A) 4
B) 13
C) 6
D) 9
Correct Answer: C
Solution :
A closed pipe produces only odd harmonics. The frequency of note emitted from the pipe for v being velocity of sound in air is \[f'=n\left( \frac{\nu }{4l} \right)\] and l is length of pipe. \[\operatorname{f} \,=\,\,n\,\,\times \,\,fundamental frequency\] \[\therefore \] We know that human ear can hear frequencies up to 20.000 Hz, hence \[20,000 =n\,\,\times \,\,1500\] \[\Rightarrow \,\,\,\,\,n=\frac{20,000}{1500}\,\,\approx \,\,13\] Maximum possible harmonics obtained are 1, 3, 5, 7, 9, 11, 13 Hence, man can hear up to 13th harmonic \[=7-1=6\] So, number of overtones heard \[=\text{ }6\]You need to login to perform this action.
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