Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 35, Problem 86P
GO In Fig. 35-51a, the waves along rays 1 and 2 are initially in phase, with the same wavelength λ in air. Ray 2 goes through a material with length L and index of refraction n. The rays are then reflected by mirrors to a common point P on a screen. Suppose that we can vary n from n = 1.0 to n = 2.5. Suppose also that, from n = 1.0 to n = ns = 1.5, the intensity I of the light at point P varies with n as given in Fig. 35-51b. At what values of n greater than 1.4 is intensity I (a) maximum and (b) zero? (c) What multiple of λ gives the phase difference between the rays at point P when n = 2.0?
Figure 35-51 Problems 86 and 87.
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*67 O In the ray diagram of Fig. 33-63, where the angles are not
drawn to scale, the ray is incident at the critical angle on the inter-
face between materials 2 and 3. Angle o = 60.0°, and two of the in-
dexes of refraction are n = 1.70 and n2 = 1.60. Find (a) index of
refraction n3 and (b) angle 0. (c) If øi decreased, does light refract
into material 3?
Figure 33-63 Problem 67.
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
pump
atmospheric pressure.
53 SSM www ILW In Fig. 33-53, a ray is incident on one face
of a triangular glass prism in air. The angle of incidence e is chosen
so that the emerging ray also makes the same angle e with the nor-
mal to the other face. Show that the index of refraction n of the
glass prism is given by
sin ( + 6)
sin o
where o is the vertex angle of the prism and is the deviation
angle, the total angle through which the beam is turned in passing
through the prism. (Under these conditions the deviation angle u
has the smallest possible value, which is called the angle of mini-
mum deviation.)
Figure 33-53 Problems 53 and 64.
Chapter 35 Solutions
Fundamentals of Physics Extended
Ch. 35 - Does the spacing between fringes in a two-slit...Ch. 35 - a If you move from one bright fringe in a two-slit...Ch. 35 - Figure 35-22 shows two light rays that are...Ch. 35 - In Fig. 35-23, three pulses of lighta, b, and cof...Ch. 35 - Is there an interference maximum, a minimum, an...Ch. 35 - Figure 35-24a gives intensity I verus position x...Ch. 35 - Figure 35-25 shows two sources S1 and S2 that emit...Ch. 35 - Figure 35-26 shows two rays of light, of...Ch. 35 - Light travels along the length of a 1500-nm-long...Ch. 35 - Figure 35-27a shows the cross section of a...
Ch. 35 - Figure 35-28 shows four situations in which light...Ch. 35 - Figure 35-29 shows the transmission of light a...Ch. 35 - Figure 15-30 shows three situations in which two...Ch. 35 - In Fig. 35-31, a light wave along ray r1 reflects...Ch. 35 - In Fig. 35-31, a light wave along ray r1 reflects...Ch. 35 - SSM In Fig 35-4, assume that two waves of light in...Ch. 35 - In Fig. 35-32a, a beam of light in material 1 is...Ch. 35 - How much faster, in meters per second, does light...Ch. 35 - The wavelength of yellow sodium light in air is...Ch. 35 - The speed of yellow light from a sodium lamp in a...Ch. 35 - In Fig 35-33, two light pulses are sent through...Ch. 35 - In Fig. 35-4, assume that the two light waves, of...Ch. 35 - Figure 35-27a shows the cross section of a...Ch. 35 - Suppose that the two waves in Fig. 35-4 have...Ch. 35 - In Fig. 35-35, two light rays go through different...Ch. 35 - GO ILW Two waves of light in air, of wavelength =...Ch. 35 - In a double-slit arrangement the slits are...Ch. 35 - SSM A double-slit arrangement produces...Ch. 35 - A double-slit arrangement produces interference...Ch. 35 - Prob. 17PCh. 35 - In the two-slit experiment of Fig. 35-10, let...Ch. 35 - SSM ILW Suppose that Youngs experiment is...Ch. 35 - Monochromatic green light, of wavelength 550 nm,...Ch. 35 - In a double-slit experiment, the distance between...Ch. 35 - In Fig. 35-37. two isotropic point sources S1, and...Ch. 35 - Prob. 23PCh. 35 - In Fig. 35-39, two isotropic point sources S1 and...Ch. 35 - GO In Fig. 35-40, two isotropic point sources of...Ch. 35 - In a doublc-slit experiment, the fourth-order...Ch. 35 - A thin flake of mica n = 1.58 is used to cover one...Ch. 35 - Go Figure 35-40 shows I two isotropic point...Ch. 35 - Prob. 29PCh. 35 - Find the sum y of the following quantities: y1 =...Ch. 35 - ILW Add the quantities y1= 10 sin t, y2 = 15sint ...Ch. 35 - GO In the double-slit experiment of Fig. 35-10....Ch. 35 - GO Three electromagnetic waves travel through a...Ch. 35 - In Ihe double-slit experiment of Fig, 35-10, the...Ch. 35 - SSM We wish to coal flat glass n = 1.50 with a...Ch. 35 - A 600-nm-thick soap film n = 1.40 in air is...Ch. 35 - The rhinestones in costume jewelry are glass with...Ch. 35 - White light is sent downward onto a horizontal...Ch. 35 - ilw Light of wavelength 624 nm is incident...Ch. 35 - A thin film of acetone n = 1.25 coats a thick...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - The reflection of perpendicularly incident white...Ch. 35 - A plane wave of monochromatic light is incident...Ch. 35 - SSM WWW A disabled tanker leaks kerosene n = 1.20...Ch. 35 - A thin film, with a thickness of 272.7 nm and with...