Embibe Experts Solutions for Exercise 4: Assignment

A ray of light of intensity $I_0$ is incident on a parallel glass slab at point $P$ as shown. It undergoes partial reflection and refraction. At each reflection $40\%$ of incident energy is reflected. The rays $PQ$ and $P\text{'}Q\text{'}$ undergo interference. If for constructive interference, intensity is $I_1$ and for destructive interference, intensity is $I_2,$ then

In the arrangement shown in the figure, the point source $S$ oscillates about point $O$ along central axis in small amplitude. The fringes are formed on the screen

Two coherent point sources $A$ and $B$ are at separation $d=\frac{3\lambda }{2},$ where $\lambda$ is wavelength of light emitted by these sources. The oscillations of source $B$ lag in phase behind the oscillations of source $A$ by $\pi .$ The point $P$ is at angular position $\theta$ as indicated in figure. Then

A monochromatic light source $S$, is placed between a mirror and a screen as shown in the figure below,

A liquid of refractive index $\mu$ is poured on a glass $\left({\mu }_g=1.5\right)$ slab to form a thin layer of thickness $t=2.5\lambda .$ A monochromatic light beam of wavelength $\lambda$ is incident at small angle with normal. For normal viewing of reflected light. Which of the following is/are not correct?

In YDSE set up one of the slit $S_1$ of a double slit system is wider than the other, so that the amplitude of light reaching the central part of the screen from one slit acting alone is twice that from the other slit acting alone. If $d=4\lambda ,$ maximum value of $\sin \theta$ so that intensity at point $P$ is equal to average intensity on screen
is $\left(\frac{N}{16}\right).$ Find the value of $\mathrm{N}.$

In Young's double slit experiment, when light of wavelength $4000 \mathrm{A}$ is used $90$ fringes are seen on the screen. When light of $18000 \mathrm{\AA }$ is used, the number of fringes seen is

Two coherent point sources of wavelength $\lambda$ are placed at $A$ and $B$ on $x$-axis. The number of minima on $x$-axis is