An open pipe closed at one end produces its first fundamental note. If the velocity...

JAMB 2003

An open pipe closed at one end produces its first fundamental note. If the velocity of sound in air is P and t the length of the pipe, the frequency of the note is

A. ^2v/_t
B. ^v/_5t
C. ^v/_4t
D. ^v/_2t

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Correct Answer: Option C

Explanation

In vibration in a closed pipe/tube as shown in the figure, fundamental note is produced at the first position of resonance. When the length of the air column L = ^λ/₄; => λ = 4L. Since the open end of the tube is taken as an antinode; and closed end as the node.
Thus the associated frequency is given by
f = ^V/_λ = ^V/_4L
∴ f = ^V/_4L

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