If a polaroid is kept in the path of uniformly unpolarised light,the ratio of the intensity of the transmitted light to the intensity of the light when the polaroid was not kept in its path is:

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 unpolarized light beam of intensity $I_0$ is passed through a first polaroid $A$ and then through a second polaroid $B$. If the principal plane of polaroid $B$ makes an angle of $45^{\circ}$ with that of $A$,find the intensity of the emerging light.

$A$ cylindrical tube of length $0.2 \,m$ and radius $R$ with sugar solution of concentration $C$ produces a rotation of $\theta$ in the plane of vibration of a plane-polarized light. The same sugar solution is transferred to another tube of length $0.3 \,m$ of the same radius. The remaining gap is filled by distilled water. Now, the optical rotation produced is:

Which of the following diagrams represents the variation of the electric field vector magnitude with time for a circularly polarized light?

Consider the following statements $A$ and $B$ and identify the correct answer:
$A$. Polarised light can be used to study the helical surface of nucleic acids.
$B$. Optical axis is a direction and not any particular line in the crystal.