A He–Ne laser beam is reflected from the surface of a CD onto a wall. The brightest spot is the reflected beam at an angle equal to the angle of incidence. However, fringes are also observed, at different angles of reflection. The wavelength of a He-Ne laser is λ = 633 nm.  If the wall is 1.45 m from the CD, and the first fringe is 0.615 m from the central maximum, what is the spacing of grooves on the CD, in meters?

Q: A single crystal of cesium is bombarded with CuCu Kα X‑rays with a wavelength of 1.54 Å.1.54 Å. If…

A: According to the Bragg’s equation, 2dsinθ=nλsinθ=nλ2dθ=sin-1nλ2d

Q: beam of white light is shined at normal incidence onto the outside of a soap bubble (index of soap…

A: Given data n=1.34λ=555 nm Here, n is the index of soap solution and λ is the wave length of the…

Q: By passing a light wavelength 500 A.U. through two pinholes 0.5 mm apart, an interference pattern is…

A: Given that, the wavelength of light is λ=500A.U. Since 1AU=1.496×1011m So it is not possible, the…

Q: A beam of parallel light is incident normally on a diffraction grating having 550 lines per mm. A…

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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: It is intended to determine what type of white pigment has been used as a colorant in a…

A: Solution: Use the x ray diffraction relation. 2dsinθ=nλ…

Q: You are performing research in an x-ray diffraction laboratory. In one of your experiments, you wish…

A: Bragg’s law for diffraction maximum

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

A: Given,Angle θ1=36.093°θ2=36.129°number of lines, N=1000 lines/cmThe distance between slits,…

Q: You direct a beam of 0.154 nm x rays at certain planes of a silicon crystal. As you increase the…

A: Part-a Given: Wavelength of the beam λ = 0.154 nm. Angle of diffraction θ = 34.5o.

Q: A diffraction grating has 1570 lines/cm. What is the highest order m that contains the entire…

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Q: Two point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole,…

A: Given data Seperation between two point sources is d = 5.5 cm Diameter pinhole is D = 13micro m

Q: First-order Bragg scattering from a certain crystal occurs at an angle of incidence of 63.8°; see…

A: Solution: To solve this problem, we can use Bragg's law, which relates the angle of incidence, the…

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: A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The…

A: Given Data : The diameter of the Mount Wilson telescope is given as D = 2.1m. The wavelength of the…

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

A: Given data :  Wavelength lambda = 554 nm  Diameter of pupil D = 4.75 mm  By using formulae we can…

Q: Calculate the (a) upper and (b) lower limit of the Brewster angle for white light incident on fused…

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Q: Under what conditions will a person observe no reflected light? Assume that ttt is the film…

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Q: A He–Ne laser beam is reflected from the surface of a CD onto a wall. The brightest spot is the…

A: Given: To find the grooves spacing in the CD is given as, Here,  CD is act as a diffraction grating…

Q: A sheet of glass with index of refraction, nglass= 1.51, is covered by a thin soap film with index…

A: nglass = 1.51 nfilm = 1.29

Q: If a laser with a wavelength of /\ = 6.33 x 10-7 m is shone through a pair of narrow slits with…

A: Step 1:Wavelength is 6.33×10−7mSeparation is 1×10−5mStep 2:The formula for the position of the…

Q: A plane light wave 0.691 µm is incident normally on a diaphragm with a circular aperture 3.2 cm in…

A: Wavelength=0.691muo.m Diameter circular aperture=3.2cm Radius=1.6cm

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

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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: Monochromatic, in phase light of wavelength X = 996mm is incident on a piece of metal with either…

A: Given, The screen distance, D=83.5cm The wavelength of the light, λ=996nmλ=996×10-9m For the single…

Q: A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The…

A: Given : Diameter, D = 2.10 m  Wavelength  = 613 nm  Find : (a) Angular Spread  (b) Size of spot on…

Q: To avoid aliasing, the maximum allowed sampling periods of an image are dx =dy=0.2mm Calculate the…

A: 1. Given The sampling period of an image are  dx = dy = 0.2 mm

Q: Light with a wavelength of 535 nm is incident on a diffraction grating and the diffraction pattern…

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Q: In an interference experiment the ratio of a1 amplitudes of coherent waves is a2 3 The ratio of…

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Q: Consider a symmetric slab waveguide, of core index = 3.6, and cladding/substrate index = 3.55. The…

A: When a question with multiple subparts is given then, according to the guidelines, only the first…

Q: A parallel X-ray beam is diffracted by sodium chloride. Strong first-order is obtained when the…

A: The given data   The Bragg's angle θ = 6°50' The distance between the planes is d = 2.8A °=2.8×10-10…

Q: A double slit experiment is set up using a red 632nm laser, a spacing between the slits of .055mm,…

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Q: One leg of a Michelson interferometer contains an evacuated cylinder of length L, =0.45m having…

A: Given, Length, L=0.45m Number of fringes, N=158 Wavelength, λ=450×10-9m The number of wavelengths…

Q: In a laboratory, light from a particular spectrum line of helium passes through a diffraction…

A: Condition for diffraction maximum for the light in the laboratory and from the galaxy dsinθ=mλ…

Q: A source containing a mixture of hydrogen and deuterium atoms emits light at two wavelengths whose…

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Q: In the single-slit diffraction experiment of the figure, let the wavelength of the light be 541 nm,…

A: (a)The angle between the P1 and P0 is,Substitute the values,

Q: An x-ray beam of a certain wavelength is incident on a NaCl crystal, at 24.0° to a certain family of…

A: Bragg's law of diffraction states that:nλ=2dSinθn=1d=39.8pm =39.8 ×10-12 m (spacing in between…

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.