1 MI F Three polarizing plates whose planes are parallel are centered on a commo
ID: 1864491 • Letter: 1
Question
1 MI F Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the t 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 1, = 11.0 units (arbitrary). Calculate the transmitted intensity if when ?-23.0°, ?2-41.0°, and ?)" 63.0°·Hint: Make repeated use of Malus's law ssion axes relative to the common vertical direction are units Need Help?Explanation / Answer
From Malus’s law, the intensity of the light transmitted by the first polarizer is I1 = Iicos2?1.
The plane of polarisation of this light is parallel to the axis of the firstplate and is incident on the second plate. Malus’s law givesthe intensity transmitted by the second plate as
I2 = I1cos2(?2 -?1) = Iicos2?1cos2(?2- ?1). This light is polarized parallel to theaxis of the second plate and is incident upon the third plate. A final application of Malus’s law gives the transmitted intensity as
If = I2cos2(?3 -?2) = Iicos2?1cos2(?2- ?1)cos2(?3 -?2)
With ?1 = 23.0°, ?2 = 41.0°, ?3 = 63.0°, this result yields
If = (11 units)cos2(23.0°)cos2(18.0°)cos2(22.0°)= 7.25 units (Ans)
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