A plane polarized light passed through successive polarizers which are rotated by `30^(@)` with respect to each other in the clockwise direction. Neglecting absorption by the polarizers and given that the first polarizer's axis is parallel to the plane of polarization of the incident light, the intensity of light at the exit of the fifth polarizer is closest to

Options

A. Same as that of the incident light
B. 17.5 % of the incident light
C. 30% of the incident light
D. Zero

Answer

C

Explanation

`I= I_(0) (cos^(2)phi)^(4)= I_(0) xx ((3)/(4))^(4)= 30%`