(a) How many rulings must a 4.00-cm-wide diffraction grating have to resolve the wavelengths 415.496 and 415.487 nm in the second order? (b) At what angle are the second-order maxima found?

Q: How many slits per centimeter does a grating have ifthe third order occurs at a 15.0° angle for…

A: The wavelength of the light, λ=620 nm=620×10-9 m   The order number, m=3   The angle, θ=15.0°

Q: Consider a thin film of thickness t = 2.30 × 10-6 m and index of refraction ng = 1.20. The film is…

A: From the question, it is given that- Thickness of thin film: t = 2.30×10-6 m Refractive index of…

Q: At what angle will 510-nm light produce a second-ordermaximum when falling on a grating whose slits…

A: The wavelength of the light, λ=510 nm=510×10-9 m   The distance, d=1.35×10-3 cm=1.35×10-5 m   The…

Q: InFig. 36.12c the central diffraction maximum contains exactly seven interferencefringes, and in…

A: To determine: Ratio da, if the central maximum contains exactly five fringes. Number of fringes…

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: How wide must a narrow slit be if the first diffraction minimum occurs at ±12° with laser light of…

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Q: When performing a Young's double slit experiment, if for a certain wavelength of light the first…

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Q: Suppose 1.25 Ångstrom X-rays illuminate a large single crystal of an unknown material. If the Bragg…

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Q: How many dark fringes will be produced on either side of the central maximum if light (λ = 662 nm)…

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Q: What angular separation is obtained after two spectral lines of 550.0 nm and 632.0 nm are observed…

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Q: Find the angle for the third-order maximum for 583 nm wavelength light falling on a diffraction…

A: Let the spacing between the two slits be d, the number of lines per centimeter be N, and the…

Q: At what angle does a diffraction grating produces asecond-order maximum for light having a…

A: The expression for the diffracting grating is,

Q: Find the angle for the third-order maximum for 578 nm wavelength light falling on a diffraction…

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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: 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: Calculate the angle at which a 2.00-μm -wide slitproduces its first minimum for 410-nm violet light.…

A: Given : width of the slit, a = 2.00-μm = 2 × 10-6 m             Wavelength of violet light, λ1 =…

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

A: Solution: Given: Question on single slit diffraction. λ = wavelength of light = 626 nm = 626 x 10-9…

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: Laser light sent through a double slit produces an interference pattern on a screen 3.00 m from the…

A: Light is having dual nature. One is particle and another one is wave nature. Interference of light…

Q: A 2000 Hz sound wave passes through a wall with two narrow openings 30 cm apart. If sound travels on…

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Q: Analysis of an interference effect in a clear solid shows thatthe wavelength of light in the solid…

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

A: wavelength = 580 nm  lines = 1500 per cm

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

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Q: Sodium vapor light (average wavelength 607 nm) falls on a single slit of width 7.25 μm. At what…

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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: If a diffraction grating produces a first-order maximum for the shortest wavelength of visible light…

A: The principle of diffraction grating which states that, dsinθ=mλ In the first case,…

Q: Show that a diffraction grating cannot produce a secondorder maximum for a given wavelength of light…

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Q: Find the angular extension of the first-order spectrum of white light from 390 nm-780nm incident…

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Q: If a single slit produces a first minimum at 14.5, at what angle is the third-order minimum for the…

A: We know, for the first order, Dsinθ = mλDsinθ =1λ                ...... (I)   For the third order,…

Q: A helium-neon laser (2= 632.8 nm) is used to calibrate a diffraction grating. If the first-order…

A: Diffraction gratings Diffraction gratings result sharp diffraction spectra when light is enter into…

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: .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…

Q: Light of wavelength 441 nm is incident on a diffraction grating that has 1.67 × 103 lines/cm. What…

A: wavelength = 441 nm number of lines per cm = 1670 m = 2 (second principal maxima)

Q: Copper Kα1X-rays have a wavelength of 0.15406 nm. What is the interplanar spacing d, for the (200)…

A: Wavelength of Kα1X-rays λ = 0.15406 nm Bragg angle θ = 32.52° Order of diffraction n = 1 Interplanar…

Q: Find the angle for the third-order maximum for 557 nm wavelength light falling on a diffraction…

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Q: If a single slit produces a first minimum at 14.5°, at what angle is the third-order minimum for the…

A: The angle of diffraction is given by the equation, mλ=dsinθsinθ=mλd The first minima occurs at 14.5…

Q: How many dark fringes will be produced on either side of the central maximum if light (λλ = 699 nm)…

A: Given: The wavelength of the light is 699 nm. The slit width is 4.84x10-6 m.

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.