An unpolarised light of intensity `'I_(0)'` is passed through the two Polaroid's placed parallel to each other and their transmission. Axes are inclined at an angle `45`. The intensity of the polarised light after passing through the Ploaroid's will be

Options

A. `(I_(0))/(8)`
B. `(I_(0))/(4)`
C. `(I_(0))/(2)`
D. `(I_(0))/(sqrt2)`

Answer

B

Explanation

The intensity of the light after passing through the first Polarised `= (I_(0))/(2)`. Now, the intensity of the light after getting passed through the second Polaroid will be
`I = (I_(0))/(2) cos^(2) theta`
`= (I_(0))/(2)cos^(2) 45^(@) = (I_(0))/(4)`