Optics Question 574

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

[UPSEAT 2005]

Options:

A) (I08)sin22θ

B) (I04)sin22θ

C) (I02)cos4θ

D) I0cos4θ

Show Answer

Answer:

Correct Answer: A

Solution:

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(90oθ) = I02cos2θ.sin2θ

=I08

(2sinθcosθ)2 = I08sin22θ .



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