A) \[\frac{\pi }{20}s\]
B) \[\frac{\pi }{10}s\]
C) \[\frac{\pi }{5}s\]
D) \[\frac{\pi }{\sqrt{200}}s\]
Correct Answer: A
Solution :
System is equivalent to parallel combination of springs \\[{{K}_{eq}}={{K}_{1}}+{{K}_{2}}=400\] and \[T=2\pi \sqrt{\frac{m}{{{K}_{eq}}}}=2\pi \sqrt{\frac{0.25}{400}}=\frac{\pi }{20}\]
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