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
B
240Hz
C
320Hz
D
400Hz

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 frequencyso $$f_n=(2n-1)f_1$$; 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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