Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 35, Problem 19PQ
To determine
The
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In a two-slit experiment, the slit separation is 3.00*10-5 m. The interference pattern is recorded on a flat screen-like detector that is 2.00 m away from the slits. If the seventh bright fringe on the detector is 10.0 cm away from the central fringe, what is the wavelength of the light passing through the slits?
A) 100 nm
B) 204 nm
C) 214 nm
D) 224 nm
E) 234 nm
A physics professor wants to perform a lecture demonstration of Young's double-slit experiment for her class using the 633-nm light from a He-Ne laser. Because the lecture hall is very large, the interference pattern will be projected on a wall that is 6 m from the slits. For easy viewing by all students in the class, the professor wants the distance between the m=0 and m=1 maxima to be 50 cm. What slit separation is required in order to produce the desired interference pattern?
use the following values whenever necessary:
Acceleration of gravity g = 9.8 m/s².Density of water ρ = 1000 kg/m³Atmospheric pressure: pₐₜₘ = 101325 PaRefractive index of air nₐᵣ = 1
6) Light from a 620 nm wavelength laser passes through a diffraction grating with 4000 lines/cm in vacuum. The resulting pattern is seen on a far curved screen that can show all the bright bangs with direction up to, and including, ±90.0° from the center point. (a) What is the TOTAL number of bright bangs that will appear on the screen? (b) Now the system is immersed in a liquid and you notice that two more bright bangs appear, one above and one below. What is the minimum index of refraction of the liquid?
(a) 11 (b) n = 1.55
(a) 7 (b) n = 1.55
(a) 9 (b) n = 1.24
(a) 11 (b) n = 1.24
(a) 9 (b) n = 1.33
(a) 7 (b) n = 1.33
Chapter 35 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 35.1 - Perhaps Newton never observed a diffraction...Ch. 35.1 - Prob. 35.2CECh. 35.2 - Prob. 35.3CECh. 35.3 - Prob. 35.4CECh. 35.4 - When we studied Youngs double-slit experiment, we...Ch. 35.6 - Prob. 35.6CECh. 35 - Light Is a Wave C As shown in Figure P35.1, spray...Ch. 35 - Sound Wave Interference Revisited Draw two...Ch. 35 - Prob. 3PQCh. 35 - You are seated on a couch equidistant between two...
Ch. 35 - Prob. 5PQCh. 35 - Prob. 6PQCh. 35 - A student shines a red laser pointer with a...Ch. 35 - Monochromatic light is incident on a pair of slits...Ch. 35 - Prob. 9PQCh. 35 - In a Youngs double-slit experiment with microwaves...Ch. 35 - A beam from a helium-neon laser with wavelength...Ch. 35 - Prob. 12PQCh. 35 - Prob. 13PQCh. 35 - Prob. 14PQCh. 35 - Light from a sodium vapor lamp ( = 589 nm) forms...Ch. 35 - Prob. 16PQCh. 35 - Prob. 17PQCh. 35 - Prob. 18PQCh. 35 - Prob. 19PQCh. 35 - Prob. 20PQCh. 35 - Prob. 21PQCh. 35 - Prob. 22PQCh. 35 - Prob. 23PQCh. 35 - Figure P35.24 shows the diffraction patterns...Ch. 35 - Prob. 25PQCh. 35 - Prob. 26PQCh. 35 - A thread must have a uniform thickness of 0.525...Ch. 35 - Prob. 28PQCh. 35 - Prob. 29PQCh. 35 - A radio wave of wavelength 21.5 cm passes through...Ch. 35 - Prob. 31PQCh. 35 - Prob. 32PQCh. 35 - A single slit is illuminated by light consisting...Ch. 35 - Prob. 34PQCh. 35 - Prob. 35PQCh. 35 - Prob. 36PQCh. 35 - Prob. 37PQCh. 35 - Prob. 38PQCh. 35 - Prob. 39PQCh. 35 - Prob. 40PQCh. 35 - Prob. 41PQCh. 35 - Prob. 42PQCh. 35 - Prob. 43PQCh. 35 - Prob. 44PQCh. 35 - Prob. 45PQCh. 35 - Prob. 46PQCh. 35 - Prob. 47PQCh. 35 - Prob. 48PQCh. 35 - Figure P35.49 shows the intensity of the...Ch. 35 - Prob. 50PQCh. 35 - Prob. 51PQCh. 35 - Prob. 52PQCh. 35 - Light of wavelength 750.0 nm passes through a...Ch. 35 - Prob. 54PQCh. 35 - Prob. 55PQCh. 35 - Prob. 56PQCh. 35 - Light of wavelength 515 nm is incident on two...Ch. 35 - Light of wavelength 515 nm is incident on two...Ch. 35 - A Two slits are separated by distance d and each...Ch. 35 - Prob. 60PQCh. 35 - Prob. 61PQCh. 35 - If you spray paint through two slits, what pattern...Ch. 35 - Prob. 63PQCh. 35 - Prob. 64PQCh. 35 - Prob. 65PQCh. 35 - Prob. 66PQCh. 35 - Prob. 67PQCh. 35 - Prob. 68PQCh. 35 - Prob. 69PQCh. 35 - Prob. 70PQCh. 35 - Prob. 71PQCh. 35 - Prob. 72PQCh. 35 - Prob. 73PQCh. 35 - Prob. 74PQCh. 35 - Prob. 75PQCh. 35 - Prob. 76PQCh. 35 - Prob. 77PQCh. 35 - Another way to construct a double-slit experiment...Ch. 35 - Prob. 79PQCh. 35 - Prob. 80PQCh. 35 - Table P35.80 presents data gathered by students...Ch. 35 - Prob. 82PQCh. 35 - Prob. 83PQCh. 35 - Prob. 84PQCh. 35 - Prob. 85PQCh. 35 - Prob. 86PQCh. 35 - Prob. 87PQCh. 35 - Prob. 88PQCh. 35 - A One of the slits in a Youngs double-slit...Ch. 35 - Prob. 90PQ
