angular momentum \[I\omega =mvr\] \[200\times \omega =50\times 2\times 1\] \[\omega =\frac{1}{2}rad/s\] \[v=r\omega =1m/s\] \[\therefore \] \[T=\frac{2\pi r}{1-(-1)}=\frac{2\pi r}{2}=\pi r=2\pi s\]
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