Two sound waves travelling in the same direction have displacement aligned & y₁=a (0 2 x-50 t) and & y₂=a (0 15 x-46 t) aligned How many times, a listener can hear sound of maximum intensity in one second?

Step-by-step solution

The given displacement equations for the sound waves are y₁ = a (0.2 x - 50 t) and y₂ = a (0.15 x - 46 t) . From the general form y = A (kx - t) , we identify ₁ = 50 and ₂ = 46 . Using = 2 f , we find f₁ = 50 2 = 25 Hz and f₂ = 46 2 = 23 Hz. The beat frequency is given by f_ beat = |f₁ - f₂| = |25 - 23| = 2 Hz. This corresponds to 2 intensity maxima per second.