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#wave nature

2 public questions tagged with this topic.

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

**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

Ref: NCERT > Physics Book > Wave Optics > Optical Phenomena and Applications

Why does light exhibit both interference and diffraction despite traveling in straight lines in everyday observations?

**Single-slit pattern** intensity I = I₀ (sinα/α)², α=π a sinθ/λ, central maximum at α=0, minima at α=nπ, so a sinθ=nλ, width increases with λ and D decreases with a, for a=15 μm λ=750 nm first minimum sinθ=750/15000=0.05 θ≈2.87°, angular width of central maximum 2θ≈5.74°. Light’s wavelength is very small compared to typical objects, making straight-line behavior dominant, but wave effects like interference and diffraction emerge with small apertures. 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 Small wavelength

Ref: NCERT > Physics Book > Wave Optics > Diffraction - Single-Slit and Central Maximum