A) 1/6 s
B) 1/12 s
C) 1/3 s
D) 1/4 s
Correct Answer: A
Solution :
As per, \[KE=\frac{75}{100}E=\frac{75}{100}\times \frac{1}{2}m{{a}^{2}}{{\omega }^{2}}\] \[\frac{1}{2}m{{a}^{2}}{{\omega }^{2}}{{\cos }^{2}}\omega t=\frac{75}{100}\times \frac{1}{2}m{{a}^{2}}{{\omega }^{2}}\] \[{{\cos }^{2}}\omega t=\frac{3}{4}\] \[\cos \omega t=\frac{\sqrt{3}}{2}=\cos \frac{\pi }{6}\] Or \[\omega t=\frac{\pi }{6}\Rightarrow t=\frac{\pi }{6\pi }=\frac{1}{6}s\]
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