Determine the frequency of beats produced in air when two sources of sound are activated, with one emitting a wavelength of 32 cm and the other a wavelength of 32.2 cm . The speed of sound in air is 350 m/s .

Step-by-step solution

Given: Speed of sound, v = 350 m/s Wavelength of first source, ₁ = 32 cm = 0.32 m Wavelength of second source, ₂ = 32.2 cm = 0.322 m The frequencies of the sound produced by the two sources are: f₁ = v ₁ = 350 0.32 = 1093.75 Hz f₂ = v ₂ = 350 0.322 1086.96 Hz The beat frequency is the difference between the two frequencies: f_ beat = f₁ - f₂ = 1093.75 - 1086.96 = 6.79 Hz Rounding to the nearest integer, the beat frequency is approximately 7 Hz .