Interference of Light

What is the maximum number of possible interference maxima, if slit separation equals to twice the wavelength in Young's double-slit experiment?

The maximum number of interference maxima for slit separation equal to two times the wavelength in YDSE, is.

Light of wavelength $600 \mathrm{nm}$ falls normally on a slit of width $1.2 \mathrm{\mu } \mathrm{m}$  producing Fraunhoffer diffraction pattern on a screen. Calculate the angular position of first minimum and the angular width of the central maximum.

Monochromatic light of wavelength $500 \mathrm{nm}$ is used in a Young's apparatus. The separation between the two slits is $5\times {10}^{-4} \mathrm{m}$ and the screen is at a distance $1.0 \mathrm{m}$ from the slits. Now one of the slit is covered by a glass sheet of thickness $1.5\times {10}^{-6} \mathrm{m}$ and refractive index $1.5$. Find the lateral shift of the central maximum. 

In a Young's experiment the two coherent sources have intensities $\mathrm{I}$ and $4\mathrm{I}$. Find the intensity at a point on the screen where the phase-difference between the two waves is $\frac{\mathrm{\pi }}{3}$.

In a Young's double slit experiment, if the slit widths are in the ratio of $1:2$, find the ratio of the intensities at minima and maxima. 

In a Young's double slit experiment first performed in air and then in a liquid, it found that $8$th bright fringe in air is replaced by 10 th bright fringe in liquid. Find the refractive index of the liquid 

Two coherent sources have intensities in the ratio $25: 16$. Find the ratio of the intensities of maxima and minima, after interference of light occurs. 

In Young's experiment, the width of the fringes obtained with the light of wavelength $6000 \stackrel{°}{\mathrm{A}}$  is  $2 \mathrm{mm}$. Calculate the fringe width if the entire apparatus is immersed in a liquid medium of refractive index $1.33.$ 

In Young's double slit experiment, using light of wavelength $400 \mathrm{nm}$, interference fringes of width $\mathrm{x}$ is 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 distances between the screen and the plane of the interfering sources in the two arrangements.

In Young's double slit experiment, monochromatic light of wavelength $630 \mathrm{nm}$ illuminates the pair of slits and produces an interference pattern in which two consecutive bright fringes are separated by $8.1 \mathrm{mm}$. Another source of monochromatic light produces the interference pattern in which the two consecutive bright fringes are separated by $7.2 \mathrm{mm}$. Find the wavelength of light from the second source. What is the effect on the interference fringes if the monochromatic source is replaced by a source of white light.

A beam of light consisting of two wavelengths, $800 \mathrm{nm}$ and $600 \mathrm{nm}$ is used to obtain the interference fringes in Young's double slit experiment on a screen placed $1.4 \mathrm{m}$ away. If the two slits are separated by $0.28 \mathrm{mm}$. Calculate the least distance from the central bright maximum where the bright fringe of the two wavelengths coincide.

Laser light of wavelength $640 \mathrm{nm}$ incident on pair of slits produces an interference pattern in which the bright fringes are separated by $7.2 \mathrm{mm}$. Calculate the wavelength of another source of light which produces interference fringes separated by $8.1 \mathrm{mm}$ using the same arrangement.

A beam of light consisting of two wavelengths $600 \mathrm{nm}$ and $500 \mathrm{nm}$ is used to obtain fringes in a Young's double slit experiment. Separation between the slits is $2 \mathrm{mm}$ and the screen is placed $120 \mathrm{cm}$ away from the slits. Find the least distance from the central bright fringe where the bright fringe due to both the wavelength coincide. 

In a Young's double slit experiment, if monochromatic light of wavelength $600 \mathrm{nm}$ be used, the fringe width becomes $3 \mathrm{mm}$. What will be the fringe width if the whole experimental arrangement be immersed in water of r.i. $\frac{4}{3}$.

In a Young's double slit experiment, if monochromatic light of wavelength $600 \mathrm{nm}$ be used, the fringe width becomes $3 \mathrm{mm}$. What will be the fringe width if  wavelength of the light used be $500 \mathrm{nm}$ 

In a Young's double slit experiment, separation between the two slits is $0.3 \mathrm{mm};$ distance between the screen and the slits is $1.2 \mathrm{m}$. Distance of the second bright fringe from the central bright fringe on the screen is $4.5 \mathrm{mm}$. Find the fringe width.

In a Young's double slit experiment, separation between the two slits is $0.3 \mathrm{mm}$ distance between the screen and the slits is $1.2 \mathrm{m}$. Distance of the second bright fringe from the central bright fringe on the screen is $4.5 \mathrm{mm}$. Find the wavelength of the light used in the experiment.

 If monochromatic source of light is replaced by white light, what change would you observe in the diffraction pattern.

Deduce an expression for the intensity at any point on the screen in Young's double slit experiment.