Unpolarised light is passed through a polaroid P1. When this polarised beam passes through another polaroid P2 and if the pass axis of P2 makes angle θ with the pass axis of P1, then write the expression for the polarised beam passing through P2. Draw a plot showing the variation of intensity when θ varies from 0 to 2π.

When unpolarised light passes through the polariser P1 the intensity drops to half that is `I_o/2` and when this polarised light passes through the polariser P2 the instensity of the emitted light is `I=I_0/2cos^2 theta` (θ is the angle between polariser P1 and P2) The instensity distrubution is as shown below:

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Syllabus

Unpolarised light is passed through a polaroid P1. When this polarised beam passes through another polaroid P2 and if the pass axis of P2 makes angle θ with the pass axis of P1

Question

Unpolarised light is passed through a polaroid P₁. When this polarised beam passes through another polaroid P₂ and if the pass axis of P₂ makes angle θ with the pass axis of P₁, then write the expression for the polarised beam passing through P₂. Draw a plot showing the variation of intensity when θ varies from 0 to 2π.

Solution

When unpolarised light passes through the polariser P₁ the intensity drops to half that is `I_o/2` and when this polarised light passes through the polariser P₂ the instensity of the emitted light is

`I=I_0/2cos^2 theta`

(θ is the angle between polariser P₁ and P₂)

The instensity distrubution is as shown below: