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In the situation as shown in figure time...

In the situation as shown in figure time period of small vertical oscillation of block will be - (String, springs and pulley are ideal)

A

`2picosthetasqrt(m/(2k))`

B

`2picosthetasqrt(m/(2k))`

C

`2pisinthetasqrt(m/(2k))`

D

`2picosecthetasqrt(m/(2k))`

Text Solution

Verified by Experts

The correct Answer is:
B
Let block displaced through a small displacement `x` in downward direction and eleongation in spring `=x_(1)` then
Restoring force `F=2kx_(1)costheta`
`F=2kcos^(2)thetax`
Hence `T=2pisqrt(m/(2kcos^(2)theta))=2pisecthetasqrt(m/(2k))`
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