An unpolarized light is travelling along Z axis through three polarizing sheets. The polarzing direction of the first and third sheet are respectively parallel to X axis and Y axis whereas that of the second one is at `60^(@)` to the Y axis. Then, the fraction of the initial light intensity that emerges from the system in about,

Options

A. zero
B. `(3I_(0))/(32)`
C. `(I_(0))/(32)`
D. `(9I_(0))/(32)`

Answer

B

Explanation

Let initial intensity be `I_(0)`
After passintg through first sheet
`I_(1) = I_(0)//2`
After passing through second sheet
`I_(2)=(I_(0))/(2)xxcos^(2)30=(I_(0))/(2)(3)/(4)=(3I_(0))/(8)`
After passing through the third
`(3I_(0))/(8) xx (1)/(4) = (3I_(0))/(32)`