EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 35, Problem 16Q
Suppose light consisting of wavelengths between 400 nm and 700 nm is incident normally on a diffraction grating. For what orders (if any) would there be overlap in the observed spectrum? Does your answer depend on the slit spacing?
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When light of a wavelength λ = 520 nm is incident on a diffraction grating the first maximum after the center one is found to occur at an angle of θ1 = 8.5 degrees.
1. Write an expression for the grating's line density, n, in terms of the given quantities.
A diffraction grating is made up of slits of width 300 nm with separation 900 nm. The grating is illuminated by monochromatic plane waves of wavelength l = 600 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?
In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen is 100 cm.
What is the phase difference (in degrees) between the waves from the two slits arriving at a point 5 mm from
the central maximum when the wavelength is 400 nm?
(Convert your result so the angle is between 0 and 360°.)
Chapter 35 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 35 - Radio waves and light are both electromagnetic...Ch. 35 - Hold one hand close to your eye and focus on a...Ch. 35 - Explain why diffraction patterns are more...Ch. 35 - For diffraction by a single slit, what is the...Ch. 35 - Describe the single-slit diffraction pattern...Ch. 35 - What happens to the diffraction pattern of a...Ch. 35 - In the single-slit diffraction pattern, why does...Ch. 35 - Discuss the similarities, and differences, of...Ch. 35 - Figure 3510 shows a two-slit interference pattern...Ch. 35 - When both diffraction and interference are taken...
Ch. 35 - Does diffraction limit the resolution of images...Ch. 35 - Give at least two advantages for the use of large...Ch. 35 - Atoms have diameters of about 108 cm. Can visible...Ch. 35 - Which color of visible light would give the best...Ch. 35 - Could a diffraction grating just as well be called...Ch. 35 - Suppose light consisting of wavelengths between...Ch. 35 - What is the difference in the interference...Ch. 35 - White light strikes (a) a diffraction grating and...Ch. 35 - (I) If 680-nm light falls on a slit 0.0365 mm...Ch. 35 - (II) (a) For a given wavelength , what is the...Ch. 35 - (II) If you double the width of a single slit, the...Ch. 35 - (II) If a double-slit pattern contains exactly...Ch. 35 - (II) Design a double-slit apparatus so that the...Ch. 35 - (II) Suppose d = D in a double-slit apparatus, so...Ch. 35 - (II) In a double-slit experiment, let d = 5.00D =...Ch. 35 - (I) What is the angular resolution limit (degrees)...Ch. 35 - (II) The nearest neighboring star to the Sun is...Ch. 35 - (II) The normal lens on a 35-mm camera has a focal...Ch. 35 - (I) A source produces first-order lines when...Ch. 35 - (II) A tungstenhalogen bulb emits a continuous...Ch. 35 - (II) Show that the second- and third-order spectra...Ch. 35 - (II) Suppose the angles measured in Problem 40...Ch. 35 - (II) Missing orders occur for a diffraction...Ch. 35 - The Hubble Space Telescope with an objective...
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- Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?arrow_forwardMonochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?arrow_forwardWhat is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.arrow_forward
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