wave_mechanics organ_pipe_vibration_of_air_column Question 16

Question: A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1.1 kHz source? (Take speed of sound in air = 330 ms?1)

[AMU 2002]

Options:

A) First

B) Second

C) Third

D) Fourth

Show Answer

Answer:

Correct Answer: A

Solution:

Fundamental frequency of open pipe $ n _{1}=\frac{v}{2l}=\frac{330}{2\times 0.3}=550 $

$ Hz $ First harmonic = $ 2\times n _{1}=1100 $

$ Hz $ .

= $ 1.1kHz $