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Exercise · Q16

Q.State Malus's law in words and in mathematical form. At what angle between the transmission axes of the polarizer and the analyzer is the transmitted intensity

(a) maximum, and
(b) zero?
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Malus's law states that when plane polarized light of intensity I0I_0 is incident on an analyzer whose transmission axis makes an angle θ\theta with the plane of polarization of the incident light (i.e. with the polarizer's own transmission axis), the intensity of the light transmitted by the analyzer is

I=I0cos⁡2θI=I_0\cos^2\theta

(a) The transmitted intensity is maximum, I=I0I=I_0, when cos⁡2θ=1\cos^2\theta=1, i.e. when θ=0∘\theta=0^\circ -- the transmission axes of the polarizer and analyzer are parallel. …

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