In Figure a below unpolarized light is sent into a system of three polarizing sh

Question

In Figure a below unpolarized light is sent into a system of three polarizing sheets. The angles ?? ?2 and ?3 of the polarizing directions are measured counterclockwise rom the positive direction of the y axis (they are not drawn to scale). Angles a and ?3 are fixed, but angle ?2 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of ?2. (The scale of the intensity axis is not indicated.) what percentage of the light's initial intensity is transmitted by the system when ?2 = 3207 90° 180°?2

Explanation / Answer

?1 = 0o and ?3 = 90o

Therefore, we can conculde that sheet is perpendicular to one of the other two sheets at ?2 =32o.

Then ?? = ?2 -?1 = 32o and

        ??' =?3 - ?2 = 58o.

Expression for final intensity

If =( I/ 2) cos2(?2 -?1)cos2(?3 -?2 )

Here , I is incident intensity

Take the ratio

If/I = ( 1 /2 )cos2(?2 -?1)cos2(?3 -?2 )

= ( 1 /2 )cos2(32 )cos2(58 )

= 0.1009

=10.09 %

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