When measured with a light meter, the light intensity from a randomly polarized

Question

When measured with a light meter, the light intensity from a randomly polarized source is 74.0 Cd. a) What is in Cd the intensity reading on the meter when a single ideal polarizer is inserted between the light source and the meter with the axis of the polarization of the polarizer parallel to the vertical? b) What is in Cd the intensity reading on the meter when a second polarizer is placed between the first and the meter with their axis of polarization perpendicular to each other (the first polarizer is still parallel to the vertical)? c) What is in Cd the intensity reading on the meter if we rotate the first polarizer by 45 degree relative to the vertical keeping the second polarizer oriented such that its axis is along the horizontal? d) What is in Cd the intensity reading on the meter if we rotate the first polarizer by 29.0 degree relative to the vertical instead of 45 degree keeping the second polarizer oriented such that its axis is along the horizontal?

Explanation / Answer

1) I1 = 74/2 = 37 Cd

2) I2= I1*[Cos(90 degrees)]^2 = 0 Cd

3) I3= I1*[Cos(45 degrees)]^2 = 37/2 Cd = 18.5 Cd

4) I3= I1*[Cos(90-29 degrees)]^2 = 37*[Cos(61 degrees)]^2 Cd = 8.969 Cd

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