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State Brewster's law . Show that the ref...

State Brewster's law . Show that the reflected and refracted rays are normal to each other at the polarising angle of incidence.

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The tangent of the polarising angle is equal to the refractive index of the medium.

From Brewster.s law
`n=tanthetap=(sintheta_(p))/(costheta_(p))=(sintheta_(p))/(cos(90-theta_(p)))`……………..`(1)`
From Snell.s law
`n=(sini)/(cosr)=(sintheta_(p))/(cosr)`.............`(2)`
From `(1)` & `(2)` we get
`sin(90-thetap)=sinr`
`90-thetap=r` or `thetap+r=90^(@)`
But angle `MON=180^(@)`,
Hence reflected and reffracted rays are perpendicular.
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