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Unpolarised Light is Incident on a Polaroid. How Would the Intensity of Transmitted Light Change When the Polaroid is Rotated? - Physics

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Question

Unpolarised light is incident on a polaroid. How would the intensity of transmitted light change when the polaroid is rotated?

Solution

If the unpolarised light is incident on a Polaroid the intensity is reduced by half. Even if the Polaroid is rotated by angle θ the average over cos2θ = ½. Thus from Malus’ law: I = I0cos2θ

Or, = < I0cos2θ > = I0< cos2θ > = I0/2

Thus, the intensity of the transmitted light remains unchanged when the Polaroid is rotated.

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