A) \[37.5{{\pi }^{2}}ergs\]
B) \[3.75{{\pi }^{2}}ergs\]
C) \[375{{\pi }^{2}}ergs\]
D) \[0.375{{\pi }^{2}}ergs\]
Correct Answer: C
Solution :
Kinetic energy \[K=\frac{1}{2}m{{\omega }^{2}}({{a}^{2}}-{{y}^{2}})\] \[=\frac{1}{2}\times 10\times {{\left( \frac{2\pi }{2} \right)}^{2}}[{{10}^{2}}-{{5}^{2}}]\]\[=375\ {{\pi }^{2}}ergs\]
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