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Q.

Unpolarized light falls on two polarizing sheets placed one on top of the other. What must be the angle between the characteristic directions of the sheets if the intensity of the transmitted light is one  third of intensity of the  incident beam ?

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a

cos125

b

cos152

c

cos132

d

cos123

answer is D.

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Detailed Solution

Intensity of the light transmitted through first polarizer I1=I02

I0=Intensity of the incident unpolarized light, Intensity of the light transmitted through the second polarizer is I2=I1cos2θ

I2=I1cos2θ=I02cos2θ=I03

cosθ=23

θ=cos123 

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