Question

Unpolarized light is incident upon two ideal polarizing filters that do not have their transmission axes aligned. If 14% of the light passes through this combination, what is the angle between the transmission axes of the two filters?
A) 58 DegreesB) 75 DegreesC) 86 DegreesD) 82 Degrees

Answer 1

Answer:

A) 58 degree

Explanation:

When unpolarized light passing through first polarizer then the intensity of light becomes half as it will get polarized

So let say the intensity of unpolarized light is "Io" then after passing through first polarizer the intensity will become half

Now when this polarized light passing through another polarizer then the intensity of light is given by Malus law

As per Malus law if the angle between two polarizer axis is inclined at some angle

then it is given as

$I = I_0 cos^2\theta$

$0.14I_0 = 0.5I_0cos^2\theta$

$0.28 = cos^2\theta$

$\theta = 58 degree$