S. L. Arora Solutions for Chapter: Wave Optics, Exercise 3: Problems For Practice

In Young's double slit experiment, the two slits $0.15\mathrm{mm}$ apart are illuminated by monochromatic light of wavelength $450\mathrm{nm}$. The screen is $1.0\mathrm{m}$ away from the slits. Find the distance of the second bright fringe,

In Young's double slit experiment, red light of wavelength $620\mathrm{nm}$ is used and the two slits are $0.3\mathrm{mm}$ apart. Interference fringes observed on a screen are found to be $1.3\mathrm{mm}$ apart.

Calculate the distance of slits from the screen 

In a Young's double slit experiment, the interference fringes are obtained on a screen $0.75\mathrm{m}$ apart. The third dark band is at a distance of $5.5\mathrm{mm}$ from the central fringe.

Determine the wavelength of light used if the two slits are $0.15\mathrm{mm}$ apart.

In Young's experiment, what will be the phase difference and the path difference between the light waves reaching (i) third bright fringe and (ii) third dark fringe from the central fringe. Take $\lambda =5000\mathrm{\AA }$.

In a Young's double slit interference pattern at a point, we observe the 10th bright fringe (order maxima) for wavelength $7000\mathrm{\AA }$. What order maxima will be visible if the source of light is replaced by light of wavelength $5000\mathrm{\AA }$? In a Young's double slit interference pattern at a point, we observe the 10th bright fringe (order maxima) for wavelength $7000\mathrm{\AA }$. What order maxima will be visible if the source of light is replaced by light of wavelength $5000\mathrm{\AA }$?

The fringe width in a Young's double slit the interference pattern is $2.4\times {10}^{-4} \mathrm{m}$ when red light of wavelength $6400 \mathrm{\AA }$ is used. By how much will it change in $\mathrm{mm}$ if blue light of wavelength $4000 \mathrm{\AA }$ is used.

In a Young's double slit experiment, the two slits are $2 \mathrm{mm}$ apart and the screen is positioned $140 \mathrm{cm}$ away from the plane of the slits. The slits are illuminated with light of wavelength $600 \mathrm{nm}$. Find the distance of the third bright fringe, from the central maximum, in the interference pattern obtained on the screen. If the wavelength of the incident light were changed to $480 \mathrm{nm}$, find the shift in the position of third bright fringe from the central maximum.

In Young's double slit experiment, two slits are separated by $3 \mathrm{mm}$ distance and illuminated by light of wavelength $480 \mathrm{nm}$. The screen is $2 \mathrm{m}$ from the plane of slits. Calculate the separation between the $8^{th}$ bright fringe and the $3^{rd}$ dark fringe observed with respect to the central bright fringe.