$A$ polaroid is placed at $45^{\circ}$ to an incoming linearly polarized light of intensity $I_0$. The intensity of light passing through the polaroid after polarization will be:

$A$ polarizer-analyser set is adjusted such that the intensity of light coming out of the analyser is $10 \%$ of the original intensity. Assuming that the polarizer-analyser set does not absorb any light,the angle by which the analyser needs to be rotated further to reduce the output intensity to zero is.....$^o$

The graph showing the dependence of intensity of transmitted light on the angle between polariser and analyser is ($I_0$ is intensity of plane polarised light)

Two polaroids $A$ and $B$ are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now,another polaroid $C$ is placed between $A$ and $B$ bisecting the angle between them. If the intensity of unpolarised light is $I_0$,then the intensity of transmitted light after passing through polaroid $B$ will be:

When light of an unknown polarization is examined with a polaroid, it is found to exhibit maximum intensity $I_0$ along the $y$-axis and minimum intensity $\frac{2I_0}{3}$ along the $x$-axis. The intensity transmitted through a polaroid with pass axis at $45^{\circ}$ to the $y$-axis (in the $x$-$y$ plane) is:

$A$ polaroid is placed at $45^o$ to an incoming light of intensity $I_0$. Now the intensity of light passing through the polaroid after polarisation would be