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Question

Velocity of sound in air is $$320 m/s$$. A pipe closed at one end has a length of $$1m$$. Neglecting the end corrections, the air column in the pipe can resonate for sound of frequency :


A
80Hz
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B
240Hz
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C
320Hz
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D
400Hz
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Solution

The correct options are
A $$80 Hz$$
B $$240 Hz$$
D $$400 Hz$$
fundamental frequency, $$f_1 = \dfrac{V_{sound}}{4L} = \dfrac{320}{4} = 80Hz$$
In one end closed pipes higher order harmonics are odd integral multiples of fundamental frequency
so $$f_n=(2n-1)f_1$$; where $$n=1,2,3,4..$$
So higher order frequencies are $$240,400,560,..$$
Hence options (a),(b) and (d)


Physics

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