Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 37, Problem 60AP
To determine
The distance moved upwards by the central maximum of the interference pattern.
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Consider a light wave passing through a slit and propagating
toward a distant screen. Figure P37.53 shows the intensity
variation for the pattern on the screen. Give a mathematical
argument that more than 90% of the transmitted energy is
in the central maximum of the diffraction pattern. Sugges-
tion: You are not expected to calculate the precise percent-
age, but explain the steps of your reasoning. You may use
the identification
1
1
8
Imax
asine
-3T -27 -T
27 37 A
Figure P37.53
||
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.
Laser light of wavelength 627.0 nm passes through a double-slit arrangement at the front of a lecture room, reflects off a mirror 29.2
m away at the back of the room, and then produces an interference pattern on a screen at the front of the room. The distance between
adjacent bright fringes is 9.52 cm. What is the slit separation in meters?
Number i 0.000192
Units
m
Chapter 37 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 37.2 - Which of the following causes the fringes in a...Ch. 37.3 - Using Figure 36.6 as a model, sketch the...Ch. 37.5 - One microscope slide is placed on top of another...Ch. 37 - Prob. 1OQCh. 37 - Four trials of Youngs double-slit experiment are...Ch. 37 - Suppose Youngs double-slit experiment is performed...Ch. 37 - Prob. 4OQCh. 37 - Prob. 5OQCh. 37 - Prob. 6OQCh. 37 - Prob. 7OQ
Ch. 37 - Prob. 8OQCh. 37 - Prob. 9OQCh. 37 - A film of oil on a puddle in a parking lot shows a...Ch. 37 - Prob. 1CQCh. 37 - Prob. 2CQCh. 37 - Prob. 3CQCh. 37 - Prob. 4CQCh. 37 - Prob. 5CQCh. 37 - Prob. 6CQCh. 37 - Prob. 7CQCh. 37 - Prob. 8CQCh. 37 - Prob. 9CQCh. 37 - Two slits are separated by 0.320 mm. A beam of...Ch. 37 - Prob. 2PCh. 37 - A laser beam is incident on two slits with a...Ch. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Light with wavelength 442 nm passes through a...Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - A student holds a laser that emits light of...Ch. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Monochromatic coherent light of amplitude E0 and...Ch. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - When a liquid is introduced into the air space...Ch. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45APCh. 37 - Prob. 46APCh. 37 - Prob. 47APCh. 37 - Prob. 48APCh. 37 - Prob. 49APCh. 37 - Prob. 50APCh. 37 - Prob. 51APCh. 37 - In a Youngs interference experiment, the two slits...Ch. 37 - In a Youngs double-slit experiment using light of...Ch. 37 - Prob. 54APCh. 37 - Prob. 55APCh. 37 - Prob. 56APCh. 37 - Prob. 57APCh. 37 - Prob. 58APCh. 37 - Prob. 59APCh. 37 - Prob. 60APCh. 37 - Prob. 61APCh. 37 - Prob. 62APCh. 37 - Prob. 63APCh. 37 - Prob. 64APCh. 37 - Prob. 65APCh. 37 - Prob. 66APCh. 37 - Prob. 67APCh. 37 - Prob. 68APCh. 37 - Prob. 69APCh. 37 - Prob. 70APCh. 37 - Prob. 71CPCh. 37 - Prob. 72CPCh. 37 - Prob. 73CPCh. 37 - Prob. 74CPCh. 37 - Prob. 75CPCh. 37 - Prob. 76CP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Table P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80arrow_forwardIn the double-slit arrangement of Figure P36.13, d = 0.150 mm, L = 140 cm, = 643 nm. and y = 1.80 cm. (a) What is the path difference for the rays from the two slits arriving at P? (b) Express this path difference in terms of . (c) Does P correspond to a maximum, a minimum, or an intermediate condition? Give evidence for your answer. Figure P36.13arrow_forwardCoherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.arrow_forward
- In Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?arrow_forwardFigure P35.24 shows the diffraction patterns produced by a slit of varying width. What is the relative width of the slit in each case, from narrowest to widest? FIGURE P35.24 Problems 24 and 32.arrow_forwardConsider the double-slit arrangement shown in Figure P37.60, where the slit separation is d and the distance from the slit to the screen is L. A sheet of transparent plastic having an index of refraction n and thickness t is placed over the upper slit. As a result, the central maximum of the interference pattern moves upward a distance y Find y.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. Determine the longest wave- lengths that interfere (a) constructively and (b) destructively. h Transmitter d Receiver Figure P36.35 Problems 35 and 36.arrow_forwardA student performs a multiple-slit interference experiment. A coherent light source illuminates multiple slits in a barrier, and the resulting interference pattern is projected on a screen that is separated from the barrier by 2.2 m. The uniform spacing between the slits is 5.0μm5.0μm. A light sensor is used to measure the intensity of the light at the screen, and the student makes the following graph of the intensity as a function of the position along the screen as measured from the center of the central maximum. What is the wavelength, in nm, of the light source?arrow_forwardLight Emitting Diodes (LEDS) are semiconductor devices that emit light at specific wavelengths without emitting at any other wavelengths. LEDS can be used to create lasers that are very compact since they are a solid state device. A pair of narrow, parallel slits separated by 0.266 mm are illuminated by the green LED laser (A = 546.1 nm). The interference pattern is observed on a screen 1.20 m from the plane of the parallel slits. (a) Calculate the distance from the central maximum to the first bright region. (b) What is the distance between the first and second dark fringes? marrow_forward
- Your friend has been given a laser for her birthday. Unfortunately, she did not receive a manual with it and so she doesn't know the wavelength that it emits. You help her by performing a double-slit experiment, with slits separated by 0.36 mm. You find that the two m=1 bright fringes are 5.5 mm apart on a screen 1.6 mm from the slits. What is the wavelength the laser emits?arrow_forwardIn a 2-slit experiment, one of the slits is covered by a thin film of refractive index n1 and the other slit is covered by another thin film of refractive index n2 (n1>n2). Both films have the same thickness t. A flat screen is located a distance L from the slits. The slit spacing is d. Find the shift in the position of the central maximum of the interference pattern because of the presence of the thin films.arrow_forwardA monochromatic light beam coming from a point source illuminates two parallel horizontal slits. The center of the two slits is a = 0.80 mm, as illustrated in the figure. An interference pattern is produced on a target at 50 cm. In this pattern, the dark and light fringes are equally spaced. The distance y1 is 0.304 mm.Calculate the wavelength of the incident light.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