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A 60.0 cm guitar string under a tension of 50.0 N has a mass per unit length of 0.100 `g//cm.` What is the highest resonance frequency of the string that can be heard by a person able to hear frequencies upto 20000 Hz? |
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Answer» Correct Answer - A Fundamental frequency, `f= v/(2l) = sqrt(T//mu)/(2l)` `= sqrt((50)//(0.1 xx 10^-3//10^-2)/(2 xx 0.6)` ` = 58.96 Hz` Let, n th harmonic is the hightest frequency, then (58.93)n = 20000 `:. N= 339.38` Hence, 339 is the highest frequency. `:. f_(max) = (339)(58.93) Hz = 19977 Hz.` |
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