A simple harmonic progressive wave is represented as y = 0.03 s i n π 2 t - 0.01 x m . At a given instant of time, the phase difference between two particles 25 m apart is

Step-by-step solution

The given equation of SHM wave is y = 0.03 s i n π 2 t - 0.01 x m = 0.03 sin ⁡ 2 π t - 0.01 π x m Comparing it with general equation, we get y = asin ⁡ ω t - k x Where, k = 2 π λ ⇒ λ = 200 m The phase difference between two particles is given by Δ ϕ = k x = 2 π λ × x … (i) Here, x = 25 m Substituting the values of x an λ in Eq. (i), we get Δ ϕ = 2 π 200 × 25 = π 4 r a d