A) \[\frac{1}{3}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\]
B) \[\frac{1}{6}\frac{\ell \omega }{g}\]
C) \[\frac{1}{2}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\]
D) \[\frac{1}{6}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\]
Correct Answer: D
Solution :
\[\frac{1}{2}\left( \frac{m{{\ell }^{2}}}{3} \right){{\omega }^{2}}=mgh\] \[\Rightarrow \]\[h=\frac{{{\omega }^{2}}{{\ell }^{2}}}{6g}\]
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