You can\'t rotate the plane of polarization of a beam of light by 90° with one p

Question

You can't rotate the plane of polarization of a beam of light by 90° with one polarizer, since the resultant intensity will be 0. However, if you use more than one polarizer, in combination, you can. If I put two polarizers in the path of the beam, with their transmission axes at angles of 45° and 90°, respectively, to the original plane of polarization, what will the be the beam's intensity (a) after exiting the first polarizer; (b) after exiting the combination? (c) Repeat (b) if the the angle is 30° instead of 45°.

Explanation / Answer

When we incident a plane polarized light of intensity I0 then it passing through the polarizer which making an angle 45 deg then from Malus law          I1 = I0 cos^          I1 = (I0) cos^2(45)               = I0/2 now this will alowed through the polarizer          I2 = I1 cos^2 90               = 0 similarly when the we placed 30 deg also we get zero by conbination.               

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