Musical Instruments: A man wants to learn to play guitar. He finds a model he likes for $729. He places a finger on a string so that 0.50 m of the string is free tovibrate, but clamped at both ends. He does not know it, but the speed of waves in the string is 396 m/s.(a) When he plucks the string, what pitch (frequency) will it produce?(b) The man really likes the guitar – and the note he played. He still has $12.35 after his purchase, so he buys some wood to build a resonant cavity to amplify thissound: a wooden box open at one end. How long should he make the box?Assume the speed of sound in air is 340 m/s.

Given:effective length of the string, L = 0.5 mspeed of sound in string, vs = 396 m/sresonant…

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