Question

A beam of unpolarised light of intensity i0 is passed through a polaroid a and then through another polaroid b which is oriented so that its principal plane makes an angle of 45 relative to that of a. The intensity of the emergent light is

Answer 1

The intensity of the emergent light is I0 / 4.

Explanation:

Given data:

Intensity of unpolaroid light = i0

Angle "θ" = 45°

(The angle between the polarization axes of the polaroids)

Upon passing through the first polaroid, intensity of light becomes half.

Using Malus’ Law : I=I0 / 2 cos^2θ

I0 = I0 / 2(I /√2)^2 =I0 / 4

Hence the intensity of the emergent light is I0 / 4.

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