# Light after a Polarizer Question

## Homework Statement

Initially unpolarized light with an intensity of 240W/m2 is incident on a series of two polarizers. What should be the angle between to the axes of the two polarizers such that the transmitted intensity after the second polarizer is 37.5% of the incident one?

## Homework Equations

I=I0cos2$$\theta$$

## The Attempt at a Solution

I1=.5Iocos2$$\theta$$ (unpolarized light is reduced by halve after the first polarizer)
this can also be written at 2I1=Io

We are given that I2=0.375I1
2I1=Io so I2 really equals 0.75I1

0.75I1 = I1cos2$$\theta$$
0.75=cos2$$\theta$$
$$\theta$$ = 30 degrees

Did I do this correctly?