Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 37, Problem 37.61AP
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.
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35. Figure P36.35 shows a radio-wave transmitter and a receiver
separated by a distance d - 50.0 m and both a distance
A - 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. Determine the longest wave-
lengths that interfere (a) constructively and (b) destructively.
Transmitter
Recriver
Figure P36.35 Problems 35 and 36.
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
Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.7 m. An observer is located at point P on the x axis, a distance x = 110.0 m from antenna A. The points A, P, and B form a right triangle.
What is the phase difference between the waves arriving at P from antennas A and B? Enter your answer in radians
Chapter 37 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 37 - Which of the following causes the fringes in a...Ch. 37 - Using Figure 36.6 as a model, sketch the...Ch. 37 - One microscope slide is placed on top of another...Ch. 37 - While using a Michelson interferometer (shown in...Ch. 37 - Four trials of Young's double-slit experiment are...Ch. 37 - Suppose Youngs double-slit experiment is performed...Ch. 37 - Green light has a wavelength of 500 nm in air. (i)...Ch. 37 - A thin layer of oil (n = 1.25) is floating on...Ch. 37 - A monochromatic beam of light of wavelength .500...Ch. 37 - According to Table 35.1, the index of refraction...
Ch. 37 - Suppose you perform Youngs double-slit experiment...Ch. 37 - A plane monochromatic light wave is incident on a...Ch. 37 - A film of' oil on a puddle in a parking lot shows...Ch. 37 - Prob. 37.1CQCh. 37 - Prob. 37.2CQCh. 37 - Explain why two flashlights held close together do...Ch. 37 - A lens with outer radius of curvature R and index...Ch. 37 - Consider a dark fringe in a double-slit...Ch. 37 - Prob. 37.6CQCh. 37 - What is the necessary condition on the path length...Ch. 37 - In a laboratory accident, you spill two liquids...Ch. 37 - A theatrical smoke machine fills the space bet...Ch. 37 - Two slits are separated by 0.320 mm. A beam of...Ch. 37 - Light of wavelength 530 nm illuminates a pair of...Ch. 37 - A laser beam is incident on two slits with a...Ch. 37 - A Youngs interference experiment is performed with...Ch. 37 - Youngs double-slit experiment is performed with...Ch. 37 - Why is the following situation impossible? Two...Ch. 37 - Light of wavelength 620 nm falls on a double slit,...Ch. 37 - In a Youngs double-slit experiment, two parallel...Ch. 37 - pair of narrow, parallel slits separated by 0.250...Ch. 37 - Light with wavelength 442 nm passes through a...Ch. 37 - The two speakers of a boom box are 35.0 cm apart....Ch. 37 - Prob. 37.12PCh. 37 - Two radio antennas separated by d = 300 in as...Ch. 37 - A riverside warehouse has several small doors...Ch. 37 - A student holds a laser that emits light of...Ch. 37 - A student holds a laser that emits light of...Ch. 37 - Radio waves of wavelength 125 m from a galaxy...Ch. 37 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 37 - Coherent light rays of wavelength strike a pair...Ch. 37 - Monochromatic light of wavelength is incident on...Ch. 37 - In the double-slit arrangement of Figure P36.13, d...Ch. 37 - Youngs double-slit experiment underlies the...Ch. 37 - Two slits are separated by 0.180 mm. An...Ch. 37 - Prob. 37.24PCh. 37 - In Figure P37.18, let L = 120 cm and d = 0.250 cm....Ch. 37 - Monochromatic coherent light of amplitude E0 and...Ch. 37 - The intensity on the screen at a certain point in...Ch. 37 - Green light ( = 546 nm) illuminates a pair of...Ch. 37 - Two narrow, parallel slits separated by 0.850 mm...Ch. 37 - A soap bubble (n = 1.33) floating in air has the...Ch. 37 - A thin film of oil (n = 1.25) is located on...Ch. 37 - A material having an index of refraction of 1.30...Ch. 37 - Prob. 37.33PCh. 37 - A film of MgF2 (n = 1.38) having thickness 1.00 ...Ch. 37 - A beam of 580-nm light passes through two closely...Ch. 37 - An oil film (n = 1.45) floating on water is...Ch. 37 - An air wedge is formed between two glass plates...Ch. 37 - Astronomers observe the chromosphere of the Sun...Ch. 37 - When a liquid is introduced into the air space...Ch. 37 - A lens made of glass (ng = 1.52) is coated with a...Ch. 37 - Two glass plates 10.0 cm long are in contact at...Ch. 37 - Mirror M1 in Figure 36.13 is moved through a...Ch. 37 - Prob. 37.43PCh. 37 - One leg of a Michelson interferometer contains an...Ch. 37 - Radio transmitter A operating at 60.0 MHz is 10.0...Ch. 37 - A room is 6.0 m long and 3.0 m wide. At the front...Ch. 37 - In an experiment similar to that of Example 36.1,...Ch. 37 - In the What If? section of Example 36.2, it was...Ch. 37 - An investigator finds a fiber at a crime scene...Ch. 37 - Raise your hand and hold it flat. Think of the...Ch. 37 - Two coherent waves, coming from sources at...Ch. 37 - In a Youngs interference