A violin string 16.8 cm long and fixed at both ends oscillatesin its n = 4 mode.

Question

A violin string 16.8 cm long and fixed at both ends oscillatesin its n = 4 mode. The speed of waves on the string is 210m/s, and the speed of sound in air is 348 m/s. What are(a) the frequency and (b) thewavelength of the emitted sound wave? I dont understand how to use the n=4   within theproblem any help is appreciated! thanks A violin string 16.8 cm long and fixed at both ends oscillatesin its n = 4 mode. The speed of waves on the string is 210m/s, and the speed of sound in air is 348 m/s. What are(a) the frequency and (b) thewavelength of the emitted sound wave? I dont understand how to use the n=4   within theproblem any help is appreciated! thanks

Explanation / Answer

L = 6.8 cm, n = 4, u = 210 m/s, v = 348 m/s. for a string fixed at both ends, L = n/2, so =2L/n (a) the frequency f = u/ = nu/(2L) =6176 Hz (b) the wavelength of the emitted sound wave = v/f= 0.056 m

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