At different initial positions from an observation point
y1=2sin(2πx1−20πt)
y2=2sin(2πx2−20πt+ϕ)
The amplitude of the resultant wave due to interference of these two waves will be maximum at the observation point if the phase difference is
Δα=2π(x2−x1)+ϕ=±2πk,k=0,1,2,...
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