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692.


Problem 48.6 (RHK)


A beam of linearly polarized light strikes two polarizing sheets. The characteristic direction of the second is with respect to the incident light. The characteristic direction of the first is at angle with respect to the incident light. We have to find angle for a transmitted beam intensity that is 0.100 times the incident beam intensity.


Solution:           Click For PDF Version

Let the intensity of the linearly polarized incident beam be . It is given that the characteristic direction of the first is at angle with respect to the incident light. By the law of Malus the intensity of the beam after it has passed through the first polarizing sheet will change to

.

The characteristic direction of the second polarizing sheet with respect to the first sheet will be , as the characteristic direction of the second is with respect to the incident polarized light. The intensity of the transmitted beam when it emerges from the second polarizing sheet will be given by

It is given that

Therefore,