A string 40.0 cm long and fixed at both ends of a musicalinstrument oscillates i

Question

A string 40.0 cm long and fixed at both ends of a musicalinstrument oscillates in its n= 1 mode. The speed of waves onthe string is 233m/s, and the speed of sound in air is 348m/s. a. What is the frequency of the emitted soundwave? b. What is its wavelength? A string 40.0 cm long and fixed at both ends of a musicalinstrument oscillates in its n= 1 mode. The speed of waves onthe string is 233m/s, and the speed of sound in air is 348m/s. a. What is the frequency of the emitted soundwave? b. What is its wavelength?

Explanation / Answer

a ) Length of the string is L = 40.0cm                                               = 0.4 m                   speed of the string is v = 233 m/s                      f    = n v / 2 L                           = 1 * 233 m/s / 2 * 0.4 m                           = 291.25 Hz b )   wavelength = v /f                                = 348 m/s / 291.25 Hz                             = 1.19 m

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