Fundamentals of Physics, Extended
12th Edition
ISBN: 9781119773474
Author: David Halliday; Robert Resnick; Jearl Walker
Publisher: Wiley Global Education US
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Textbook Question
Chapter 36, Problem 54P
Derive this expression for the intensity pattern for a three-slit “grating”:
,
where ϕ = (2πd sin θ)/λ and a ≪ λ.
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Students have asked these similar questions
The double slit experiment is a quintessential wave experiment in physics. Given a third order fringe 5.00 cm away from the central fringe, a double slit with a
separation of 0.0510 mm, and a distance between the slits and the fringes of 1.50 m, find the following.
(a) wavelength
56E-9 X
For a double slit, how is the distance from the central maximum to any constructive interference site (bright fringe) related to the separation of the
slits, distance between the slits and the interference pattern, and the wavelength of the light? nm
(b) separation between adjacent fringes
cm
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Chapter 36 Solutions
Fundamentals of Physics, Extended
Ch. 36 - You are conducting a single-slit diffraction...Ch. 36 - Prob. 6QCh. 36 - At night many people see rings called entoptic...Ch. 36 - a For a given diffraction grating, does the...Ch. 36 - a Figure 36-34a shows the lines produced by...Ch. 36 - In three arrangements you view two closely spaced...Ch. 36 - For a certain diffraction grating, the ratio /a of...Ch. 36 - GO The distance between the first and fifth minima...Ch. 36 - What must be the ratio of the slit width to the...Ch. 36 - A plane wave of wavelength 590 nm is incident on a...
Ch. 36 - In conventional television, signals are broadcast...Ch. 36 - A single slit is illuminated by light of...Ch. 36 - Monochromatic light of wavelength 441 nm is...Ch. 36 - Light of wavelength 633 nm is incident on a narrow...Ch. 36 - SSM ILW A slit 1.00 mm wide is illuminated by...Ch. 36 - Monochromatic light with wavelength 538 nm is...Ch. 36 - a Show that the values of a at which intensity...Ch. 36 - The wall of a large room is covered with acoustic...Ch. 36 - a How far from grains of red sand must you be to...Ch. 36 - The radar system of a navy cruiser transmits at a...Ch. 36 - SSM WWW Estimate the linear separation of two...Ch. 36 - SSM The two headlights of an approaching...Ch. 36 - Entoptic halos. If someone looks at a bright...Ch. 36 - ILW Find the separation of two points on the Moons...Ch. 36 - The telescopes on some commercial surveillance...Ch. 36 - If Superman really had x-ray vision at 0.10 nm...Ch. 36 - a What is the angular separation of two stars if...Ch. 36 - SSM Millimeter-wave radar generates a narrower...Ch. 36 - a A circular diaphragm 60 cm in diameter...Ch. 36 - Prob. 33PCh. 36 - Suppose that the central diffraction envelope of a...Ch. 36 - A beam of light of a single wavelength is incident...Ch. 36 - In a double-slit experiment, the slit separation d...Ch. 36 - In a certain two-slit interference pattern, 10...Ch. 36 - GO a In a double-slit experiment, what largest...Ch. 36 - SSM WWW a How many bright fringes appear between...Ch. 36 - Perhaps to confuse a predator, some tropical...Ch. 36 - A diffraction grating 20.0 mm wide has 6000...Ch. 36 - Visible light is incident perpendicularly on a...Ch. 36 - SSM ILW A grating has 400 lines/mm. How many...Ch. 36 - A diffraction grating is made up of slits of width...Ch. 36 - SSM WWW Light of wavelength 600 nm is incident...Ch. 36 - With light from a gaseous discharge tube incident...Ch. 36 - GO A diffraction grating having 180 lines/mm is...Ch. 36 - GO A beam of light consisting of wavelengths from...Ch. 36 - Prob. 53PCh. 36 - Derive this expression for the intensity pattern...Ch. 36 - SSM ILW A source containing a mixture of hydrogen...Ch. 36 - a How many rulings must a 4.00-cm-wide diffraction...Ch. 36 - Light at wavelength 589 nm from a sodium lamp is...Ch. 36 - A grating has 600 rulings/mm and is 5.0 mm wide. a...Ch. 36 - A diffraction grating with a width of 2.0 cm...Ch. 36 - Prob. 60PCh. 36 - With a particular grating the sodium doublet...Ch. 36 - A diffraction grating illuminated by monochromatic...Ch. 36 - Assume that the limits of the visible spectrum are...Ch. 36 - What is the smallest Bragg angle for x rays of...Ch. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - If first-order reflection occurs in a crystal at...Ch. 36 - X rays of wavelength 0.12 nm are found to undergo...Ch. 36 - An astronaut in a space shuttle claims she can...Ch. 36 - SSM Visible light is incident perpendicularly on a...Ch. 36 - A beam of light consists of two wavelengths,...Ch. 36 - SSM In a single-slit diffraction experiment, there...Ch. 36 - GO A double-slit system with individual slit...Ch. 36 - The pupil of a persons eye has a diameter of 5.00...Ch. 36 - A grating with d = 1.50 m is illuminated at...Ch. 36 - SSM In two-slit interference, if the slit...Ch. 36 - GO In a two-slit interference pattern, what is the...Ch. 36 - A beam of light with a narrow wavelength range...Ch. 36 - If you look at something 40 m from you, what is...Ch. 36 - Two yellow flowers are separated by 60 cm along a...Ch. 36 - In a single-slit diffraction experiment, what must...Ch. 36 - A diffraction grating 3.00 cm wide produces the...Ch. 36 - A single-slit diffraction experiment is set up...Ch. 36 - A diffraction grating has 8900 slits across 1.20...Ch. 36 - In an experiment to monitor the Moons surface with...Ch. 36 - In June 1985, a laser beam was sent out from the...Ch. 36 - A diffraction grating 1.00 cm wide has 10 000...Ch. 36 - SSM If you double the width of a single slit, the...Ch. 36 - When monochromatic light is incident on a slit...Ch. 36 - A spy satellite orbiting at 160 km above Earths...
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- Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forwardBoth sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.arrow_forwardWhen a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?arrow_forward
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