the total number of harmonics audible to a person having normal hearing, if the length of pipe closed at one end is 17 cm and velocity of sound in air at 340 metre per second, is-
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The total number of harmonics audible to a person = 20
The general formula for frequency of pipe opened at one end , frequency = (2n-1)v/4l
n belongs to N.
l = 17 cm = 0.17 m
v = 340 m/s
The audible range of human ear is between 20 Hz and 20000 Hz.
The maximum frequency produced by the closed pipe should be less than 20000 Hz.
(2n-1)v/4l < 20000
=> (2n -1)340/4× 0.17 < 20000
=> (2n -1) < (20000 × 0.17 × 4)/340
=> (2n-1) < 40
=> 2n < 41
=> n < 20.5
The total number of harmonics audible to a person = 20
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