A stationary wave is represented by y = 2A sin(kx) cos(ωt). At the point x = λ/8, the local oscillation amplitude is written as NA/√2. Find N.

Question

G1 Physics · Accepted Answer

The local amplitude is Aₗₒc = 2A|sin(kx)|. At x = λ/8, kx = (2π/λ)(λ/8) = π/4. Therefore, Aₗₒc = 2A sin(π/4) = 2A/√2. Thus, Aₗₒc = NA/√2 gives N = 2.