EXERCISE 17

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 $\frac{\mathrm{\pi }}{3}$.

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. 

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.

At what angle of incidence should a light beam strike a glass slab of refractive index $\sqrt{3}$, such that reflected and refracted rays are perpendicular to each other.

Calculate the distance a beam of light of wavelength $500 \mathrm{nm}$ can travel without significant broadening if the diffraction aperture is $3 \mathrm{mm}$ wide. 

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

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

Light of wavelength $500 \mathrm{nm}$ falls from a distant source, on a slit $0.50 \mathrm{mm}$ wide. Find the distance between the two dark bands on either side of the central bright band of the diffraction pattern observed on a screen placed $2 \mathrm{m}$ from the slit