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

80 H z

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240 H z

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320 H z

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400 H z

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Solution

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

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Velocity of sound in air is 320m/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 :

The correct options are A 80Hz B 240Hz D 400Hzfundamental frequency, f1=Vsound4L=3204=80HzIn one end closed pipes higher order harmonics are odd integral multiples of fundamental frequencyso fn=(2n−1)f1; where n=1,2,3,4..So higher order frequencies are 240,400,560,..Hence options (a),(b) and (d)

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