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Phase Change with Position #8211; At any instant t, if ɸ<sub>1</sub> and ɸ<sub>2</sub> are the phase of two particle whose distances from origin are x<sub>1</sub> and x<sub>2</sub>, respectively. Then, ɸ<sub>1</sub> = (ωt #8211; kx<sub>1</sub>) and ɸ<sub>2</sub> = (ωt #8211; kx<sub>2</sub>) ⇒ ∆ɸ = k (∆x) ⇒ (∆ɸ) ⇒ ɸ<sub>1</sub> #8211; ɸ<sub>2</sub> = k(x<sub>2</sub> #8211; x<sub>1</sub>) So, phase difference, ∆ɸ = 2π/λ times; Path difference (∆x)
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