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A diffraction grating is made up of slits of width 360 nm with separation 1300 nm. The grating is illuminated by monochromatic plane waves of wavelength ? = 720 nm at normal incidence. (a) How many maxima are there in the full diffraction pattern? (b) What is the angular width of a spectral line observed in the first order if the grating has 1000 slits?

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Jamar Ferry
Jamar FerryLv2
6 Aug 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Suppose that you have a reflection diffraction grating with 135lines per millimeter. Light from a sodium lamp passes through thegrating and is diffracted onto a distant screen
a)Two visible lines in the sodium spectrum have wavelengths 498nmand 569 nm. What is the angular separation of the first maxima ofthese spectral lines generated by this diffraction grating?
Express your answer in degrees to two significant figures
b)How wide does this grating need to be to allow you to resolve thetwo lines 589.00nm and 589.59nm nanometers, which are a well knownpair of lines for sodium, in the second order ()?
Express your answer in millimeters to two significantfigures.

1. A laser beam with wavelength ? = 6328 Ã is incident normal tothe plane of a
diffraction grating with a slit separation of d = 2000nm. If thediffraction
pattern is viewed on a screen 1m from the grating, find thedistance separating
the first, second, and third maxima in the pattern.
2. A laser beam with wavelength ? = 6328 Ã is incident normal to asingle slit of
unknown width. If the slit is 417 mm from the screen, and thelocations of the
first three minima are found to be:
m = 1: x = 4.4 mm,
m = 2: x = 8.8 mm,
m = 3: x = 13 mm,
find the width of the slit.
3. In a double slit apparatus, the slits are separated by 150µm.Light of
wavelength 5893Ã is incident normal to the plane of the slits. Aninterference
pattern is observed on a screen 16.4 ft from the slits. Calculatethe separation
between adjacent bright bands.

Two finite-width slits are illuminated by a parallel beam of lightof wavelength 635 nm. The resulting pattern is observed on a screenat a distance of 1.60m from the slits. The central brightdiffraction fringe has a width of 4.20 cm. It is observed that thefourth interference maximum on either side is missing.
(a) What is the width of each slit?
(b) What is the distance between the slits?
(c) What other interference maxima (if any) are missing?
(d) Sketch the intensity as a function of distance from the centerof the pattern.
(Your sketch should include three bright diffraction fringes, thecentral one and the first one on either side.)

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