Question

If "38 %" of the light passes through this combination of filters, what is the angle between the transmission axes of the filters

Answer 1

52°

Step-by-step explanation:

The initial intensity
`I_(0)` =
`I`

The final intensity
`I_(f)` = 38% of
`I` = 0.38

From the polarizing equation

`I_(f) = I_(0) cos^(2)`θ

substituting values, we have

`0.38I = I cos^(2)`θ

0.38 =
`cos^2`θ

cosθ =
`√(0.38)`

cosθ = 0.6164

θ =
`cos^(-1)` 0.6164

θ = 51.9 ≅ 52°