Fraunhofer's Diffraction due to a Single-Slit

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.)

The box of a pin hole camera of length $L$ has a hole of radius $e$. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength $\lambda$, the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say $b_{\min }$) when:

In a diffraction pattern due to a single slit of width $e$, the first minimum is observed at an angle $30°$ when light of wavelength $5000 \stackrel{\mathrm{o}}{\mathrm{A}}$ is incident on the slit. The first secondary is observed at an angle of:

A linear aperture whose width is $0.02 \mathrm{cm}$ is placed immediately in front of a lens of focal length $60 \mathrm{cm}$. The aperture is illuminated normally by a parallel beam of light of wavelength $5\times {10}^{-5} \mathrm{cm}$. The distance of the first dark band of the diffraction pattern from the centre of the screen is:

In a double-slit experiment, the two slits are $1 \mathrm{mm}$ apart and the screen is placed $1 \mathrm{m}$ away. A monochromatic light of wavelength $500 \mathrm{nm}$ is used. What will be the width of each slit for obtaining ten maxima of double-slit within the central maxima of single-slit pattern?

For a parallel beam of monochromatic light of wavelength $\lambda$, diffraction is produced by a single slit whose width $e$ is of the wavelength of light. If $D$ is the distance of the screen from the slit, the width of the central maxima will be:

A beam of light of $\lambda =600 \mathrm{nm}$ from a distant source falls on a single-slit $1 \mathrm{mm}$ wide and the resulting diffraction pattern is observed on a screen $2 \mathrm{m}$ away. The distance between first dark fringes on either side of the central bright fringe is:

A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of the slit is:

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygens' wavelet from the edge of the slit and the wavelet from the mid-point of the slit is:

A parallel light beam of wavelength $6000 \mathrm{\AA }$ passes through a slit $0.2 \mathrm{mm}$ wide and forms a diffraction pattern on a screen $1.0 \mathrm{m}$ away from the slit. Find the width of the central maximum on the screen. What would be the width of this maximum, if the apparatus be immersed in water of refractive index $\frac{4}{3}$?

A narrow slit of width $0.3 \mathrm{mm}$ is illuminated normally by a parallel beam of light of wavelength $6\times {10}^{-7} \mathrm{m}$. The Fraunhofer diffraction pattern is obtained on a screen placed in the focal plane of a convex lens of focal length $25 \mathrm{cm}$. The lens is placed quite close to the slit. Find the width of central maximum on the screen.

A Fraunhofer diffraction pattern due to a single-slit of width $0.2 \mathrm{mm}$ is being obtained on a screen placed at a distance of $2$ metre from the slit. The first minima lie at $5 \mathrm{mm}$ on either side of the central maximum on the screen. Find the wavelength of light.

A parallel beam of light of wavelength $6\times {10}^{-5} \mathrm{cm}$ falls normally on a straight slit of width $0.2 \mathrm{mm}$. Find the total angular width of the central diffraction maximum and also its linear width as observed on a screen placed $2$ metre away.

A parallel beam of light of wavelength $600 \mathrm{nm}$ falls normally on a narrow slit of width $0.3 \mathrm{mm}$. Calculate the angular separation between the first subsidiary maxima on the two sides of the central maximum.

A parallel beam of light of wavelength $600 \mathrm{nm}$ falls normally on a narrow slit of width $0.3 \mathrm{mm}$. Calculate the angular separation between the first minimum and the central maximum.

Fraunhofer diffraction from a single-slit of width $1.24\times {10}^{-6} \mathrm{m}$ is observed with light of wavelength $6200 \mathrm{\AA }$. Calculate the angular width of the central maximum.

Fraunhofer diffraction from a single-slit of width $1.0 \mathrm{\mu m}$ is observed with light of wavelength $500 \mathrm{nm}$. Calculate the half angular width of the central maximum.

Compare interference and diffraction. Obtain the expression for half and full angular width of central maxima in diffraction pattern.

Draw diagram of diffraction of light due to a single slit and draw a graph showing the variation of intensity of light in a single slit Fraunhofer diffraction.

Define diffraction of light and name the wavefront used in Fraunhofer diffraction. Obtain the relation $e \sin \theta =\lambda$ for the first minima.