experiment, the two slits...Ch. 37 - In a Youngs double-slit experiment using light of...Ch. 37 - Review. A flat piece of glass is held stationary...Ch. 37 - A certain grade of crude oil has an index of...Ch. 37 - The waves from a radio station can reach a home...Ch. 37 - Interference effects are produced at point P on a...Ch. 37 - Measurements are made of the intensity...Ch. 37 - Many cells are transparent anti colorless....Ch. 37 - Consider the double-slit arrangement shown in...Ch. 37 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 37 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 37 - In a Newtons-rings experiment, a plano-convex...Ch. 37 - Why is the following situation impossible? A piece...Ch. 37 - A plano-concave lens having index of refraction...Ch. 37 - A plano-convex lens has index of refraction n. The...Ch. 37 - Interference fringes are produced using Lloyds...Ch. 37 - Prob. 37.68APCh. 37 - Astronomers observe a 60.0-MHz radio source both...Ch. 37 - Figure CQ37.2 shows an unbroken soap film in a...Ch. 37 - Our discussion of the techniques for determining...Ch. 37 - The condition for constructive interference by...Ch. 37 - Both sides of a uniform film that has index of...Ch. 37 - Prob. 37.74CPCh. 37 - Monochromatic light of wavelength 620 nm passes...Ch. 37 - Prob. 37.76CP
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- Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.7 m. An observer is located at point P on the x axis, a distance x = 110.0 m from antenna A. The points A, P, and B form a right triangle. Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves?arrow_forwardTwo 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 Computer's answer now shown above. You are correct. Your receipt no. is 158-6031 > Previous Tries 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? Submit Answer Tries 0/6 Submit Answer Incorrect. Tries 1/6 Previous Tries If observer P continues walking until he reaches antenna A, at how many places along the x…arrow_forwardThe next two questions pertain to the same situation. Two antennas located at points A and B are broadcasting radio waves of a certain wavelength λ, perfectly in phase with each other. The two antennas are separated by a distance d = 300 m. An observer is at point P, located on the x-axis, at a distance x=400 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. Another observer is at point Q, located on the y-axis, at a distance y=200 m from A. A d = 300m B x=400 m y y= = 200 m P X 7) For which one of the following wavelength values will the observer at point P detect a maximum signal strength? A) λ = 60 m B) λ = 80 m C) λ = 100 m |D) λ = 120 m E) λ = 140 m 8) If the wavelength of the radio waves used is λ = 50 m, the observer at point Q will see a A) constructive interference B) destructive interference The next two questions pertain to the situation described below.arrow_forward
- An engineer, investigating the behavior of radio waves, builds a box 7.20 m long. Inside the box at one end is a small radio transmitter that emits radiation with a wavelength of 0.120 m. A receiver is placed at the other end, 7.20 m away. Assume both the transmitter and the receiver are on the floor of the box. The walls and floor of the box interior are treated to minimize reflection of radio waves. The ceiling of the box interior, however, is metal, so the radio waves can reflect off of it almost perfectly. The radio waves can take two paths from the transmitter to the receiver: a straight-line path, and a path that reflects off the ceiling of the box interior. Note that there is a phase shift when the waves reflect off the ceiling. (a) What is the minimum (nonzero) height of the box ceiling (in m) that could produce destructive interference between the direct and reflected waves at the receiver's location? (b) What If? Some modern Wi-Fi antennas emit frequencies in the 5 GHz band.…arrow_forwardTwo radio antennas radiating in phase are positioned at points A and B, separated by a distance of 200 m (Figure P35.43). Radio waves have a frequency of 5.80 MHz. A radio receiver is moved from point B along a line perpendicular to the line connecting A to B (line BC in the figure)At what distances B will there be destructive interference?Note: The distance between the receiver and the sources is not great compared to the separation of the sources.arrow_forwardDiffraction occurs for all types of waves, including sound waves. High-frequency sound from a distant source with wavelength 9.00 cm passes through a slit 12.0 cm wide. A microphone is placed 8.00 m directly in front of the center of the slit, corresponding to point O in Fig. The microphone is then moved in a direction perpendicular to the line from the center of the slit to point O. At what distances from O will the intensity detected by the microphone be zero?arrow_forward
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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