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Byju's Answer
Standard XII
Physics
Reflection from an Open End
In a pipe ope...
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
λ
4
(quarter wavelength)
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C
λ
2
(half wavelength)
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D
2
λ
(twice wavelength)
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Solution
The correct option is
B
λ
2
(half wavelength)
Frequency of nth mode of vibration in a pipe open at both ends
ν
n
=
n
v
2
L
where
L
is the length of pipe.
For fundamental mode of frequency
n
=
1
∴
ν
1
=
v
2
L
Comparing it with
ν
1
=
v
λ
We get
2
L
=
λ
⟹
L
=
λ
2
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