A simple harmonic progressive wave is represented by the equation y=8 sin 2π(0.1x−2t) where x and y are in centimeters and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm along the x-direction is
72∘
y=8sinπ(x10−2t)2 given by comparing with
y=a sin 2π(tT−xλ)
λ=10cm
So phase difference = (2πλ)×path difference
=2π10×2=25×180∘=72∘