$A$ polariser is used to

After passing through a polariser,a linearly polarised light of intensity $I$ is incident on an analyser making an angle of $30^{\circ}$ with that of the polariser. The intensity of light emitted from the analyser will be

Unpolarised light falls on two polarizing sheets placed one on top of the other. What must be the angle between the characteristic directions of the sheets if the intensity of the final transmitted light is one-third the maximum intensity of the first transmitted beam?

An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of $30^o$,$60^o$,and $30^o$ with the $y$-axis in the same sense. What fraction of the initial intensity is transmitted by the system?

An unpolarised beam of intensity $I_{0}$ falls on a polaroid. The intensity of the emergent light is

$A$ mixture of plane-polarized and unpolarized light falls normally on a polarizing sheet. On rotating the polarizing sheet about the direction of the incident beam,we find that the ratio of maximum to minimum transmitted intensity is $4$. Find the ratio of the intensities $I_P$ and $I_0$,respectively,of the polarized and unpolarized components in the incident beam.