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Question

# (a) Define wavefront. Use Huygens' principle to verify the laws of refraction. (b) How is linearly polarised light obtained by the process of scattering of light ? Find the Brewster angle for air-glass interface, when the refractive index of glass =1.5.

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Solution

## (a) Wavefront : A wavefront is a continuous locus of all the particles of a medium which are vibrating in the same phase. In ΔAA′B, sin i=A′BAB ...(i) In ΔAB′B, sin r=AB′AB ...(ii) Dividing equation (i) by (ii), sin isin r=A′B/ABAB′/AB sin isin r=A′BAB′ =ctvtsin isin r=cv=μ This is the law of refraction. (b) When a beam of white light is passed through a medium containing particles whose size is of the order of wavelength of light, then the beam gets scattered. When the scattered light is viewed through an analyser in a direction at the right angle to the direction of incidence, it is found to be plane polarised. This is called polarisation by scattering. We know that, tanip=μ⇒ tanip=1.5⇒ ip=tan−1(1.5)=56.31∘

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