Light is incident on a polarizer with intensity `I_0`. A second prism called analyzer is kept at a angle of `15^@`, from the first polarizer then the intensity of final emergent light will be

Options

A. (a) `0.5I_0`
B. (b) `0.3I_0`
C. (c) `0.46I_0`
D. (d) `0.83I_0`

Answer

C

Explanation

`I=I_0/2cos^2(15^@)`
`I=I_0/4*2cos^2(15^@)`
`I=I_0/4[1+cos(30^@)]`
`I=I_0/4*[1+sqrt3/2]`
`I=I_0/8[2+sqrt3]`
`I=0.46I_0`