Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Textbook Question
Chapter 36, Problem 79P
SSM A diffraction grating has resolving power R = λavg/Δλ = Nm. (a) Show that the corresponding frequency range ∆ƒ that can just be resolved is given by ∆ƒ = c/Nmλ. (b) From Fig. 36-22, show that the times required for light to travel along the ray at the bottom of the figure and the ray at the top differ by ∆t = (Nd/c) sin θ. (c) Show that (∆ƒ)(∆t) = 1, this relation being independent of the various grating parameters. Assume N ≫1.
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..40 Go Figure 36-45 gives the pa- ß (rad)
rameter of Eq. 36-20 versus the ßs
sine of the angle in a two-slit inter-
ference experiment using light of
wavelength 435 nm. The vertical axis
scale is set by B, = 80.0 rad. What are
(a) the slit separation, (b) the total
number of interference maxima
(count them on both sides of the
pattern's center), (c) the smallest angle for a maxima, and (d) the
greatest angle for a minimum? Assume that none of the interference
maxima are completely eliminated by a diffraction minimum.
0
sin 0
0.5
1
Figure 36-45 Problem 40.
Light of free-space wavelength 20 = 0.75 um is guided by a thin planar film of thickness d=2.5 μm and refractive index ni = 1.65, surrounded by a medium of refractive index n2 =1.45.
(a) Determine
(i) the critical angle Oc;
(ii) the numerical aperture NA; and
(iii) the maximum acceptance angle ao for light originating in air (no = 1.00).
(b) Determine the number of TE modes possible at this wavelength. Determine
(i) the propagation angle a and
(ii) the propagation constant ß of the m= 0 TE mode (you will need to find a graphical or numerical approximate solution here). (iii) What is the wavelength of this mode inside the medium, measured along the z axis?
(d)
(i) Determine the extinction coefficient y for the same m= O mode.
(ii) At what distance into the outer medium does the field drop to 1% of its magnitude at the boundary?
www In Fig. 35-48,
an airtight chamber of length d
5.0 cm is placed in one of the arms
of a Michelson interferometer. (The
glass window on each end of the cham-
ber has negligible thickness.) Light of
wavelength A = 500 nm is used.
Evacuating the air from the chamber
causes a shift of 60 bright fringes. From
these data and to six significant figures,
81 SSM
Mirror
%3D
Source
Mirror
To vacuum
find the index of refraction of air at
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Chapter 36 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 36 - You are conducting a single-slit diffraction...Ch. 36 - In a single-slit diffraction experiment, the top...Ch. 36 - For three experiments, Fig. 36-30 gives the...Ch. 36 - For three experiments, Fig. 36-31 gives versus...Ch. 36 - Figure 36-32 shows four choices for the...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 - Figure 36-33 shows a red line and a green line of...Ch. 36 - For the situation of Question 9 and Fig. 36-33, if...
Ch. 36 - a Figure 36-34a shows the lines produced by...Ch. 36 - Figure 36-35 shows the bright fringes that lie...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 - Sound waves with frequency 3000 Hz and speed 343...Ch. 36 - SSM ILW A slit 1.00 mm wide is illuminated by...Ch. 36 - GO Manufacturers of wire and other objects of...Ch. 36 - A 0.10-mm-wide slit is illuminated by light of...Ch. 36 - Figure 36-38 gives versus the sine of the angle ...Ch. 36 - Monochromatic light with wavelength 538 nm is...Ch. 36 - In the single-slit diffraction experiment of Fig....Ch. 36 - SSM WWW The full width at half-maximum FWHM of a...Ch. 36 - Babinets principle. A monochromatic beam of...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 - Prob. 22PCh. 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 - GO The wings of tiger beetles Fig. 36-41 are...Ch. 36 - a What is the angular separation of two stars if...Ch. 36 - GO Floaters. The floaters you see when viewing a...Ch. 36 - SSM Millimeter-wave radar generates a narrower...Ch. 36 - a A circular diaphragm 60 cm in diameter...Ch. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 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 - Light of wavelength 440 nm passes through a double...Ch. 36 - GO Figure 36-45 gives the parameter of Eq. 36-20...Ch. 36 - GO In the two-slit interference experiment of Fig....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 - Prob. 67PCh. 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 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Consider a two-dimensional square crystal...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 - SSM A diffraction grating has resolving power R =...Ch. 36 - The pupil of a persons eye has a diameter of 5.00...Ch. 36 - Prob. 81PCh. 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...Ch. 36 - Suppose that two points are separated by 2.0 cm....Ch. 36 - A diffraction grating has 200 lines/mm. Light...Ch. 36 - A diffraction grating has 200 rulings/mm, and it...Ch. 36 - Prob. 101PCh. 36 - Monochromatic light wavelength = 450 nm is...Ch. 36 - Light containing a mixture of two wavelengths, 500...Ch. 36 - Prob. 104PCh. 36 - Show that a grating made up of alternately...Ch. 36 - Light of wavelength 500 nm diffracts through a...Ch. 36 - If, in a two-slit interference pattern, there are...Ch. 36 - White light consisting of wavelengths from 400 nm...Ch. 36 - If we make d = a in Fig. 36-50, the two slits...Ch. 36 - Derive Eq. 36-28, the expression for the...Ch. 36 - Prob. 111PCh. 36 - How many orders of the entire visible spectrum...Ch. 36 - An acoustic double-slit system of slit separation...Ch. 36 - Two emission lines have wavelengths and ,...
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