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Question

Why does the wave nature of light allow it to produce a pattern of bright and dark regions when passing
through a narrow slit?

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Explanation

**Incoherent sources** intensity adds I = I₁+I₂, no interference pattern because phase random, two independent sources cannot produce stable interference because phase difference fluctuates rapidly, coherent sources required with constant phase, laser coherent, visibility of fringes requires coherence, degree of coherence determines contrast. Light bends and spreads as waves, with secondary wavelets interfering constructively and destructively, creating diffraction patterns of bright and dark regions. Using Δ = d sinθ, y = n λ D/d, a sinθ = n λ, I = I₀ cos²θ, n = c/v, sinC = 1/n, λ' = λ/n and A = 2a cos(φ/2), calculation gives Bending and interference, illustrating interference, diffraction and polarization principles.

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