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Three polarizing plates whose planes are parallel are centered on a common axis. The directions of...

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 14.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 23.0

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Expert Solution

From Malus Law,              I = Io cos2 ( @)

Intensity Of light through first Polarizer , I1 = Ii * cos2 ( @1 )

I1 = Ii * cos2 ( 23)

Light transmitted through first polarizer is polarized 230 from vertical, Angle between it and second Polarizer is    ( 45-23 = 22 0 )

So Intensity of light through second polarizer, I2 = I1 * cos2 ( 22)

I2 = Ii *cos2(23) *cos2 (22)

The angle between third polarizer and second polarizer is ( 59 - 45 = 14)

I3 = If = I2 *cos2 ( 14)

If = Ii * cos2 ( 23)*cos2 (22)*cos2 ( 14)

If = 9.589 units

genius_generous answered 2 years ago
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