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Question

In a pipe open at both ends the fundamental note is produced when its length is equal to

A
λ (wavelength of sound)
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B
λ4 (quarter wavelength)
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C
λ2 (half wavelength)
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D
2λ (twice wavelength)
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Solution

The correct option is B λ2 (half wavelength)
Frequency of nth mode of vibration in a pipe open at both ends νn=nv2L
where L is the length of pipe.
For fundamental mode of frequency n=1
ν1=v2L
Comparing it with ν1=vλ
We get 2L=λ
L=λ2

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