(a) What is the distance between the slits of a diffraction grating that produces a first-order maximum for the first Balmer line at an angle of 20.0º ?(b) At what angle will the fourth line of the Balmer series appear in first order?(c) At what angle will the second-order maximum be for the first line?

Q: Light from a helium-neon laser (λ = 633 nm) passes through a 0.50-mm-diameter hole. How far away…

A: Given: The wavelength of the helium-neon laser = 633 nm The diameter of the hole =0.50 mm Width of…

Q: A beam of light of a single wavelength is incident perpendicularly on a double-slit arrangement,…

A: The experiment is shown as, The number of bright fringes formed above the central maxima is equal…

Q: A laser light with wavelength of, 630nm, allowed to pass through double slit interference wilh a…

A: Given The wavelength of laser light is λ=630 nm=630×10-9 m. The seperation distance of interference…

Q: Consider the far-field diffraction pattern of a single slit of width 2.125 µm when illuminated…

A: The equation for the angular radius of the central peak as below. sinθ=2n+1λ2

Q: If, in a two-slit interference pattern, there are 8 bright fringes within the first side peak of the…

A: The expression for the ratio of slit separation to slit width,

Q: A diffraction grating with 300 lines/ mm is illuminated with white light from a distant source. For…

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Q: Sound waves with frequency 4000 Hz and speed 350 m/s diffract through the rectangular opening of a…

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Q: What is the smallest separation between two slits that willproduce a second-order maximum for 720-nm…

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Q: Light of wavelength 515.00 nm is incident normally on a diffraction grating, and the second-order…

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Q: What is the spacing between structures in a feather that acts as a reflection grating, given that…

A: Given information: The wavelength of the incident light, λ=525 nm=525×10-9 m The angle of the…

Q: What must be the ratio of the slit width to the wavelength for a single slit to have the first…

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Q: Find the distance in nm  between two slits that produce the first minimum for 410nm violet light at…

A: we know that in case of differaction relation for minima is given by, dsinθ = mλ where m = no of…

Q: The yellow light from a sodium vapor lamp seems to be of pure wavelength, but it produces two…

A: Formula of diffraction grating is as follows: nλ=dsinθ…

Q: find the slit spacing of a diffraction grating necessary for 450nm light to have a first-order (m=1)…

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Q: Light with a single wavelength of 642 nm is directed upon two thin slits separated by a distance of…

A: Given data  The wavelength of light (λ) = 642nm = 642×10-9m The separation between the slits (d) =…

Q: When the light of wavelength 495 nm passes through a single slit of unknown width, the diffraction…

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Q: Show that for a double slit fraunhofer pattern if a=mb the number of bright fringes with in the…

A: In Double Slit Fraunhofer first diffraction minimum is given by bSinθ=λ…

Q: Visible light is incident perpendicularly on a diffraction grating of 200 rulings/mm. What are the…

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Q: Find the angle for the third-order maximum for 580-nmwavelength yellow light falling on a…

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Q: Light of wavelength 590 nm is incident normally on a grating of 8.0 x 10 lines per meter. The number…

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Q: If a single slit produces a first minimum at 14.5o , at what angle is the fourth-order minimum?

A: first minimum at 14.5o

Q: Dick observes that a single slit that is2,084  nm wide forms a diffraction pattern when illuminated…

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Q: A double-slit arrangement produces interference fringes for sodium light (l =589 nm) that have an…

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Q: When a student shines 580-nm yellow light at a double-slit arrangement, she finds that the…

A: Given data: Wavelength of the incident light is, λ= 580-nm = 580×10-9 m Position of the first order…

Q: Light of wavelength is incident on a slit of width d. Under what conditions is the ray approximation…

A: The wavelength is λ, and the width of the slit is d. Condition under which the ray approximation…

Q: In a double-slit experiment, if the central diffraction peak contains 15 visible interference…

A: Given: Visible (bright) fringes: 15 If there are 15 central fringes, then that means there are 7 on…

Q: What is the distance between lines on a diffraction gratingthat produces a second-order maximum for…

A: Given:  wavelength = 760 nm = 760 x 10-9 m  order, m = 2  angle = 60 degree

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A: Given information: Here, θ is the angle between the first-order maximum of either side, n is the…

Q: In two-slit interference, if the slit separation is 14 mm and the slit widths are each 2.0 mm, (a)…

A: The order of the light,   The first minima in the diffraction pattern,

Q: If a single slit produces a first minimum at 14.5o , at what angle is the second-order minimum?

A: The expression used is, Dsinθ=mλ For m=1, Dsinθ1=λ    [1] Here   is the angle, D denotes the slit…

Q: If, in a two-slit interference pattern, there are 6 bright fringes within the first side peak of the…

A: There are 6 bright fringes within the first side peak  . To find = Ratio of slit separation to slit…

Q: .Vhat slit spacing is required to give a separation of 2 cm between the second and third order…

A: In the problem we are given separation between second and third maxima but from theory of Young…

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Q: In a single slit diffraction experiment, the width of the slit is reduced to half its original…

A: D=Distance between the slit and screena=Width of the slitλ=Wavelength of light

Q: How many (whole) bright fringes will be produced on an infinitely large screen if orange light (A =…

A: Answer             16

Q: Light of wavelength 500 nm, near the center of the visible spectrum, enters a human eye. Although…

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Q: Monochromatic light of a wavelength 633nm falls on a slit. If the angle between the first two bright…

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Q: The third-order bright fringe of 610-nm light is observedat an angle of 31° when the light falls on…

A: Given: Order of the bright fringe n=3 The wavelength=610 nm=610x10-9 m angle θ=31° To determine: We…

Q: A single slit 1.0 mm wide is illuminated by 450-nm light. What is the width of the central maximum…

A: wavelength of light , λ = 450 nm = 4.5 x 10-7 m Slit , D = 1 mm = 1 x 10-3 m Distance from the…

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.