Don't provide hand writing solution eggHome Expert QLAMy solutionsdent questionTime Left: 01:55:321) If a laser beam of wavelength 4.0e+02 nm is sent through a diffraction grating of 250 lines per mm, at what angle will the first-ordermaximum be? degrees 2) You send a laser beam of wavelength 550 nm through a diffraction grating. You note that the first-ordermaximum is at 5.0\deg from the straight-through direction. What is d, the spacing between slits of the grating? How many slits arethere, per millimeter?please answer both parts, thanks in advance!

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University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 63AP: A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm....

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X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg angle of 25.5°. What is the spacing between the scattering planes in this crystal?
A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?
How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction effects of the eye’s pupil limit the resolution? Assume 550 nm for the wavelength of light, the pupil diameter 5.0 mm, and 400,000 km for the distance to the moon.
The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?
A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the moon. (a) If this is done with the Mount Wilson telescope, producing a 2.54-m-diameter beam of 633-nm light, what is the minimum angular spread of the beam? (b) Neglecting atmospheric effects, what is the size of the spot this beam would make on the moon, assuming a lunar distance of 3.84108 m?
The thickness of an aluminum foil is measured using a Michelson interferometer that has its movable mirror mounted on a micrometer. There is a difference of 27 fringes in the observed interference pattern when the micrometer clamps down on the foil compared to when the micrometer is empty. Calculate the thickness of the foil?
(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?
As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.
As an example of diffraction by apertures of everyday dimensions, consider a doorway of width 1.0 m. (a) What is the angular position of the first minimum in the diffraction pattern of 600-nm light? (b) Repeat this calculation for a musical note of frequency 440 Hz (A above middle C). Take the speed of sound to be 343 m/s.
1. O -12 points SerPSE9 38.P.001.MI.FB. My Notes O Ask Your Teacher Light of wavelength 588.0 nm illuminates a slit of width 0.80 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.89 mm from the central maximum? m (b) Calculate the width of the central maximum. mm Need Help? Read It Master It 2. O -11 points SerPSE9 38.P.005. My Notes + Ask Your Teacher Coherent microwaves of wavelength 5.00 cm enter a tall, narrow window in a building otherwise essentially opaque to the microwaves. If the window is 45.0 cm wide, what is the distance from the central maximum to the first-order minimum along a wall 6.50 m from the window? cm Need Help? Read It 3. -/1 points SerPSE9 38.P.007.MI.FB. My Notes Ask Your Teacher A screen is placed 60.0 cm from a single slit, which is illuminated with light of wavelength 690 nm. If the distance between the first and third minima in the diffraction pattern is 3.10 mm, what is the width of…
A hawk's eye has a diameter of 0.00620 m. What is the closest detail it could possibly resolve at 50.0 m, using 525 nm light? [?]m Remember: nano means 10-9
Incident beam A 8-- SQ + QT (3.19) drki sin 0 + dnki sin 0 %3D (3.20) 2dnki sin 0 %3D Н.W. Derive equation 3.20 (Bragg's Law) from equation 3.19 using trigonometry formulas.

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