A) \[\sqrt{\frac{2}{3}}\left( \frac{m{{\omega }^{2}}}{k} \right)\]
B) \[\frac{m{{\omega }^{2}}}{k}\]
C) \[\frac{m{{\omega }^{2}}}{3k}\]
D) \[\frac{2m{{\omega }^{2}}}{k}\]
Correct Answer: B
Solution :
\[m{{\omega }^{2}}({{I}_{0}}+x)=kx\] \[x=\frac{m{{I}_{0}}{{\omega }^{2}}}{k-m{{\omega }^{2}}}\] For \[k>>m{{\omega }^{2}}\] \[\frac{x}{{{I}_{0}}}=\frac{m{{\omega }^{2}}}{K}\]
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