Unpolarised light passes through two polaroids, the axis of one is vertical and that of the other is at `45^(@)` to the vertical. Then, the intensity of the transmitted light is

Options

A. `I_(0)/(4)`
B. `I_(0)/(8)`
C. `I_(0)`
D. `I_(0)/(2)`

Answer

A

Explanation

The first polaroid eliminates half the light, so the intensity is reduced by half, i.e., `I_(1)=(I_(0))/(2)` The light reaching the second polaroid is vertically polarised and so its intensity is reduced to` l_(2)=I_(1)(cos 45^(@))^(2) =(I_(1))/(2)`
Thus,`I_(2)=(I_(0))/(4)`i.ethe transmitted light has an intensity one-fourth that of the original.