College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 24, Problem 69AP
Figure P24.69 shows a radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 × 102 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a λ/2 phase shift occurs upon reflection, determine the longest wavelengths that interior (a) constructively and (b) destructively.
Figure P24.69
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Figure P24.69 shows
d-
radio-wave transmitter and
a receiver, both h = 50.0 m
above the ground and d =
6.00 X 102 m apart. The
receiver can receive signals
directly from the transmit-
ter and indirectly from
signals that bounce off the
ground. If the ground is
level between the transmitter and receiver and a /2 phase
shift occurs upon reflection, determine the longest wave-
lengths that interfere (a) constructively and (b) destructively.
Transmitter
Receiver
Figure P24.69
36. Figure P36.35 shows a radio-wave transmitter and a receiver
separated by a distance d and both a distance h above the
ground. The receiver can receive signals both directly from
the transmitter and indirectly from signals that reflect
from the ground. Assume the ground is level between the
transmitter and receiver and a 180* phase shift occurs upon
reflection. Determine the longest wavelengths that interfere
(a) constructively and (b) destructively.
Two antennas located at points A and B are broadcasting radio waves of frequency 96.0 MHz, perfectly in phase with each other. The two antennas are separated by a distance d= 6.20
m. An observer, P, is located on the x axis, a distance x= 84.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the
waves arriving at P from antennas A and B?
A
P
X
B
4.594x10-¹ rad
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Now observer P walks along the x axis toward antenna A. What is P's distance from A when he first observes fully destructive interference between the two waves?
1.203 m
As P gets closer A, the path length difference gets larger. What's the smallest path length difference that gives destructive interference?
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If observer P continues walking until he reaches antenna A, at how many places along the x…
Chapter 24 Solutions
College Physics
Ch. 24.2 - In a two-slit interference pattern projected on a...Ch. 24.2 - if the distance between the slits is doubled in...Ch. 24.2 - A Youngs double-slit experiment is performed with...Ch. 24.4 - Suppose Youngs experiment is carried out in air,...Ch. 24.7 - In a single-alit diffraction experiment, as the...Ch. 24.8 - If laser light is reflected from a phonograph...Ch. 24 - Your automobile has two headlights. What sort of...Ch. 24 - A plane monochromatic light wave is incident on a...Ch. 24 - A plane monochromatic light wave is incident on a...Ch. 24 - If a Youngs experiment carried out in air is...
Ch. 24 - Sodiums emission lines at 589.0 nm and 589.6 nm...Ch. 24 - Count the number of 180 phase reversals for the...Ch. 24 - Figure CQ24.7 shows rays with wavelength incident...Ch. 24 - Fingerprints left on a piece of glass such as a...Ch. 24 - In everyday experience, why are radio waves...Ch. 24 - Suppose reflected while light is used to observe a...Ch. 24 - Would it be possible to place a nonreflective...Ch. 24 - Certain sunglasses use a polarizing material to...Ch. 24 - Why is it so much easier to perform interference...Ch. 24 - A soap film is held vertically in air and is...Ch. 24 - Consider a dark fringe in an interference pattern...Ch. 24 - Holding your hand at arms length, you can readily...Ch. 24 - A laser beam is incident on two slits with a...Ch. 24 - In a Youngs double-slit experiment, a set of...Ch. 24 - Light at 633 nm from a helium-neon laser shines on...Ch. 24 - Light of wavelength 620. nm falls on a double...Ch. 24 - In a location where the speed of sound is 354 m/s....Ch. 24 - A double slit separated by 0.058 0 mm is placed...Ch. 24 - Two radio antennas separated by d = 3.00 102 cm....Ch. 24 - Prob. 8PCh. 24 - Monochromatic light falls on a screen 1.75 m from...Ch. 24 - A pair of parallel slits separated by 2.00 104 m...Ch. 24 - A riverside warehouse has two open doors, as in...Ch. 24 - A student sets up a double-slit experiment using...Ch. 24 - Radio waves from a star, of wavelength 2.50 102...Ch. 24 - Monochromatic