Optics Question 457

Question: Two Polaroids are placed in the path of unpolarised beam of intensity I0 such that no light is emitted from the second Polaroid. If a third polaroid whose polarization axis makes an angle θ with the polarization axis of first polaroid, is placed between these polaroids then the intensity of light emerging from the last polaroid will be

Options:

A) (I08)sin22θ

B) (I04)sin22θ

C) (I02)cos42θ

D) I0cos4θ

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Answer:

Correct Answer: A

Solution:

[a] No light is emitted from the second polaroid, so P1 and P2 are perpendicular to each other

Let the initial intensity of light is I0 .

So intensity of light after transmission from first Polaroid =I02.

Intensity of light emitted from P3,I1=I02cos2θ

Intensity of light transmitted from last Polaroid i.e., from P2=I1cos2(90θ)=I02cos2θ.sin2θ

=I08(2sinθcosθ)2=I08sin22θ



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