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Question

In the given figure, the block is displaced slightly and released. Then, the time period of oscillation is:


A
T=2π2mK
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B
T=2πmK
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C
T=2πm2K
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D
T=2πm3K
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Solution

The correct option is C T=2πm2K
If we displace the block on either side of the mean position, we observe that the displacement of each spring is the same. So, it's a parallel combination.



In a parallel combination, the equivalent spring constant is given by,
Keq=K1+K2=2K
Then,
Time period of oscillation
T=2πmKeq=2πm2K
Thus, option (c) is the correct answer.

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