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - GO In Fig. 35-44, a broad beam of light of...Ch. 35 - GO In Fig. 35-45, a broad beam of light of...Ch. 35 - In Fig. 35-45, two microscope slides touch at one...Ch. 35 - In Fig. 35-45, a broad beam of monochromatic light...Ch. 35 - SSM In Fig. 35-45, a broad beam of light of...Ch. 35 - GO Two rectangular glass plates n = 1.60 are in...Ch. 35 - SSM ILW Figure 35-46a shows a lens with radius of...Ch. 35 - The lens in a Newtons rings experiment see Problem...Ch. 35 - Prob. 77PCh. 35 - A thin film of liquid is held in a horizontal...Ch. 35 - If mirror M2 in a Michelson interferometer Fig....Ch. 35 - A thin film with index of refraction n = 1.40 is...Ch. 35 - SSM WWW In Fig. 35-48, an airtight chamber of...Ch. 35 - The element sodium can emit light at two...Ch. 35 - Prob. 83PCh. 35 - GO In Figure 35-50, two isotropic point sources S1...Ch. 35 - SSM A double-slit arrangement produces bright...Ch. 35 - GO In Fig. 35-51a, the waves along rays 1 and 2...Ch. 35 - SSM In Fig. 35-51a, the waves along rays 1 and 2...Ch. 35 - Light of wavelength 700.0 nm is sent along a route...Ch. 35 - Prob. 89PCh. 35 - In Fig. 35-54, two isotropic point sources S1 and...Ch. 35 - Prob. 91PCh. 35 - Figure 35-56a shows two light rays that are...Ch. 35 - SSM If the distance between the first and tenth...Ch. 35 - Figure 35-57 shows an optical fiber in which a...Ch. 35 - SSM Two parallel slits are illuminated with...Ch. 35 - A camera lens with index of refraction greater...Ch. 35 - SSM Light of wavelength is used in a Michelson...Ch. 35 - In two experiments, light is to be sent along the...Ch. 35 - Figure 35-58 shows the design of a Texas arcade...Ch. 35 - A thin film suspended in air is 0.410 m thick and...Ch. 35 - Find the slit separation of a double-slit...Ch. 35 - In a phasor diagram for any point on the viewing...Ch. 35 - In Fig. 35-59, an oil drop n = 1.20 floats on the...Ch. 35 - Prob. 104PCh. 35 - The two point sources in Fig. 35-61 emit coherent...
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- 63 In Fig. 33-60, light enters a 90° triangular prism at point P with inci- dent angle 6, and then some of it refracts at point Q with an angle of refraction of 90°. (a) What is the in- dex of refraction of the prism in terms of 6? (b) What, numerically, is the maximum value that the index of refraction can have? Does light emerge at Q if the incident angle at P is (c) increased slightly and (d) decreased slightly? Figure 33-60 Problem 63.arrow_forward*66 o In Fig. 33-62, a light ray in air is incident at angle 6, on a block of transparent plastic with an index of refraction of 1.56. The dimen- sions indicated are H= 2.00 cm and W = 3.00 cm. The light passes through the block to one of its sides and there undergoes reflection (in- side the block) and possibly refraction (out into the air). This is the point of first reflection. The re- flected light then passes through the block to another of its sides-a point of second reflection. If 6 = 40°, on which side is the point of (a) first reflection and (b) second reflection? If there is refraction at the point of (c) first reflection and (d) second reflection, give the angle of refraction; if not, answer "none." If 61 = 70°, on which side is the point of (e) first reflection and (f) second reflection? If there is refrac- tion at the point of (g) first reflection and (h) second reflection, give the angle of refraction; if not, answer “none." н Figure 33-62 Problem 66.arrow_forwardThe index of refraction of a glass rod is 1.48 at T = 20.0°C and varies linearly with temperature, with a coefficient of 2.50 x 10-5/C°. The coefficient of linear expansion of the glass is 5.00 x 10-6/C°. At 20.0°C the length of the rod is 3.00 cm. A Michelson interferometer has this glass rod in one arm, and the rod is being heated so that its temperature increases at a rate of 5.00 C°/min. The light source has wavelength λ = 589 nm, and the rod initially is at T = 20.0°C. How many fringes cross the field of view each minute?arrow_forward
- 106 In Fig. 33-78, where n, = 1.70, n2 = 1.50, and nz = 1.30, light re- %3D fracts from material 1 into material 2. If it is incident at point A at the critical angle for the interface be- tween materials 2 and 3, what are (a) the angle of refraction at point B and (b) the initial angle 0? If, in- stead, light is incident at B at the critical angle for the interface between materials 2 and 3, what are (c) the angle of refraction at point A and (d) the initial angle e? If, instead of all that, light is incident at point A at Brewster's angle for the interface between materials 2 and 3, what are (e) the angle of refraction at point B and (f) the initial angle 6? Figure 33-78 Problem 106.arrow_forward77 E Rainbow. Figure 33-67 shows a light ray entering and then leaving a falling, spherical raindrop after one internal reflec- tion (see Fig. 33-21a). The final direction of travel is deviated (turned) from the initial direction of travel by angular deviation Bdev- (a) Show that 6sey is Odey = 180° + 20, – 48, where e, is the angle of incidence of the ray on the drop and 0, is the angle of refraction of the ray within the drop. (b) Using Snell's law, substitute for 6, in terms of 6, and the index of refraction n of the water. Then, on a graphing calculator or with a computer graphing package, graph Osey versus 0, for the range of possible 6; values and for n = 1.331 for red light (at one end of the visible spectrum) and n = 1.333 for blue light (at the other end). The red-light curve and the blue-light curve have different minima, which means that there is a different angle of minimum deviation for each color. The light of any given color that leaves the drop at that color's angle of…arrow_forwardPlease asaparrow_forward
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