A) \[2\pi \sqrt{\frac{m}{k}}\]
B) \[\pi \sqrt{\frac{m}{k}}+\pi \sqrt{\frac{m}{k/2}}\]
C) \[\pi \sqrt{\frac{m}{3k/2}}\]
D) \[\pi \sqrt{\frac{m}{k}}+\pi \sqrt{\frac{m}{2k}}\]
Correct Answer: D
Solution :
[d] When the spring undergoes displacement in the downward direction it completes one half oscillation while it completes another half oscillation in the upward direction. The total time period is \[T=\pi \sqrt{\frac{m}{k}+}\pi \sqrt{\frac{m}{2k}}\]
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