A mixture of plane polarised and unpolarised light falls normally on a polarising sheet. On rotating the polarising sheet about the direction of the incident beam, the transmitted intensity varies by a factor 4. Find the ratio of the intensities `I_(P)` and `I_(0)` respectively of the polarized and unpolarised components in the incident beam. Next the axis of polarising sheet is fixed at an angle of `45^(@)` with the direction when the transmitted intensity is maximum. Then obtain the total intensity of the transmitted beam in terms of `I_(0)`.
`[(3)/(2),(5I_(0))/(4)]`