A 2.0 g string,0.67 m long,is under tension.The string produces a 700 Hz tone when it vibrates in the third harmonic.The speed of sound in air is 344 m/s.The wavelength of the tone in air,in SI units,is closest to:
A)0.49
B)0.55
C)0.61
D)0.67
E)0.45

Question

Quizplus · Accepted Answer

The wavelength of the tone in air is equal to the length of the string divided by the number of harmonics. In this case, the string is vibrating in the third harmonic, so the wavelength is equal to 0.67 m / 3 = 0.223 m. The speed of sound in air is 344 m/s, so the frequency of the tone is equal to the speed of sound divided by the wavelength, or 344 m/s / 0.223 m = 1542 Hz. The closest choice to this value is A) 0.49.

A 20 G String,0