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
Verified Correct Answer: C.
Physical Principles & Numerical Solution
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
Source: Myschool Past Questions Archive (Record #12279)