When plucked,a 0.62-m guitar string produces a sound wave with a fundamental frequency of 196 Hz.The speed of sound in air is 343 m/s.Determine the ratio of the wavelength of the sound wave to the wavelength of the waves that travel on the string.
A)0.071
B)0.28
C)0.49
D)1.4
E)2.0

Question

Quizplus · Accepted Answer

The wavelength of the sound wave in air is calculated using the speed of sound and frequency: λ_air = v/f = 343/196. The wavelength of the wave on the string is twice the length of the string: λ_string = 2 * 0.62. The ratio is λ_air/λ_string = (343/196)/(2*0.62) = 1.4.

When Plucked,a 0