Two Polaroids `P_(1)` and `P_(2)` are placed with their axis perpendicular to eachother. Unpolarised light `I_(0)` is nicident on `P_(1)`. A third polaroid `P_(3)` is kept in between `P_(1)` and `P_(2)` such that its axis makes an angle `45^(@)` with that of `P_(1)`. The intensity of transmitted light through `P_(2)` is

Options

A. `(I_(0))/(2)`
B. `(I_(0))/(4)`
C. `(I_(0))/(8)`
D. `(I_(0))/(16)`

Answer

C

Explanation

According to the question

From the above diagram, intensity transmitted through `P_(3)`
`I_(2)=(I_(0))/(2)cos^(@)xx(1)/(sqrt(2))^(2)rArrI_(3)=(I_(0))/(4)xx(1)/(2)rArrI_(3)=(I_(0))/(8)`