4 polarizing sheets are placed one behind the other, each onemaking an angle of

Question

4 polarizing sheets are placed one behind the other, each onemaking an angle of 20o with the preceding one. A polarized beam of light with itselectric field making an angle of 30o with the first polarizing sheet impinges on thisassembly. What is the ratio of the initial and final intensities? What is the direction ofthe electric field (with respect to initial direction) in the emerging light beam 4 polarizing sheets are placed one behind the other, each onemaking an angle of 20o with the preceding one. A polarized beam of light with itselectric field making an angle of 30o with the first polarizing sheet impinges on thisassembly. What is the ratio of the initial and final intensities? What is the direction ofthe electric field (with respect to initial direction) in the emerging light beam

Explanation / Answer

4 polarizingsheets are placed one behind the other, each one making an angleof 20o with thepreceding one. A polarized beam of light with its electric fieldmaking an angle of 30o with the first polarizing sheet impinges onthis assembly. What is the ratio of the initial and finalintensities? What is the direction of the electric field (withrespect to (initial direction) in the emerging light beam
after the first plate
I=Iocos2=Iocos230=0.75 Io
after the second plate
I=Iocos2=0.75Iocos220=0.6622Io
after the third plate
I=Iocos2=0.6622Iocos220=0.5847Io
after the fourth plate
I=Iocos2=0.5847Iocos220=0.5163Io
ratio of theinitial and final intensities =1/0.5163=1.9368
direction =60 degree wrt to the initial direction.

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