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A steel wire fixed at both ends has a fu...

A steel wire fixed at both ends has a fundamental frequency of 200 Hz. A person can hear sound of maximum frequency 14 kHz. What is the highest harmonic that can be played on this string which is audible to the person ?

Text Solution

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Fundamental frequency
`F_1=200Hz`
Let `F_2Hz`be nth harmonic. `
`rarr `F_2/F_1=14000/200`
`rarr (NF_1)/F_1=70`
`rarr N=70`
`:.` The highest harmonic audible is 70th harmonic.
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