A) \[\frac{\omega }{n}\]
B) \[\frac{\omega }{{{n}^{2}}}\]
C) \[n\omega \]
D) \[{{n}^{2}}\omega \]
Correct Answer: D
Solution :
On applying law of conservation of angular momentum. \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] For solid sphere, \[I=\frac{2}{5}m{{r}^{2}}\] \[\therefore \] \[\frac{2}{5}mr_{1}^{2}{{\omega }_{1}}=\frac{2}{5}mr_{2}^{2}{{\omega }_{2}}\] \[{{r}^{2}}\omega ={{\left( \frac{r}{n} \right)}^{2}}\omega _{2}^{2}\] \[{{\omega }_{2}}={{n}^{2}}\omega \]
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