State the mathematical relation that connects phase difference and path difference…

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

State the mathematical relation that connects phase difference ϕ\phi and path difference Δx\Delta x for two coherent waves of wavelength λ\lambda. (a) ϕ=λ2π Δx\displaystyle \phi = \dfrac{\lambda}{2\pi}\,\Delta x (b) ϕ=πλ Δx\displaystyle \phi = \dfrac{\pi}{\lambda}\,\Delta x (c) ϕ=2πλ Δx\displaystyle \phi = \dfrac{2\pi}{\lambda}\,\Delta x (d) ϕ=Δxλ\displaystyle \phi = \dfrac{\Delta x}{\lambda}

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