Physics (5th Edition)
5th Edition
ISBN: 9780134051802
Author: Walker
Publisher: PEARSON
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Chapter 28, Problem 38PCE
Submarine Saver A naval engineer is testing an nonreflective coating for submarines that would help them avoid detection by producing destructive interference for sonar waves that have a frequency of 512 Hz and travel at 1480 m/s. If there is a phase change for waves reflected from both the top and bottom surfaces of the coating what is the minimum thickness of the coating? For sonar waves let n= 1 00 and ncoating= 13 5.
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Question A6
It is desired to apply an anti-reflection coating on a glass lens used in air, by coating the lens with
a thin film of magnesium fluoride of refractive index n = 1.37; (assume the glass has refractive
index larger than nF).
Write down the formula for optical path difference between waves reflected at top and bottom
of the film, and use this to calculate the minimum required thickness of the coating to give a
reflectance minimum for normal-incidence green light of wavelength 550 nm in air.
Two in phase, monochromatic light rays traverse transparent materials with differing
indices of refraction but a common length. The wavelength of the light is 1 = 500. nm . Far
from the materials the light rays are combined without further phase shifts and there is
interference.
a. If n =1.50 n, =1.625 and L=12.0µm what is the phase difference in wavelengths (
N, - N, )?
b. If n, =1.475
=1.60 and L=12.00µm what is the phase difference in wavelengths (
N2 - N, )?
c. If n =1.475 n, =1.60 and L= 6.00µm what is the phase difference in wavelengths (
N, - N )?
d. Rank the three cases above in terms of brightness for the combined light.
n2
7.
The figure below shows a radio wave transmitter and a receiver separated by a distance d = 50distance d = 50, 0 m, both being at a height h = 35, 0 m above the ground. The receiver canThe receiver can receive signals either directly or indirectly from reflected signals on the ground. Suppose that theground is leveled and a 180o phase shift occurs in the reflection.Determine the longest wavelengths that interferea. constructively;b. destructively.
Chapter 28 Solutions
Physics (5th Edition)
Ch. 28.1 - Two beams of light that have the same phase are...Ch. 28.2 - If the wavelength in a two-slit experiment is...Ch. 28.3 - For each of the cases shown in Figure 28-22, state...Ch. 28.4 - If the wavelength of light passing through a...Ch. 28.5 - If you view the world with blue light, is your...Ch. 28.6 - Suppose a diffraction grating has slits separated...Ch. 28 - Prob. 1CQCh. 28 - What happens to the two-slit interference pattern...Ch. 28 - If a radio station broadcasts its signal through...Ch. 28 - How would you expect the interference pattern of a...
Ch. 28 - Describe the changes that would be observed in the...Ch. 28 - Two identical sheets of glass are coated with...Ch. 28 - A cats eye has a pupil that is elongated in the...Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Two sources emit waves that are coherent, in...Ch. 28 - In an experiment to demonstrate interference, you...Ch. 28 - A theme park creates a new kind of water wave pool...Ch. 28 - Two sources emit waves that are in phase with each...Ch. 28 - A person driving at 17 m/s crosses the line...Ch. 28 - Two students in a dorm room listen to a pure tone...Ch. 28 - If the loudspeakers in Problem 6 are 180 out of...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - Predict/Calculate Radio waves of frequency 1.427...Ch. 28 - Moe, Larry, and Curly stand in a line with a...Ch. 28 - Predict/Calculate In Figure 28-43 the two speakers...Ch. 28 - Consider a two-slit interference pattern, with...Ch. 28 - (a) Does the path-length difference l increase or...Ch. 28 - Predict/Explain A two-slit experiment with red...Ch. 28 - Laser light with a wavelength = 690 nm...Ch. 28 - Monochromatic light passes through two slits...Ch. 28 - In Youngs two-slit experiment, the first dark...Ch. 28 - Predic/Calculate A two-slit experiment with slits...Ch. 28 - A two-slit pattern is viewed on a screen 1.00 m...Ch. 28 - Light from a He-Ne laser ( = 632.8 nm) strikes a...Ch. 28 - For a science fair demonstration you would like to...Ch. 28 - Light