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Two polaroids P1 and P2 are placed with their pass axes perpendicular to each other. Unpolarised light of intensity I0 is incident on P1. - Physics

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Two polaroids P1 and P2 are placed with their pass axes perpendicular to each other. Unpolarised light of intensity I0 is incident on P1. A third polaroid P3 is kept in between P1 and P2 such that its pass axis makes an angle of 60° with that of P1. Determine the intensity of light transmitted through P1, P2 and P3.

A narrow beam of unpolarised light of intensity I0 is incident on a polaroid P1. The light transmitted by it is then incident on a second polariod P2 with its pass axis making angle of 60° relative to the pass axis of P1. Find the intensity of the light transmitted by P2.

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Solution

As given in the question the polaroid P1 and P2 are placed with their pass axes perpendicular to each other and polaroid P3 placed at 60°with repect to P1.

Therefore,
Intensity of light after falling on first polaroid  P1`I'=I_0/2`

Intensity of light after falling on third polaroid P3

`I'' = I'cos^2(theta)=I_0/2cos^2(60^@)=I_0/8`

Therefore the intensity `I_0/8` will pass through the P3 and angle between P3 and P2 is 30°. because of the condition given in the question.

Intensity of light after falling on second polaroid P=

`I'''= I'' cos^2(theta)=I_0/8cos^2(30^@) = (3I_0)/32`

Concept: Polarisation
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