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Consider 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.
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Coherent 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.
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Suppose Youngs double-slit experiment is performed in air using red light and then the apparatus is immersed in water. What happens to the interference pattern on the screen? (a) It disappears. (b) The bright and dark fringes stay in the same locations, but the contrast is reduced. (c) The bright fringes are closer together. (d) The bright fringes are farther apart. (e) No change happens in the interference pattern.
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A Fraunhofer diffraction pattern is produced on a screen located 1.00 m from a single slit. If a light source of wavelength 5.00 107 m is used and the distance from the center of the central bright fringe to the first dark fringe is 5.00 103 m, what is the slit width? (a) 0.010 0 mm (b) 0.100 mm (c) 0.200 mm (d) 1.00 mm (e) 0.005 00 mm
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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?
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In a Young’s Double Slit Experiment the distance between two slits is 0.150 mm and the length from the double slit to the screen is 120 cm. The distance from central fringe to the nth fringe is 2 cm. The wavelength of the light is 750 nm.
What is the path difference for the rays from the two slits arriving at a point on the screen, say point P?
A. 1.5 x 10-6 m
B. 3.5 x 10-6 m
C. 2.5 x 10-6 m
D. 4.0 x 10-6 m
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The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600. nm, and the screen is 1.9 m from the slit. (a.) What is the width of the slit in microns? (D= ?) (b.) What is the ratio of the intensity at 4.2mm from the center of the pattern to the intensity at the center of the pattern? (I/I0= ?)
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For fun, a student constructs a four-slit interference experiment. If the light from each of the four slits arrives in phase at the central maximum, then how will the intensity I compare to the intensity I1 from a single slit?
a. I1
b. 4I1
c. 8I1
d. 16I1
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In a Young’s Double Slit Experiment the distance between two slits is 0.150 mm and the length from the double slit to the screen is 120 cm. The distance from central fringe to the nth fringe is 2 cm. The wavelength of the light is 750 nm. What is the path difference for the rays from the two slits arriving at a point on the screen, say point P?
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A double-slit experiment has a slit separation distance of 0.08 mm. If the bright interference fringes are to be spaced 5 mm apart on the screen when the slits are illuminated with a laser of wavelength 633 nm, what should be the distance to the screen from the slits?
a) 0.42 m
b) 0.63 m
c) 0.77 m
d) 0.81 m
e) 0.92 m
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QUESTION 9
In a Young’s Double Slit Experiment light passes through two narrow slits of ? = 0.8 ??. The distance from double slit to the screen is 1.6 m. The distance from central fringe to the nth fringe is 5 cm. The wavelength of the light is 625 nm. The path difference correspond to
A.
a minimum
B.
a position between maximum and minimum.
C.
a maximum
D.
a maximum and minimum
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Answer to the following questions.
What is the wavelength of a monochromatic light of frequency 5.5x1014 Hz?
__________nm
This monochromatic light falls on 10 slits separated by 0.04 mm. What is the position of the first maximum on a screen that is 2 m from the slits?
_____cm
What is the position of the third maximum on that same screen?
_______cm
What is the separation between the first and third maxima on a screen?
________cm
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