with a wavelength of 576 nm passes through...Ch. 28 - Predict/Calculate Suppose the inference pattern...Ch. 28 - A physics instructor wants to produce a...Ch. 28 - Predict/Calculate When green light ( = 505 nm)...Ch. 28 - Predict/Calculate The interference pattern shown...Ch. 28 - Figure 28-46 shows four different cases where...Ch. 28 - The oil film floating on water in the accompanying...Ch. 28 - A soap bubble with walls 418 nm thick floats in...Ch. 28 - A soap film (n = 1.33) is 825 nm thick. White...Ch. 28 - White light is incident on a soap film (n = 1.30)...Ch. 28 - A 742-nm-thick soap film (nfilm = 1.33) rests on a...Ch. 28 - An oil film (n = 1.46) floats on a water puddle....Ch. 28 - A radio broadcast antenna is 36.00 km from your...Ch. 28 - Predict/Calculate Newton s Rings Monochromatic...Ch. 28 - Light is incident from above on two plates of...Ch. 28 - Submarine Saver A naval engineer is testing an...Ch. 28 - Predict/Calculate A thin layer of magnesium...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - White light is incident normally on a thin soap...Ch. 28 - Two glass plates are separated by fine wires with...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - What width single slit will produce first-order...Ch. 28 - Diffraction also occurs with sound waves Consider...Ch. 28 - Green light ( = 546 nm) strikes a single slit at...Ch. 28 - Light with a wavelength of 696 nm passes through a...Ch. 28 - Predict/Calculate A single slit is illuminated...Ch. 28 - How many dark fringes will be produced on either...Ch. 28 - Predict/Calculate The diffraction pattern shown in...Ch. 28 - A screen is placed 1.50 m behind a single slit....Ch. 28 - Predict/Explain (a) In principle, do your eyes...Ch. 28 - Two point sources of light are separated by 5.5...Ch. 28 - A spy camera is said to be able to read the...Ch. 28 - Splitting Binary Stars As seen from Earth, the red...Ch. 28 - Very Large Telescope Interferometer A series of...Ch. 28 - Find the minimum aperture diameter of a camera...Ch. 28 - The Resolution of Hubble The Hubble Space...Ch. 28 - A lens that is optically perfect is still limited...Ch. 28 - Early cameras were little more than a box with a...Ch. 28 - A grating has 797 lines per centimeter Find the...Ch. 28 - Prob. 62PCECh. 28 - A diffraction groting has 2500 lines/cm What is...Ch. 28 - The yellow light from a helium discharge tube has...Ch. 28 - A diffraction grating with 365 lines/mm is 1 25 m...Ch. 28 - Protein Structure X-rays with a wavelenglh of 0...Ch. 28 - White light strikes a grating with 7600...Ch. 28 - White light strikes a diffraction grating...Ch. 28 - CD Reflection The rows of bumps on a CD form lines...Ch. 28 - A light source emits two district wavelengths [1 =...Ch. 28 - A laser emits two wavelengths ( = 420 nm; 2 = 630...Ch. 28 - Predict/Calculate When blue light with a...Ch. 28 - Monochromatic light strikes a diffracton grating...Ch. 28 - A diffraction grating with a slit separation d is...Ch. 28 - CE Predict/Explain (a) If a thin liquid film...Ch. 28 - CE If the index of refraction of an eye could be...Ch. 28 - When reading the printout from a laser printer,...Ch. 28 - The headlights of a pickup truck are 1 36 m apart...Ch. 28 - Antireflection Coating A glass lens (nglass = 1...Ch. 28 - A thin film of oil (n = 1.30) floats on water (n =...Ch. 28 - The yellow light of sodium, with wavelengths of...Ch. 28 - Predict/Calculate A thin soap film (n = 1.33)...Ch. 28 - Predict/Calculate A thin film of oil (n = 1.40)...Ch. 28 - PredictfCalculate Sodium light, with a wavelength...Ch. 28 - BIO The Largest Eye The colossal squid...Ch. 28 - Product/Calculate Figure 28-49 shows a single-slit...Ch. 28 - BIO Entoptic Halos Images produced by structures...Ch. 28 - White light is incident on a soap film (n = 1.33,...Ch. 28 - Predict/Calculate A system like that shown in...Ch. 28 - A curved piece of glass with a radius of curvature...Ch. 28 - BIO The Resolution of the Eye The resolution of...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Predict/Calculate Referring to Example 28-3...Ch. 28 - Predict/Calculate Referring to Example 28-3 The...Ch. 28 - Predict/Calculate Referring to Example 28-11 The...Ch. 28 - Predictf/Calculate Referring to Example 28-11 The...
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