wave_mechanics organ_pipe_vibration_of_air_column Question 45

Question: In a resonance tube the first resonance with a tuning fork occurs at 16 cm and second at 49 cm. If the velocity of sound is 330 m/s, the frequency of tuning fork is

[DPMT 2002]

Options:

A) 500

B) 300

C) 330

D) 165

Show Answer

Answer:

Correct Answer: A

Solution:

For closed pipe $ l _{1}=\frac{v}{4n} $ ;$ l _{2}=\frac{3v}{4n} $

Therefore $ v=2n(l _{2}-l _{1}) $

Therefore $ n=\frac{v}{2(l _{2}-l _{1})}=\frac{330}{2\times (0.49-0.16)}=500Hz $