Diffraction of Light

Light, from a monochromatic source, is made to fall on a single slit of variable width. An experimentalist records the following data for the linear width of the principal maxima on a screen kept at a distance of 1 m from the plane of the slit.
 

Using the observations from this data estimate the value of the wavelength of light used.

In a single slit diffraction experiment, a slit of width ‘d’ is illuminated by red light of wavelength 650 nm. For what value of ‘d’ will

​(i) the first minimum fall at an angle of diffraction of  $30°$ , and

(ii) the first maximum fall at an angle of diffraction of  $30°$ :

In a single slit diffraction experiment, a slit of width $d$ is illuminated by red light of wavelength $650 \mathrm{nm}$. For what value of $d$ will 

​(i) the first minimum fall at an angle of diffraction of  $30°$ and

(ii) the first maximum fall at an angle of diffraction of  $30°$

A parallel beam of light of wavelength $600\mathrm{\hspace{0.17em}}\mathrm{nm}$ is incident normally on a slit of width $a$. If the distance between the slit and the screen is $0.8\mathrm{\hspace{0.17em}}\mathrm{m}$ and the distance of 2^nd order minimum from the centre of the screen is $1.5\hspace{0.17em}\mathrm{mm}$, calculate the width of the slit.

Consider Fraunhoffer diffraction pattern obtained with a single slit illuminated at normal incidence. At the angular position of the first diffraction minimum, the phase difference (in radians) between the wavelets from the opposite edges of the slit is

Consider Fraunhoffer diffraction pattern obtained with a single slit illuminated at normal incidence. At the angular position of the first diffraction minimum, the phase difference (in radians) between the wavelets from the opposite edges of the slit is

A slit of width $d$ is placed in front of a lens of focal length $0.5 \mathrm{m}$ and is illuminated normally with light of wavelength $5.89\times {10}^{-7} \mathrm{m}$. The first diffraction minima on either side of the central diffraction maximum are separated by $2\times {10}^{-3} \mathrm{m}$. The width $d$ of the slit is_________$m.$

For what distance is ray optics a good approximation when the aperture is $4 \mathrm{mm}$ wide and the wavelength is $500 \mathrm{nm}$ ?

When the resolution is called as refutation-complete?

Ray optics is valid when characteristic dimensions are

Resolution power of electron microscope is

Ray optics is valid when the size of the obstacle is

Resolving power of a microscope depends upon

Assume that the light of wavelength is $6000 \stackrel{\circ }{\mathrm{A}}$ coming from a star. What is the resolution limit of a telescope whose objective has a diameter of $100$ inch?

For a diffraction from a single slit, the intensity of the central point is

Fraunhofer lines observed in the solar spectrum are due to

Light is diffracted at a single slit. Which of the following graphs best represents how the intensity $I$ of the diffracted light varies with the diffraction angle $\theta$?

A single-slit diffraction pattern is obtained using a beam of red light. What happens if the red light is replaced by blue light?

Resolving power of a microscope depends upon

Monochromatic light of wavelength $4300 \stackrel{\mathrm{o}}{A}$ falls on a slit of width $‘a’$.  In diffraction pattern first maxima deviates through ${30}^{°}$. Magnitude of slit width a is