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Grade 10Wave Motion

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?

Profile image of Hrishant Goswami
12 Years agoGrade 10
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1 Answer

Profile image of Kevin Nash
12 Years ago
Sol. Fundamental frequency f base 1 = 200 Hz Let l base 4 Hz be nth harmonic ⇒ F base2/F base 1 = 14000/200 ⇒ NF base1/F base1 = 70 ⇒ N = 70 ∴ The highest harmonic audible is 70^th harmonic.