A) \[\sqrt{(EI)}\]
B) \[2IE\]
C) \[E/I\]
D) \[\sqrt{(2EI)}\]
E) \[IE\]
Correct Answer: D
Solution :
\[E=\frac{1}{2}I{{\omega }^{2}}=\frac{1}{2I}{{(I\omega )}^{2}}\Rightarrow E=\frac{{{L}^{2}}}{2I}\therefore L=\sqrt{2EI}\]
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