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

Question

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 = 11.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 25.0°, ?2 = 39.0°, and ?3 = 65.0°. Hint: Make repeated use of Malus's law.

If =_________________ units

Explanation / Answer

Ii = 11.0 units, angle A1 = 25.0°, A2 = 39.0°, A3 = 65.0°.
after 1st plate, intensity = Ii* [cos(A1)]2 = 9.035
after 2nd plate, intensity = Ii * [cos(A1)]2 * [cos(A2- A1)]2 = 8.506
after 3rd plate, intensity lf = Ii* [cos(A1)]2* [cos(A2 - A1)]2* [cos(A3 - A2)]2 =
= 6.87units

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