A) \[\frac{1}{2\sqrt{10}}\]
B) \[\frac{1}{\sqrt{10}}\]
C) \[\sqrt{10}\]
D) \[2\sqrt{10}\]
Correct Answer: A
Solution :
\[\omega \,=2\pi f=\,{{\left( \frac{K}{m} \right)}^{1/2}}\] \[K={{(2\pi f)}^{2}}m\] \[\frac{1}{2}\,K{{A}^{2}}=\] total energy of oscillation = 0.5 J \[A=\sqrt{\frac{1.0}{K}}\,=\frac{1}{2\pi f}\,\sqrt{\frac{1.0}{0.1}}\,=\frac{1}{2\sqrt{10}}\]
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