Practice question
Question
What is the wavelength of light in a medium with refractive index 1.25 if its wavelength in air is \(
625 \, \text{nm} \)?
Explanation
**Frequency of light** remains unchanged when refracts from air into water because frequency determined by source, energy E= h f conserved, speed decreases v= c/n, wavelength decreases λ'=v/f= λ/n, energy of wave proportional to amplitude² not speed, intensity I =½ c ε₀ E₀², energy not depend on speed directly, when speed decreases amplitude may change but energy conserved, interference redistributes energy, total energy same, bright regions gain from dark. Wavelength in a medium λ_m = (λₐir/n) . Given λₐir = 625 nm , n = 1.25 , λ_m = (625/1.25) = 500 nm . Using Δ = d sinθ, y = n λ D/d, a
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