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 88PQ
To determine
The resultant intensity from the light waves with amplitudes
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Problem 5: Consider light that has its third minimum at an angle of 24.4° when it falls on a single slit of width 3.55 µm .
Randomized Variables
e = 24.4 °
w = 3.55 µm
Find the wavelength of the light in nanometers.
2 =
789
E AAL 4 |5 | 6
1| 2
sin()
cos()
tan()
HOME
cotan()
asin()
acos()
atan()
acotan()
sinh()
3
cosh()
tanh()
cotanh()
END
O Degrees O Radians
vol BACKSPACE
DEL
CLEAR
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Coherent electromagnetic waves with wavelength λ = 500 nm pass through two identical slits. The width of each slit is a, and the distance between the centers of the slits is d = 9.00 mm. (a) What is the smallest possible width a of the slits if the m = 3 maximum in the interference pattern is not present? (b) What is the next larger value of the slit width for which the m = 3 maximum is absent?
In the ideal double-slit experiment, when a glass-plate
(refractive index 1.5) of thickness t is introduced in the path
of one of the interfering beams (wavelength λ), the intensity
at the position where the central maximum occurred
previously remains unchanged. The minimum thickness of
the glass-plate is
(a) 22
(b)
22
3
(c) 1/17
3
(d) λ
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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- White light is incident on a soap film at an angle of sin^(-1(4)/(5)) and the reflected light on examination by the spectroscope shows dark bands. The consecutive dark bands corresponds to wavelength 6100 Å and 6000 Å. If the refractive index of the film is 4/3, calculate its thickness.arrow_forwardTwo interfering light waves have intensities of 20,W,m−2 and 40,W,m−2 , and the phase difference between them at some point P is π/3 . The intensity at P, in W m−2 , including interference is:(give your answer as a decimal to 1.d.p.)arrow_forwardIn a certain crystal the spacing between crystal planes is 0.165 nm. (a) If you shine a beam of x rays of wavelength 0.124 nm on this crystal, for what angle between the beam and the crystal planes does the first strong interference maximum occur? (b) For what larger angles (if any) do strong interference maxima occur?arrow_forward
- Coherent electromagnetic radiation is sent through a slit of width 0.0100 mm. For which of the following wavelengths will there be no points in the diffraction pattern where the intensity is zero? (i) Blue light of wavelength 500 nm; (ii) infrared light of wavelength 10.6 mm; (iii) microwaves of wavelength 1.00 mm; (iv) ultraviolet light of wavelength 50.0 nm.arrow_forwardA beam of light with wavelength 440 nm in air hits a thin piece of glass 10.28 microns thick (with refractive index 1.55) at an angle of 40.8 degrees to the normal. What is the path difference between the two reflections from the layers of the glass, in wavelengths? [Note to get the phase shift we multiply this number by 2π, but this is modulo 2π, i.e. any integer number of wavelengths are 2π phase shifts, equivalent to no phase shift... basically in terms of phase we only really need the non-integer part of your answer. Note also that for the phase shift we would need to add a π for the reflection off the glass-air interface.]arrow_forwardEvaluate the formula xm= (L m 2) / D for single slit diffraction experiment.arrow_forward
- Problem 1: In a double slit experiment the first minimum for 415 nm violet light is at an angle of 42°. Randomized Variables 2 = 415 nm e = 42 ° Find the distance between the two slits in micrometers. d= 8 9 5 6 sin() cos() tan() 7 HOME cotan() asin() acos() E A 4 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END O Degrees O Radians Vol BACKSPACE DEL CLEAR +arrow_forwardQ/4 : In Biprism experiment the fringe width is 0.30 mm. If slits are covered by glass plate of thickness 0.04 mm and refractive index u = 1.5, then the fringe width is (a) 0.02 mm (b) 0.1 mm (c) 0.30 mm (d) 0.2 mmarrow_forwardIn an interference arrangement similar to Young's double-slit experiment, the slits S₁ and S₂ are illuminated with coherent microwave sources, each of frequency 106 Hz. The sources are synchronized to have zero phase difference. The slits are separated by a distance d = 150.0m. The intensity I (0) is measured asarrow_forward
- Two sources are emitting coherent, monochromatic EM waves with a wavelength of 2 cm in air. Source 1 is embedded in a material with index of refraction n1 = 1.5. The distance between source 1 and the edge of the material is 6 cm. You can assume nair = 1. At the point marked with an X, which is 9 cm from source 2 and 3 cm from the edge of the material that source 1 is embedded inside, what kind of interference will you find between EM waves from the two sources? Group of answer choices Destructive Constructivearrow_forwardThe phase shift between ordinary and extraordinary waves in the plastic and thus the degree of transmission is dependent on both the birefringence An (= no-ne), and the air wavelength 20: Ap= (nod-ned) (2π/20) where the symbols have their usual meaning. If we have a situation whereby, at a particular region in the plastic, for blue light (20= 450nm) the phase shift is 47 and the blue light is not transmitted, at what wavelength will the phase shift be 3r, where the transmission will be a maximum? What will happen to the blue light if we rotate one of the polarisers so that the transmission axes of the two are now parallel?arrow_forwardMonochromatic light of wavelength 475 nm from a distant source passes through a slit that is 0.0300 mm wide. In the resulting diffraction pattern, the intensity at the center of the central maximum (θ = 0∘) is 9.60×10−5 W/m^2 . What is the intensity at a point on the screen that corresponds to θ = 1.20∘. (Express your answer to three significant figures and include the appropriate units.)arrow_forward
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