University Physics with Modern Physics, Books a la Carte Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780133983623
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 35, Problem 35.54P
DATA In your research lab, a very thin, flat piece of glass with refractive index 1.40 and uniform thickness covers the opening of a chamber that holds a gas sample. The refractive indexes of the gases on either side of the glass are very close to unity. To determine the thickness of the glass, you shine coherent light of wavelength λ0 in vacuum at normal incidence onto the surface of the glass. When λ0 = 496 nm, constructive interference occurs for light that is reflected at the two surfaces of the glass. You find that the next shorter wavelength in vacuum for which there is constructive interference is 386 nm. (a) Use these measurements to calculate the thickness of the glass. (b) What is the longest wavelength in vacuum for which there is constructive interference for the reflected light?
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A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.
(a) the time interval during which the ball is in motion
2R
(b) the ball's speed at the peak of its path
v=
Rg 2
√ sin 26, V 3
(c) the initial vertical component of its velocity
Rg
sin ei
sin 20
(d) its initial speed
Rg
√ sin 20
×
(e) the angle 6, expressed in terms of arctan of a fraction.
1
(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.
hmax
R2
(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
Xmax
R√3
2
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce.
8
(a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)?
24
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Cone-bounce
no-bounce
0.940
Chapter 35 Solutions
University Physics with Modern Physics, Books a la Carte Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 35.1 - Consider a point in Fig. 35.3 on the positive...Ch. 35.2 - You shine a tunable laser (whose wavelength can be...Ch. 35.3 - A two-slit interference experiment uses coherent...Ch. 35.4 - A thin layer of benzene (n = 1.501) lies on top of...Ch. 35.5 - You are observing the pattern of fringes in a...Ch. 35 - A two-slit interference experiment is set up, and...Ch. 35 - Could an experiment similar to Youngs two-slit...Ch. 35 - Monochromatic coherent light passing through two...Ch. 35 - In a two-slit interference pattern on a distant...Ch. 35 - Would the headlights of a distant car form a...
Ch. 35 - The two sources S1 and S2 shown in Fig. 35.3 emit...Ch. 35 - Could the Young two-slit interference experiment...Ch. 35 - Coherent red light illuminates two narrow slits...Ch. 35 - Coherent light with wavelength falls on two...Ch. 35 - Prob. 35.10DQCh. 35 - If the monochromatic light shown in Fig. 35.5a...Ch. 35 - In using the superposition principle to calculate...Ch. 35 - Prob. 35.13DQCh. 35 - A very thin soap film (n = 1.33), whose thickness...Ch. 35 - Interference can occur in thin films. Why is it...Ch. 35 - If we shine while light on an air wedge like that...Ch. 35 - Prob. 35.17DQCh. 35 - When a thin oil film spreads out on a puddle of...Ch. 35 - Section 35.1 Interference and Coherent Sources...Ch. 35 - Two speakers that are 15.0 m apart produce...Ch. 35 - A radio transmitting station operating at a...Ch. 35 - Radio Interference. Two radio antennas A and B...Ch. 35 - Prob. 35.5ECh. 35 - Two light sources can be adjusted to emit...Ch. 35 - Section 35.2 Two-Source Interference of Light...Ch. 35 - Coherent light with wavelength 450 nm falls on a...Ch. 35 - Two slits spaced 0.450 mm apart are placed 75.0 cm...Ch. 35 - If the entire apparatus of Exercise 35.9 (slits,...Ch. 35 - Two thin parallel slits that are 0.0116 mm apart...Ch. 35 - Coherent light with wavelength 400 nm passes...Ch. 35 - Two very narrow slits are spaced 1.80 m apart and...Ch. 35 - Coherent light that contains two wavelengths. 660...Ch. 35 - Coherent light with wavelength 600 nm passes...Ch. 35 - Coherent light of frequency 6.32 1014 Hz passes...Ch. 35 - In a two-slit interference pattern, the intensity...Ch. 35 - Coherent sources A and B emit electromagnetic...Ch. 35 - Coherent light with wavelength 500 nm passes...Ch. 35 - Two slits spaced 0.260 mm apart are 0.900 m from a...Ch. 35 - Consider two antennas separated by 9.00 m that...Ch. 35 - Two slits spaced 0.0720 mm apart are 0.800 m from...Ch. 35 - What is the thinnest film of a coating with n =...Ch. 35 - Nonglare Glass. When viewing a piece of art that...Ch. 35 - Two rectangular pieces of plane glass are laid one...Ch. 35 - A place of glass 9.00 cm long is placed in contact...Ch. 35 - A uniform film of TiO2, 1036 nm thick and having...Ch. 35 - A plastic film with index of refraction 1.70 is...Ch. 35 - The walls of a soap bubble have about the same...Ch. 35 - A researcher measures the thickness of a layer of...Ch. 35 - Prob. 35.31ECh. 35 - What is the thinnest soap film (excluding the case...Ch. 35 - How far must the mirror M2 (see Fig. 35.19) of the...Ch. 35 - Jan first uses a Michelson interferometer with the...Ch. 35 - One round face of a 3.25-m, solid, cylindrical...Ch. 35 - Newtons rings are visible when a planoconvex lens...Ch. 35 - BIO Coating Eyeglass Lenses. Eyeglass lenses can...Ch. 35 - BIO Sensitive Eyes. After an eye examination, you...Ch. 35 - Two flat plates of glass with parallel faces are...Ch. 35 - In a setup similar to that of Problem 35.39, the...Ch. 35 - Suppose you illuminate two thin slits by...Ch. 35 - CP CALC A very thin sheet of brass contains two...Ch. 35 - Two radio antennas radiating in phase are located...Ch. 35 - Prob. 35.44PCh. 35 - CP A thin uniform film of refractive index 1.750...Ch. 35 - GPS Transmission. The GPS (Global Positioning...Ch. 35 - White light reflects at normal incidence from the...Ch. 35 - Laser light of wavelength 510 nm is traveling in...Ch. 35 - Red light with wavelength 700 nm is passed through...Ch. 35 - BIO Reflective Coatings and Herring. Herring and...Ch. 35 - After a laser beam passes through two thin...Ch. 35 - DATA In your summer job at an optics company, you...Ch. 35 - DATA Short-wave radio antennas A and B are...Ch. 35 - DATA In your research lab, a very thin, flat piece...Ch. 35 - CP The index of refraction of a glass rod is 1.48...Ch. 35 - CP Figure P35.56 shows an interferometer known as...Ch. 35 - INTERFERENCE AND SOUND WAVES. Interference occurs...Ch. 35 - The professor returns the apparatus to the...Ch. 35 - The professor again returns the apparatus to its...Ch. 35 - The professor once again returns the apparatus to...
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