The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4 500 lines/cm?

Q: The edge of a unit cell in a cubic crystal is a = 2.62 Å. Find the Bragg angle corresponding to…

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Q: Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil)…

A: As per Rayleigh criterion, the star’s angular size can be represented as, Here, D and ? represent…

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: 9. Not only does visible light exhibit wave properties, but so do x-rays. To see these properties…

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Q: A diffraction grating of 1000 groove/mm is used in an experiment with two wavelengths A1 = 445 nm…

A: Angular dispersion is defined as the rate of change of angle of the dispersed light. For a grating,…

Q: A laser with a wavelength of À = 410 nm is incident on a diffraction grating. The m = 3 maxima…

A: laser light wavelength, λ=410 nm=410×10-9 m maxima number, m=3 The vertical position of m=3 is,…

Q: Problem 18:  Consider a single slit that produces its first minimum at 54° for 590 nm light.…

A: For a single slit, we know that  nλ=wsinθ Therefore  w=nλsinθ Where,  w= slit widthλ= wavelenghtn=…

Q: Light from a slit passes through a transmission Red cm cm cm Blue-green Violet

A: The distance between adjacent bright fringes is given by: d = λD/d Where λ is the wavelength of…

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

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Q: 7. The x-ray wavelength is 0.071 nano meter which IS as the lattice constant (a). Determine the…

A: (a) Given: The x-ray wavelength is 0.071 nm. The lattice constant is 0.28 nm. Introduction: Bragg…

Q: 2. The edge of a unit cell in a cubic crystal is a= 2.62 Å. Find the Bragg angle corresponding to…

A: from Braggs lawλ=2al2+k2+h2for plane (100)λ=2al2+k2+h2sinθ=2×2.621sinθ=1.54θ=17.090Bragg…

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: The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation…

A: Given that,Wavelength of red light, λR=656 nm=656×10-9 mWavelength of voilet light, λv=434…

Q: A proton with a speed of 0.9 m/s is directed through a double slit with slit separation 0.4mm. An…

A: Velocity of the proton is v = 0.9 m/s Slit separation distance is d = 0.4 mm Distance of the…

Q: Light with a wavelength of 827 nm is incident on a diffraction grating and the diffraction pattern…

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Q: 7. A light emitting diode (LED) has a center wavelength λ = 1.31µm and a bandwidth AX= 40nm; given…

A: Given that Wavelength λ=1.31μm=1.31×10-6m Bandwidth ∆λ=40 nm=40×10-9 m Speed of light c=3×108 m/s

Q: Sodium’s emission lines at 589.0 nm and 589.6 nm pass through a diffraction grating and form two m 5…

A: Step 1a) The spacing between the two lines would remain same in this picture.

Q: Three discrete spectral lines occur at angles of 10.2°, 13.8°, and 15.0°, respectively, in the…

A: SOlution: given that Three discrete spectral lines occur at angles of 10.2°, 13.8°, and 15.0° slits…

Q: Describe the powder method for X-ray diffraction. Discuss the formation of diffraction pattern on…

A: Bragg's law of diffraction gives the condition for constructive interference. Using the condition we…

Q: The hydrogen spectrum has a violet line at 410 nm, and a blue line at 486 nm. What is the second…

A: Given that,Wavelength of voilet line, λv=410 nm=410×10-9 mWavelength of blue line, λB=486…

Q: 1. What resolving power is needed to separate the two copper x-ray lines Kal and Ka2? 2. Calculate…

A: 1. From the record,The wavelength of Kα1 in copper =1.54056 AoThe wavelength of Kα2 in copper…

Q: Powdered x-ray diffraction is conducted using x-ray of 0.154 nm wavelength to study a metallic…

A: This problem is from solid state physics. Please have a good look. (a)For a FCC lattice, the Miller…

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Q: 8.3 (a) How many bits can be stored in an optical storage of A4 paper size (21.5 cm x 27.5 cm) using…

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Q: Light of wavelength 541 nm and 721 nm are incident on a diffraction grating with 3880 lines/cm. For…

A: The 721 nm light would indeed have the same diffraction angle in the 3rd order as the 541 nm light…

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A: Snell's law or Snell-Descartes law gives the relationship between the angles of incidence and…

Q: The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation…

A: λred = 656 x 10-9 m λviolet = 434 x 10-9 m To find = a) First order separation                  b)…

Q: The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. An X-ray diffraction…

A: Given data, m=1 λ=0.105 nm d=0.541 nm

Q: 65 •• The first excited state of an atom of a gas is 2.85 eV above the ground state. (a) What is the…

A: The first excited state of an atom of a gas is 2.85 eV above the ground state. (a) What is the…

Q: 350 nm of light falls on a single slit of width 0.20 mm. What is the angular width of the central…

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Q: A diffraction grating has 10 000 lines/cm. How many maxima can be produced by this grating when…

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Q: A diffraction grating has 2393 lines/cm. What is the angle between the first-order maxima for red…

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Q: A light of wavelength 700 nm illuminates a diffraction grating. 2nd order maximum is at 55°. What is…

A: Given data: λ=700 nm

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.