Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of (a) reflected, and (b) refracted light? Refractive index of water is 1.33.
Given, (a) For reflected light,Wavelength is going to remain the same for incident and reflected light. Wavelength, λ = 589 nm = 589 × 10-9m Frequency of light, v = cλ = 3 × 108589 × 10-9 = 5.09 × 1014Hz.Speed of lightwill remain invariant in two media. Therefore, v = c = 3 × 108 m/s (b) For refracted light,Refractive index of water w.r.t. air, μωa = vavω i.e., μωa = vaλavωλω ∴ va = vωSo, wavelength of light λω = λaμωa = 589 × 10-91.33 = 4.42 × 10-7m As frequency remains unaffected on entering another medium, therefore,νω = νa = 5.09 × 1014 Hz Speed,v' = vaμω = 3 × 1081.33 = 2.25 × 108 m/s. i.e., speed of the light has decresed when it entered the second medium.
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