A) \[\frac{2\pi }{\sqrt{3}}\]
B) \[\frac{\sqrt{5}}{\pi }\]
C) \[\frac{\sqrt{5}}{2\pi }\]
D) \[\frac{4\pi }{\sqrt{5}}\]
Correct Answer: D
Solution :
| [d] \[v=\omega \sqrt{{{A}^{2}}-{{x}^{2}}}\] |
| \[a=x{{\omega }^{2}}\] |
| \[v=a\] |
| \[\omega \sqrt{{{A}^{2}}-{{x}^{2}}}=x{{\omega }^{2}}\] |
| \[\sqrt{{{(3)}^{2}}-{{(2)}^{2}}}=2\left( \frac{2\pi }{T} \right)\] |
| \[\sqrt{5}=\frac{\pi }{T}\] |
| \[T=\frac{4\pi }{\sqrt{5}}\] |
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