JAMB - Physics (2003 - No. 15)

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

^2v/_t

^v/_5t

^v/_4t

^v/_2t

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

JAMB - Physics (2003 - No. 15)

Explanation

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