A) \[24/n\,h\]
B) \[24n\,h\]
C) \[24/{{n}^{2}}\,h\]
D) \[24\,{{n}^{2}}\,h\]
Correct Answer: C
Solution :
From the conservation of momentum, we have \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] Thus, we get \[\frac{2}{5}M{{R}^{2}}\left( \frac{2\pi }{{{T}_{1}}} \right)=\frac{2}{5}M\frac{{{R}^{2}}}{{{n}^{2}}}\left( \frac{2\pi }{{{T}_{2}}} \right)\] Hence, we get \[{{T}_{2}}=\frac{{{T}_{1}}}{{{n}^{2}}}=\frac{24}{{{n}^{2}}}h\]You need to login to perform this action.
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