wave_mechanics organ_pipe_vibration_of_air_column Question 44

Question: An open pipe of length 33 cm resonates with frequency of 100 Hz. If the speed of sound is 330 m/s, then this frequency is

[RPMT 2002]

Options:

A) Fundamental frequency of the pipe

B) Third harmonic of the pipe

C) Second harmonic of the pipe

D) Fourth harmonic of the pipe

Show Answer

Answer:

Correct Answer: C

Solution:

Frequency of p th harmonic $ n=\frac{pv}{2l} $

Therefore $ p=\frac{2ln}{v}=\frac{2\times 0.33\times 1000}{330}=2 $