1.

When light of a certain wavelength is incident on a plane surface of a material at a glancing angle 30^@ , the reflected light is found to be completely plane polarized Determine a) refractive index of given material and b) angle of refraction.

Answer»

Solution :a) Angle of incident LIGHT with the surface is `30^@` . The angle of INCIDENCE = `90^@-30^@ = 60^@`. Since reflected light is completely polarized, incidence takes PLACE at polarizing angle of incidence `theta_p`
` therefore theta_p = 60^@ `
USING Brewster.s law
`MU tan theta_p = tan 60^@ rArr mu = sqrt3`
b) From snell.s law
`mu = (sin i)/(sin r) , therefore sqrt3 = (sin 60^@)/(sin r)`
orsin ` = (sqrt3)/(2) xx (1)/(sqrt3) = 1/2 , r = 30^@`


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