Diffraction of Light

IMPORTANT

Diffraction of Light: Overview

This topic covers concepts, such as, Fresnel Distance, Condition For Validity of Ray Optics, Path Difference for Secondary Maxima & Intensity of Diffraction Pattern in Fraunhofer's diffraction etc.

Important Questions on Diffraction of Light

EASY
IMPORTANT

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.
 

S.no 1 2 3 4 5
Width of the slit 0.1 mm 0.2 mm 0.3 mm 0.4 mm 0.5 mm
Linear width of the principal maxima 6 mm 3 mm 1.98 mm 1.52 mm 1.2 mm


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

EASY
IMPORTANT

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° :

EASY
IMPORTANT

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°

EASY
IMPORTANT

A parallel beam of light of wavelength 600nm is incident normally on a slit of width a. If the distance between the slit and the screen is 0.8m and the distance of 2nd order minimum from the centre of the screen is 1.5mm, calculate the width of the slit.

EASY
IMPORTANT

Yellow light is used in a single slit diffraction experiment with slit width of 0.6 mm. If yellow light is replaced by X-rays, then the observed pattern will reveal,

MEDIUM
IMPORTANT

Yellow light is used in a single slit diffraction experiment with slit width of 0.6 mm. If yellow light is replaced by X-rays, then the observed pattern will reveal,

EASY
IMPORTANT

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

EASY
IMPORTANT

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

MEDIUM
IMPORTANT

A beam of light of wavelength 600 nm from a distance source falls on a single slit 1 mm wide and a resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringes on either side of central bright fringe is

EASY
IMPORTANT

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

EASY
IMPORTANT

In a single slit diffraction experiment λ=600 nm, if at θ=30° first minima is formed then find the width of slit (a) in µm.

HARD
IMPORTANT

Light of wavelength 5000 A is incident normally on a plane transmission grating. Find the difference in deviations in the first and third order spectra. The number of lines on grating is 6000 per cm.

MEDIUM
IMPORTANT

 In Young's double slit experiment, a mica slit of thickness t and refractive index µ is introduced in the ray from the μ first source S. By how much distance the fringes pattern will be displaced
 

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The angular width of the central maximum in the Fraunhofer's diffraction pattern is measured. The slit is illuminated by the light of wavelength 6000 A. If the slit is illuminated by the light of another wavelength, angular width decreases by 30%. The wavelength of light used is

EASY
IMPORTANT

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

MEDIUM
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A parallel beam of light of diameter 1.8 cm contains two wavelengths 4999.75 and 5000.25. The light is incident perpendicularly on a large diffraction grating with 5000 lines per centimetre. What will be the angular separation (in radians) of two wavelengths at order n=2?

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A parallel beam of green light of wavelength 546nm passes through a slit of width 0.40mm. The transmitted light is collected on a screen 40cm away. What will be the distance between two first order minima?

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Why does intensity keep on decreasing as you move away from Central Maxima in diffraction.

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How can light travels in a straight line path ?

MEDIUM
IMPORTANT

Light of wavelength 600 nm is incident normally on a slit of width 0.2 mm. The angular width of central maxima in the diffraction pattern is α×10-3(measured from minimum to minimum). Write the value of α.