A) \[\frac{a}{2}\]
B) \[a\sqrt{2}\]
C) \[2a\]
D) \[\frac{a\sqrt{2}}{3}\]
E) \[\frac{a}{\sqrt{2}}\]
Correct Answer: E
Solution :
\[KE=PE\] \[\Rightarrow \] \[\frac{1}{2}m{{\omega }^{2}}({{a}^{2}}-{{y}^{2}})=\frac{1}{2}m{{\omega }^{2}}{{y}^{2}}\] \[\Rightarrow \] \[y=\frac{a}{\sqrt{2}}\]
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