Wave Optics Questions

An unpolarized light beam travelling in air is incident on a medium of refractive index $1.73$ at Brewster's angle. Then:

The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at $22.5^{\circ }$ from the polarization axis of one of the polaroids, is ($I_0$ is the intensity of polarised light after passing through the first polaroid):

When exposed to sunlight, thin films of oil on water often exhibit brilliant colours due to the phenomenon of:

In case of linearly polarised light, the magnitude of the electric field vector:

Assertion: The clouds in sky generally appear to be whitish.Reason: Diffraction due to clouds is efficient in equal measure at all wavelengths.

A beam of light of $\lambda =600\text{nm}$ from a distant source falls on a single slit $1\text{mm}$ wide and the resulting diffraction pattern is observed on a screen $2\text{m}$ away. The distance between first dark fringes on either side of the central bright fringe is:

In the Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is $\lambda$ is $K$, ($\lambda$ being the wave length of light used). The intensity at a point where the path difference is $\lambda /4$, will be:

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the midpoint of the slit is:

Two slits in Young’s experiment have widths in the ratio $1:25$. The ratio of intensity at the maxima and minima in the interference pattern, $\frac{I_{max}}{I_{min}}$ is:

The intensity at the maximum in a Young’s double slit experiment is $I_0$. Distance between two slits is $d=5\lambda$, where $\lambda$ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance $D=10d$?

In a diffraction pattern due to a single slit of width $a$, the first minimum is observed at an angle $30^{\circ }$ when light of wavelength $5000\text{A˚}$ is incident on the slit. The first secondary maximum is observed at an angle of:

A linear aperture whose width is $0.02\text{cm}$ is placed immediately in front of a lens of focal length $60\text{cm}$. The aperture is illuminated normally by a parallel beam of wavelength $5\times 10^{-5}\text{cm}$. The distance of the first dark band of the diffraction pattern from the centre of the screen is:

The interference pattern is obtained with two coherent light sources of intensity ratio $n$. In the interference pattern, the ratio $\frac{I_{\text{max}}-I_{\text{min}}}{I_{\text{max}}+I_{\text{min}}}$ will be: