Two sources of sound are emitting progressive waves y₁ = 4 708 , t and y₂ = 3 700 , t . The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and wanning are respectively

Step-by-step solution

The given progressive waves are y₁ = 4 708 t and y₂ = 3 700 t . The angular frequencies are ₁ = 708 and ₂ = 700 . The frequencies of the two sources are: f₁ = ₁ 2 = 708 2 = 354 Hz f₂ = ₂ 2 = 700 2 = 350 Hz The number of beats heard per second is: n = f₁ - f₂ = 354 - 350 = 4 The amplitudes of the two waves are A₁ = 4 and A₂ = 3 . The maximum amplitude during waxing is A_ max = A₁ + A₂ = 4 + 3 = 7 . The minimum amplitude during waning is A_ min = A₁ - A₂ = 4 - 3 = 1 . The intensity of a wave is directly proportional