In Figure below, unpolarized light is sent into a system of three polarizing she

Question

In Figure below, unpolarized light is sent into a system of three polarizing sheets. The angles theta_1, theta_2, and theta_3 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles theta_1and theta_3 are fixed, but angle theta_2 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of theta_2. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when theta_2 = 42 degree ? Number 11.0377 Units percent the tolerance is +/-3%

Explanation / Answer

use Malus lawas I = Io cos^2 theta

after passing through first polarizer Intneisty reduces by 50%

so

I1 = 0.5 Io

after passing through second polarizer

angle = 42 deg

so

I2 = I1 cos^2 42

I2 = 0.5 Io cos^2 (42)

I2 = 0.276 Io

theta3 = 90-42 = 48 deg

so

I3 = I2 cos^2 48

I3 = 0.276 Io* cos ^2(48)

I3 = 12.35 % (ANSWER)

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