Embibe Experts Solutions for Chapter: Wave Optics, Exercise 3: Exercise - 3

In the Young's double-slit experiment using a monochromatic light of wavelength $\lambda$, the path difference (in terms of an integer $n$) corresponding to any point having half the peak intensity is

A light source, which emits two wavelengths ${\lambda }_1=400 \mathrm{nm}$ and ${\lambda }_2=600 \mathrm{nm}$, is used in Young's double-slit experiment. If recorded fringe widths for ${\lambda }_1$ and ${\lambda }_2$ are ${\beta }_1$ and ${\beta }_2$ and the number of fringes for them within a distance $y$ on one side of the central maximum are $m_1$ and $m_2$, respectively, then:

In a Young's double slit experiment the intensity at a point where the path-difference is $\frac{\lambda }{6}(\lambda$ being the wavelength of the light used) is I. If $I_0$ denotes the maximum intensity, $\frac{I}{I_0}$ is equal to 

At two points $P\text{ and }Q$ on screen is Young's double slit experiment, waves from slit $S_1$ and $S_2$ have a path-difference of $0$ and $\frac{\lambda }{4}$, respectively. The ratio of intensities at $P \text{and} Q$ will be

In a Young's double slit experiment, the two slits act as coherent sources of waves of equal amplitude $A$ and wavelength $\lambda$. In another experiment with the same arrangement the two slits are made to act as incoherent sources of waves of same amplitude and wavelength. If the intensity at the middle point of the screen in the first case is $I_1$ and in the second case $I_2$, then the ratio $\frac{I_1}{I_2}$ is

Two beams, $A$ and $B$ of plane polarised light with mutually perpendicular planes of polarisation are seen through a Polaroid. From the position when the beam $A$ has maximum intensity (and beam $B$ has zero intensity), a rotation of Polaroid through $30°$ makes the two beams appear equally bright. If the initial intensities of the two beams are $I_{\mathrm{A}}$ and $I_{\mathrm{B}}$ respectively, then $\frac{I_{\mathrm{A}}}{I_{\mathrm{B}}}$ equals

On a hot summer night, the refractive index of air is the smallest near the ground and increases with a height from the ground. When á light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beam

The angular width of the central maximum in a single slit diffraction pattern is $60°$. The width of the slit is $1 \mathrm{\mu m}$. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young’s fringes can be observed on a screen placed at a distance $50 \mathrm{cm}$ from the slits. If the observed fringe width is $1 \mathrm{cm}$, what is slit separation distance? (i.e., distance between the centres of each slit.)