wave_mechanics organ_pipe_vibration_of_air_column Question 27

Question: What is minimum length of a tube, open at both ends, that resonates with tuning fork of frequency 350 Hz ?

[velocity of sound in air = 350 m/s] [DPMT 2004]

Options:

A) 50 cm

B) 100 cm

C) 75 cm

D) 25 cm

Show Answer

Answer:

Correct Answer: A

Solution:

Fundamental frequency $ n=\frac{v}{2l} $

$ \Rightarrow 350=\frac{350}{2L} $

$ \Rightarrow L=\frac{1}{2}m=50cm.

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