Q29 of 117 Page 10

Light, of wavelength of 500 nm in air, enters a glass plate of refractive index 1.5. 
Find   
(i) speed    
(ii) frequency and     
(iii) wavelength of light in glass. 
Assume that the frequency of light remains the same in both media.?

Wavelength λ = 500 nm = 500 × 10-9 m
Refractive index of the glass n = 1.5
(i) We know that n =
    ∴ vg = = 2 × 108 m/s
(ii) We know that c = ν λ
    or ν =
          = 6 × 1014 Hz
(iii) If λ g is the wavelength of light in glass, then
     vg = ν λ g
    λ g =
        = 3.333 × 10-7 m = 333.3 nm.

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