light of wavelength is incident on...Ch. 24 - Waves from a radio station have a wavelength of...Ch. 24 - A soap bubble (n = 1.33) having a wall thickness...Ch. 24 - A thin layer of liquid methylene iodide (n =...Ch. 24 - A thin film of oil (n = 1.25) is located on...Ch. 24 - A thin film of glass (n = 1.52) of thickness 0.420...Ch. 24 - A transparent oil with index of refraction 1.29...Ch. 24 - A possible means for making an airplane invisible...Ch. 24 - An oil film (n = 1.45) floating on water is...Ch. 24 - Astronomers observe the chromosphere of the Sun...Ch. 24 - A spacer is cut from a playing card of thickness...Ch. 24 - An investigator finds at a fiber at a crime scene...Ch. 24 - A plano-convex lens with radius of curvature R =...Ch. 24 - A thin film of oil (n = 1.45) of thickness 425 nm...Ch. 24 - Prob. 28PCh. 24 - A thin film of glycerin (n = 1.173) of thickness...Ch. 24 - Prob. 30PCh. 24 - Light of wavelength 5.40 102 nm passes through a...Ch. 24 - A student and his lab partner create a single slit...Ch. 24 - Light of wavelength 587.5 nm illuminates a slit of...Ch. 24 - Microwaves of wavelength 5.00 cm enter a long,...Ch. 24 - A beam of monochromatic light is diffracted by a...Ch. 24 - A screen is placed 50.0 cm from a single slit that...Ch. 24 - A slit of width 0.50 mm is illuminated with light...Ch. 24 - The second-order dark fringe in a single-slit...Ch. 24 - Three discrete spectral lines occur at angles of...Ch. 24 - Intense white light is incident on a diffraction...Ch. 24 - The hydrogen spectrum has a red line at 656 nm and...Ch. 24 - Prob. 42PCh. 24 - A helium-neon laser ( = 632.8 nm) is used to...Ch. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - White light is incident on a diffraction grating...Ch. 24 - Sunlight is incident on a diffraction grating that...Ch. 24 - Monochromatic light at 577 nm illuminates a...Ch. 24 - Light of wavelength 5.00 102 nm is incident...Ch. 24 - Prob. 50PCh. 24 - The angle of incidence of a light beam in air onto...Ch. 24 - Unpolarized light passes through two Polaroid...Ch. 24 - The index of retraction of a glass plate is 1.52....Ch. 24 - At what angle above the horizon is the Sun if...Ch. 24 - Prob. 55PCh. 24 - The critical angle for total internal reflection...Ch. 24 - Equation 24.14 assumes the incident light is in...Ch. 24 - Prob. 58PCh. 24 - Three polarizing plates whose planes are parallel...Ch. 24 - Light of intensity I0 is polarized vertically and...Ch. 24 - Light with a wavelength in vacuum of 546.1 nm...Ch. 24 - Light from a helium-neon laser ( = 632.8 nm) is...Ch. 24 - Laser light with a wavelength of 632.6 nm is...Ch. 24 - In a Youngs interference experiment, the two slits...Ch. 24 - Light of wavelength 546 nm (the intense green line...Ch. 24 - The two speakers are placed 35.0 cm apart. A...Ch. 24 - Interference effects are produced at point P on a...Ch. 24 - Prob. 68APCh. 24 - Figure P24.69 shows a radio-wave transmitter and a...Ch. 24 - Three polarizers, centered on a common axis and...Ch. 24 - Prob. 71APCh. 24 - A plano-convex lens (flat on one side, convex on...Ch. 24 - A diffraction pattern is produced on a screen 1.40...Ch. 24 - Prob. 74AP
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- Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.arrow_forward2. = A planar dielectric waveguide with the core refractive index n₁ 1.56 and the 1.47 is used to transmit light of wavelength o 750 nm. Suppose cladding index n₂ = = the width of the waveguide is d = 1.0 μm: (a) Determine the critical angle 0c at the interface. (b) Calculate and plot the phase change on reflection o, as a function of angle of incidence in the range 0c < 0arrow_forwardIn a physics lab, light with wavelength 490 nm travels in air from a laser to a photocell in 17.0 ns. When a slab of glass 0.840 m thick is placed in the light beam, with the beam incident along the normal to the parallel faces of the slab, it takes the light 21.2 ns to travel from the laser to the photocell. What is the wavelength of the light in the glass?arrow_forward= 35. Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive sig- nals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180° phase shift occurs upon reflection. 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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY