In a pipe open at both ends the fundamental note is produced when its length is equal to
λ (wavelength of sound)
λ2 (half wavelength)
λ4 (quarter wavelength)
2λ (twice wavelength)
A
λ (wavelength of sound)
B
2λ (twice wavelength)
C
λ4 (quarter wavelength)
D
λ2 (half wavelength)
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Solution
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The correct option is Cλ2 (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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