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Question

A string of length l fixed at both ends vibrates in its fundamental mode and transverse waves travel along the string with a velocity V. Sound waves travel in the air with velocity v. What is the wavelength in air of the sound produced by this string?

A
2lvV
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B
2lVv
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C
lVv
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D
2l
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Solution

The correct option is A 2lvV
Frequencyofsoundproducedbystring=n=V2lWavelengthofsoundinair=vn=v(V/2l)=2lvV

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