Unpolarized light is incident upon two ideal polarizing filters that do not have their transmission axes aligned.If 19% Of the light passes through this combination,what is the angle between the transmission axes of the two filters?
A)52°
B)72°
C)0°
D)0°..

Question

Quizplus · Accepted Answer

Malus's law states that the intensity of light passing through a polarizer is given by I = I0 cos^2(theta), where I0 is the initial intensity and theta is the angle between the polarization axis of the polarizer and the polarization of the light. In this case, the first polarizer transmits 50% of the light, so the intensity of the light after passing through the first polarizer is I1 = 0.5I0. The second polarizer transmits 19% of the light that passes through the first polarizer, so the intensity of the light after passing through both polarizers is I2 = 0.19I1 = 0.095I0. Using Malus's law, we can find the angle between the transmission axes of the two filters:cos^2(theta) = I2/I1 = 0.095I0/0.5I0 = 0.19theta = cos^-1(sqrt(0.19)) = 72°

Unpolarized Light Is Incident Upon Two Ideal Polarizing Filters That