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A string is rigidly tied at two ends and...

A string is rigidly tied at two ends and its equation of vibration is given by `y=sin2pix.cos2pit`. Then minimum length of string is

A

`1 m`

B

`1/2`m

C

`5m`

D

`2pim`

Text Solution

Verified by Experts

The correct Answer is:
B
Given equation of stationary wave is `y=sin2pixcos2pit`, comparing it with standard equation.
`y=2Asin.(2pix)/(lamda)cos.(2pit)/(T)`
We have `(2pix)/(lamda)=2pix implieslamda=1m`
Minimum distance of string (first mode)
`I_(min)=(lamda)/(2)=(1)/(2)m`
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