Embibe Experts Solutions for Exercise 3: Assignment Set-2

In a YDSE set up in air, the fringe width is $w.$ If the whole set up is now immersed inside a liquid of refractive index $2$, the fringe width will become $\frac{w}{k}$, find $k.$

Two identical sources $P$ and $Q$ emit light waves in same phase and of same wavelength $\lambda .$ Distance between $P$ and $Q$ is $3\lambda .$ The maximum distance from $P$ along the $x$-axis at which a minimum intensity occurs is given by $k$ times $\lambda$, find $k.$

Two beams of light having intensities $4I$ and $9I$ interfere to produce an interference pattern on a screen. The phase difference between the beams is $\frac{\pi }{2}$ at point $A$ and $\pi$ at point $B.$ Then the difference between the resultant intensities at points $A$ and $B$ on the screen is $NI$, find $N.$

In Young's double slit experiment intensity at a point is $\left(\frac{1}{4}\right)$ of the maximum intensity. If angular position of this point is ${\sin }^{-1}\left(\frac{\lambda }{Nd}\right)$, then value of $N$ is

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 $45°$ relative to that of $A.$ If intensity of the emergent light is $\frac{I_0}{N}$, then value of $N$ is

Two coherent monochromatic point sources $S_1$ and $S_2$ of wavelength $\lambda =600 \mathrm{nm}$ are placed symmetrically on either side of the centre 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. Total number of fringes produced between $P_1$ and $P_2$ is close to _____.

In the diagram shown below, $CP$ represents a wavefront and $AO$ and $BP$, the corresponding two rays. The condition of $\theta$ for constructive interference at $P$ between the ray $BP$ and reflected ray $OP$ is $\cos \theta =\frac{\lambda }{Nd}$, then $N$ is

In a single slit diffraction experiment, first minimum of ${\lambda }_1=660 \mathrm{nm}$ coincides with first maximum of ${\lambda }_2.$ The value of ${\lambda }_2$ is _____ $\mathrm{nm}.$