Two loudspeakers emit sound of wavelength λ with an initial phase difference π/2. At what minimum distance from O on line AB will a maximum be heard? Image
Options

Question

Two loudspeakers emit sound of wavelength λ with an initial phase difference π/2. At what minimum distance from O on line AB will a maximum be heard? Image

G1 Physics · Accepted Answer

Step 1: Put the wave in y = A sin(ωt ± kx + φ). Step 2: The phase difference between two points separated by Δx is Δφ = kΔx = 2πΔx/λ. Step 3: Substitute the given separation and wave number. Final: C: (25/3) λ.