Embibe Experts Solutions for Chapter: Wave Optics, Exercise 2: BEGINNER'S BOX - 2

Two slits in Young's experiment are $0.02 \mathrm{cm}$ apart. The interference fringes for the light of wavelength $6000 \stackrel{\circ }{\mathrm{A}}$ are formed on a screen $80 \mathrm{cm}$ away. Calculate the distance of the fifth bright fringe.

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

In young's experiment for interference of light the slits $0.2 \mathrm{cm}$ apart are illuminated by yellow light  $\left(\lambda = 5896 \stackrel{\circ }{\mathrm{A}}\right)$. What would be the fringe width on a screen placed $1 \mathrm{m}$ from the plane of slits. What will be the fringe width, if the system is immersed in water. $\left({\mu }_w=\frac{4}{3}\right)$?

The distance between the coherent source is $0.3 \mathrm{mm}$ and the screen is $90 \mathrm{cm}$ from the sources. The second dark band is $0.3 \mathrm{cm}$ away from the central bright fringe. Find the wavelength and the distance of the fourth bright fringe from the central bright fringe.

State two conditions to obtain sustained interference of light. In Young's double-slit experiment, using light of wavelength $400 \mathrm{nm}$, interference fringes of width $X$ are obtained. The wavelength of light is increased to $600 \mathrm{nm}$ and the separation between the slits is halved. If one wants the observed fringe width on the screen to be the same in the two cases, find the ratio of the distance between the screen and the plane of the slits in the two arrangements.

In a Young's double slit experiment, light has a frequency of $6\times {10}^{14} s^{-1}$. The distance between the centres of adjacent bright fringes is $0.75 mm$. If the screen is $1.5 m$ away, what is the distance between the slits?

In Young's experiment, the width of the fringes obtained with a light of wavelength $6000 \stackrel{\circ }{\mathrm{A}}$ is $2.0 \mathrm{mm}$. What will be the fringe width, if the entire apparatus is immersed in a liquid of refractive index $1.33$?

The intensity of X-rays of wavelength $0.5 \stackrel{°}{A}$ reduces to one-fourth on passing through $3.5 \mathrm{mm}$ thickness of a metal foil. The coefficient of absorption of metal will be:-