When a polaroid sheet is rotated between two crossed polaroids, the transmitted light intensity will be maximum for a rotation of            [2024]

A beam of unpolarised light of intensity $I_0$ is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of ${45}^o$ relative to that of A. The intensity of emergent light is                      [2024].

When unpolarized light is incident at an angle of 60 on a transparent medium from air, the reflected ray is completely polarized. The angle of refraction in the medium is  [2024]

In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of $P_1$ and $P_2$ are orthogonal to each other. The polarizer $P_3$ covers both the slits with its transmission axis at 45° to those of $P_1$ and $P_2$. An unpolarized light of wavelength $\lambda$ and intensity $I_0$ is incident on $P_1$ and $P_2$. The intensity at a point after $P_3$ where the path difference between the light waves from $S_1$ and $S_2$ is $\lambda /3$, is          [2025]

Two polarisers $P_1$ and $P_2$ are placed in such a way that the intensity of the transmitted light will be zero. A third polariser $P_3$ is inserted in between $P_1$ and $P_2$, at the particular angle between $P_2$ and $P_3$. The transmitted intensity of the light passing through all three polarisers is maximum. The angle between the polarisers $P_2$ and $P_3$ is:          [2025]

Two plane polarised light waves combine at a certain point whose electric field component are $E_1=E_{0 }\sin \omega t$, $E_2=E_{0 }\sin (\omega t+\frac{\pi }{3})$. Find the amplitude of the resultant wave.          [2025]