A) \[\frac{1}{2\pi \sqrt{3}}\]
B) \[2\pi \sqrt{3}\]
C) \[\frac{2\pi }{\sqrt{3}}\]
D) \[\frac{\sqrt{3}}{2\pi }\]
Correct Answer: C
Solution :
Velocity = acceleration \[\omega \sqrt{{{a}^{2}}-{{y}^{2}}}={{\omega }^{2}}y\] \[\sqrt{{{(2)}^{2}}-{{(1)}^{2}}}=\omega (1)\] \[\Rightarrow \] \[\omega =\sqrt{3}\] \[T=\frac{2\pi }{\omega }\] \[\Rightarrow \] \[T=\frac{2\pi }{\sqrt{3}}\]
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