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Chapter 33: Q32P (page 1002)

In the figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles ofθ1=θ2=θ3=50°with the direction of theyaxis. What percentage of the initial intensity is transmitted by the system? (Hint: Be careful with the angles.)

Figure:

Short Answer

Expert verified

The intensity of light after the third polarizer isIf=0.045%I0

Step by step solution

01

Given

θ1=θ2=θ3=500

02

Determining the concept

According to Malus law, the intensity of a beam of plane-polarized light after passing through a rotatable polarizer varies as the square of the cosine of the angle through which the polarizer is rotated from the position that gives maximum intensity.

03

Determining the percentage of the initial intensity is transmitted by the system

The intensity of light after the third polarizer is:

If=I02(θ1+θ2)(θ2+θ3)If=0.5×(50+50)(50+50)IfI0=4.5×10−4∴If=0.045%I0

Hence, the intensity of light after the third polarizer isIf=0.045%I0.

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