A) \[\frac{a}{2}\]
B) \[a\sqrt{2}\]
C) \[\frac{a}{\sqrt{2}}\]
D) \[\frac{a\sqrt{2}}{3}\]
Correct Answer: C
Solution :
Suppose at displacement y from mean position potential energy = kinetic energy Þ \[\frac{1}{2}m({{a}^{2}}-{{y}^{2}}){{\omega }^{2}}=\frac{1}{2}m{{\omega }^{\text{2}}}{{y}^{2}}\] Þ \[{{a}^{2}}=2{{y}^{2}}\] Þ \[y=\frac{a}{\sqrt{2}}\]
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