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Two coherent plane light waves propagating with a divergence angle ψ << 1 fall almost normally on a screen. The amplitudes of the waves are equal. Demonstrate that the distance between the neighbouring maxima on the screen is equal to Δx = λ/ψ, where λ is the wavelength.

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We can think of the two coherent plane waves as emitted from two coherent point sources very far away. Then

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