Embibe Experts Solutions for Chapter: Wave Optics, Exercise 1: Exercise - 1

Two coherent monochromatic light beams of intensities $I$ and $4I$ are superposed. The maximum and minimum possible intensities in the resulting beam are,

A two-slit Young's interference experiment is done with monochromatic light of wavelength $6000 \stackrel{\circ }{\mathrm{A}}$. The slits are $2 \mathrm{mm}$ apart. The fringes are observed on a screen placed $10 \mathrm{cm}$ away from the slits. Now a transparent plate of thickness $0.5 \mathrm{mm}$ is placed in front of one of the slits and it is found that the interference pattern shifts by $5 \mathrm{mm}$. The refractive index of the transparent plate is $\frac{k}{10}$, find $k$?

When an unpolarized light of intensity $I_0$ is incident on a polarizing sheet, the intensity of the light which does not get transmitted is:

A single-slit diffraction pattern is obtained using a beam of red light. What happens if red light is replaced by blue light?

The figure shows a glass plate placed vertically on a horizontal table with a beam of unpolarised light falling on its surface at $57°$ with the normal. The electric vectors in the reflected light on the screen $S$ will vibrate with respect to the plane of incidence,

Two point white dots are $1 \mathrm{mm}$ apart on a black paper. They are viewed by an eye having a pupil with diameter $3 \mathrm{mm}$. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [Take wavelength of $\text{light}=500 \mathrm{nm}$.]

The resolving power of a telescope is more when its objective lens has

Interference is observed due to two coherent sources $A$ and $B$ separated by a distance $4\lambda$ along the $y$-axis where $\lambda$ is the wavelength of the source. A detector $D$ is moved on the positive $x$-axis. The number of points on the $x$-axis excluding the points, $x=0$ and $x=\infty$ at which maximum will be observed is