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Unpolarized light with an intensity of 26.4 passes through a polarizer whose transmission axis is vertically...

Unpolarized light with an intensity of 26.4 passes through a polarizer whose transmission axis is vertically oriented. What is the direction of polarized beam and intensity of the transmitted light? If the polarizer’s transmission axis is at an angle of 69.0° with the vertical, what is the intensity of the transmitted light and its?

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Expert Solution

Let be the intensity of the unpolarized light incident on the polarizing sheet. Let be the angle between the polarizing direction of the sheet and the direction of vibration of the electric vector of the incident light. By Malus' law, the intensity of the plane-polarized light transmitted by the sheet is given by,

As the incident light is unpolarized, the electric vector in it vibrates randomly in all possible directions in a plane perpendicular to the direction of propagation. Hence we shall put average value of in the above equation. Thus,

This is independent of the transmission axix orientation with the vertical direction. Thus in both the cases the intensity of the transmitted light will be,

genius_generous answered 2 years ago
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