A sinusoidal wave has wavelength 4 m. Two points of the medium are separated by 1 m along the direction of propagation and are observed at the same instant. If their phase difference is Nπ/2, find N.
Physics · Wave Motion · general equation of wave
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Question

A sinusoidal wave has wavelength 4 m. Two points of the medium are separated by 1 m along the direction of propagation and are observed at the same instant. If their phase difference is Nπ/2, find N.

G1 Physics · Accepted Answer

For two points observed at the same instant, Δφ = kΔx = (2π/λ)Δx. Substitute λ = 4 m, Δx = 1 m. Then, Δφ = (2π/4)(1) = π/2. Therefore, N = 1.