Two 'crossed' polaroids A and B are placed in the path of a light-beam. In between these, a third polaroid is C is placed whose polarisation axis makes an angle `theta` with a polarisation axis of the polaroid A. If the intensity of light emerging from the polaroid a is `I_(o)` then show that the intensity of light emerging from polaroid B will be `1/4I_(o) sin^(2)theta.`

Options

A. `(I_(0))/(4)sin^(2)2phi`
B. `(I_(0))/(4)sin^(2)phi`
C. `(I_(0))/(4)cos^(2)phi`
D. `(I_(0))/(2)cos^(2)2phi`

Answer

A