(a) Describe briefly how a diffraction pattern is obtained on a screen due to a single narrow slit illuminated by a monochromatic source of light. Hence obtain the conditions for the angular width of secondary maxima and secondary minima. (b) Two wavelengths of sodium light of 590 nm and 596 nm are used in turn to study the diffraction taking place at a single slit of aperture 2 × 10-6 m. The distance between the slit and the screen is 1.5 m. Calculate the separation between the positions of first maxima of the diffraction pattern obtained in the two cases.

Q: (a) An obstacle blocking the line of sight produces a diffraction loss of 18dBs between transmitter…

A:

Q: Monochromatic light of wavelength 580 nm passes through a single slit and the diffraction pattern is…

A: (a) The condition for minimum diffraction is a sin θ = mλa sin 90° = (1) (580 nm) a =580 nm  or…

Q: Recall from class that the resolution is limited due to the nature of light. More specifically,…

A: (a) The angular resolution of the human eye can be estimated using the Rayleigh criterion, which…

Q: a) by ight? (b) Give a diagram showing clearly how coherent sources are produced in a biprism.…

A: Fresnel Bi-prism:  It is an optical device of producing interference of light by joining two bases…

Q: The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle…

A: Given data: Diameter of pupil D = 5.25 mm Wavelength λ=539 nm Distance between headlights x = 1.60 m…

Q: When a certain crystal is illuminated with an X-ray source of unknown wavelength, a first-order…

A:

Q: Answer the following questions: (i) In a double slit experiment using light of wavelength 600 nm,…

A: Given: The wavelength of light is λ=600 nm. The angular width of the fringe is θ=0.1∘. The formula…

Q: (a) How wide in m is a single slit that produces its first minimum for 626-nm light at an angle of…

A:

Q: (b) A grating having 5000 lines per cm is used under normal incidence of light. What will happen to…

A: (b) When the 90% of the ruled width of the grating is covered, the angular spacing between the…

Q: If a light with a wavelength of 391.7 nm is used to illuminate a double grating system with a…

A:

Q: Two very narrow parallel slits separated by a distance d1 = 1.0 mm are illuminated with…

A: Distance from the central maxima to the nth order maxima is given by- yn=nλDdwhere,n is order of…

Q: (a) In what way is diffraction from each slit related to the interference pattern in a double slit…

A:

Q: (a) A diffraction grating is just able to resolve two lines of = 5140.3 A° and 5140.85 A° in the…

A: Resolving Power of Diffraction grating = λ∆λ=R=nN Here λ=5140.3 A∆λ=5140.85-5140.3=0.55 A…

Q: (a) How wide in m is a single slit that produces its first minimum for 622-nm light at an angle of…

A: Let the slit width = d Wavelength (λ) = 622 nm θ1,minimum = 21o

Q: (a) If the fifth-order maximum for monochromatic light falling on a double slit is at an angle of…

A:

Q: (a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 5.12 µm. At…

A:

Q: Consider light that has its third minimum at an angle of 21.5° when it falls on a single slit of…

A:

Q: A composite light source is directed at a diffraction grating with a grating constant of 230…

A: Given Information:- Grating constant is  N=230 lines /mm ⇒N=230 lines/ mm×103 mm1 m ⇒N=2.30×105…

Q: The distance between the first and fifth minima of a single-slit diffraction pattern is 0.450 mm…

A: Distance between first and fifth minima , ∆y = 0.45 mm = 0.45 x 10-3 m distance between from the…

Q: (a) How wide in m is a single slit that produces its first minimum for 626-nm light at an angle of…

A: In single slit diffraction experiment  For minimum interference we have  d sin ( theta) =nL Where d…

Q: Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer…

A:

Q: (a) What is meant by the term "coherent sources". In Young's double slit experiment, the amplitude…

A:

Q: A transmission grating is a square of side of 2 cm, and is an opaque screen containing parallel…

A:

Q: Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer…

A:

Q: If a diffraction grating with 300 lines/mm is illuminated with beam of white light, and the 2nd…

A: Given: Grating : 300 lines/mm Wavelength λ=500 nm To find  Separation at wavelength of 400 nm and…

Q: e interference pattern produced by two parallel slits of width “a” and separation “d”, in which d =…

A: Wavelength of light,Distance between the screen and the slit, The slit separation is given to…

Q: (a) How wide in m is a single slit that produces its first minimum for 621-nm light at an angle of…

A: Single slit diffraction occurs when  a ray of light passes through a slit. This phenomenon works in…

Q: The limit to the eye’s visual acuity is related to diffraction by the pupil. Randomized VariablesD…

A: Solution     Given dataDiameter D=3.05mm=3.05×10−3mWavelength of light λ=550×10−9mWhat is the angle…

Q: Consider the five slit problem outlined in the previous question. If the wavelength of light is 500…

A: Given: Wavelength of light =500 nm=500×10-9m Separation between the slits=2.50×10-6m Separation…

Q: The intensity of a single slit diffraction pattern can be described by I(0) = I.( ) stno where a…

A:

Q: A plane monochromatic (λ = 490 nm) light wave normally falls on a narrow slit. The diffraction…

A: Given Data: Incident wavelength, λ=490nm=4.9×10-7 m Lens focal length, F=40 cm=0.4 m Spectrum…

Q: Light of wavelength 500 nm is incident normally on a diffraction grating. The third-order maximum of…

A:

Q: 1. The limit to the eye's acuity is actually related to diffract (a) What is the angle between two…

A: GivenDiameter of pupil, D=2.8 mm=2.8×10-3 mAverage wavelength, λ=540 nm=540×10-9 m

Q: (a) What is the angular separation of two stars if their images are barely resolved by a refracting…

A: Diameter of the lensD=79 cm Focal length of the lens f=14 m Wavelength λ=550 nm The distance between…

Q: Light of wavelength 585.5 nm illuminates a slit of width 0.80 mm. (a) At what distance from the slit…

A: a) The expression for destructive interference with a single slit is sinθ=mλa…

Q: Light of wavelength 588.2 nm illuminates a slit of width 0.63 mm. (a) At what distance from the slit…

A:

Q: maximum of the diffraction pattern is measured to be at an angle of 32.0°. (a) What is the density…

A:

Q: When salt is sprinkled on a flame, yellow light consisting of two closely space wavelengths…

A: Given Sodium doublet of wavelengths λ1=588.997nm and λ2=589.594nm (a) This light falls on…

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.