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

$S_1$ and $S_2$ are the two coherent point sources of light located in the $x-y$ plane at points $(0\text{,} 0)$ and $(0\text{,} 3)$, respectively. Here, $\lambda$ is wavelength of light. At which one of the following points (given as co-ordinates) will the intensity of interference be maximum?

In a Fraunhofer's diffraction by a slit, if slit width is $a$, wave length $\lambda$, focal length of lens is $f$, linear width of central maxima is:-

Three observers $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ measure the speed of light coming from a source to be $v_{\mathrm{A}},v_{\mathrm{B}}$ and $v_{\mathrm{C}}$, respectively. The observer $\mathrm{A}$ moves towards the source and $\mathrm{C}$ moves away from the source at the same speed. The observer $\mathrm{B}$ stays stationary. The surrounding space is vacuum everywhere.

Four light waves are represented by:-
$\left(i\right)$ $y=a_1\sin \omega t$
$\left(ii\right)$ $y=a_2\sin (\omega t+\epsilon )$
$\left(iii\right)$ $y=a_1\sin 2\omega t$
$\left(iv\right)$ $y=a_2\sin 2(\omega t+\epsilon )$
Interference fringes may be observed due to superposition of

A Young's double slit experiment is performed with white light.
 

While conducting the Young's double-slit experiment, a student replaced two slits with a large opaque plate in the $x-y$ plane containing two small holes that act as two coherent point sources $(S_1, S_2)$ emitting light of wavelength $600 \mathrm{nm}.$ The student mistakenly placed the screen parallel to the $x-z$ plane $(z> 0)$ at a distance$D= 3 \mathrm{m}$ from the mid-point of$S_1{S}_2,$as shown schematically in the figure. The distance between the sources $d=0.6003 \mathrm{mm}$. The origin $O$ is at the intersection of the screen and the line joining $S_1{S}_2.$ Which of the following is(are) true of the intensity pattern on the screen?

Two coherent monochromatic point sources $S_1$ and $S_2$ of wavelength $\mathrm{\lambda }= 600 \mathrm{nm}$are placed symmetrically on either side of the center of the circle as shown. The sources are separated by a distance $d= 1.8 \mathrm{mm}.$ This arrangement produces interference fringes visible as alternate bright and dark spots on the circumference of the circle. The angular separation between two consecutive bright spots is $∆\mathrm{\theta }.$ Which of the following options is/are correct? 

In a Young's double slit experiment, wavelength of light used is $\lambda .$ Let $O$ is the centre of line joining the slits and $C$ is centre of screen where interference pattern is being obtained. $\theta$ is the angular position of each slit with respect to $C$ and $\varphi$ is angular position of first maxima with respect to $O.$ Select the correct alternative