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

ID: 1414110 • Letter: I

Question

In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 1, 2, and 3 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 1 and 3 are fixed, but angle 2 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 2. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when 2 = 48o?

Explanation / Answer

Let initial intensity of light = Io

Intensity of light from P1 = Io/2

Intensity of light from P2 = (Io/2) * cos2(48)

                                        = 0.2238 * Io

Intensity of light from P3 = (0.2238 * Io) * cos2(48)

                                        = 0.1002 * Io

=> percentage of the light's initial intensity is transmitted by the system = (0.1002 * Io)/Io * 100%

                                                                                                              =   10.02 %