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 6PQ
To determine
The reason for the fact that there is physical limit to the number of bright fringes that appears on the screen.
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In a Young's double-slit experiment, the separation between slits is d and
the screen is a distance R from the slits. R is much greater than d and > is
the wavelength of the light. The number of bright fringes per unit width
on the screen is:
d/RX
R/dλ
Rd/λ
X/Rd
Rλ/d
A monochromatic light with 536nm pass through a slit that is 0.240 mm wide. In the resulting diffraction pattern, the intensity at the center of the central maximum is 4.00 *10-5 W/m2. What is the intensity at a point on the screen the corresponding to θ=1.20˚?
Problem 18: Consider a single slit that produces its first minimum at 54° for 590 nm light.
Randomized Variablesθ1 = 54 °θ1 = 54 °θ2 = 67 °λ1 = 590 nm
Part (a) What is the width of the single slit, w, in nanometers?Numeric : A numeric value is expected and not an expression.w = __________________________________________
Part (b) Find the wavelength, in nanometers, of light that has its first minimum at 67°.Numeric : A numeric value is expected and not an expression.λ2 = __________________________________________
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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- 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 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 P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53arrow_forward
- The coherence length of an ordinary white light source can be increased if we place a color filter in front of the source, so that the light that passes through the filter is somewhat monochromatic. The minimum wavelength of the emerging light is 564 nm. What is the maximum wavelength in order for the coherence length to be 0.09100 mm?arrow_forwardSuppose a laser shines through a double slit with separation d. The patern on the screen is .9 m from the slits. The distance between the two bright fringes (△y) is measured in mm. See the attatched plot. What is the wave number for the light in inverse nanometers?arrow_forwardA diffraction grating is used to view the spectrum of light from a helium discharge tube. The 3 brightest lines are red, yellow and blue in colour. In this spectrometer, the distance between the grating and the slit is 30.0 cm and the slit spacing in the grating is 1870 nm. Calculate the wavelength of spectral line C. What is the highest order of spectral line C that can be seen?arrow_forward
- In a double slit experiment, what is the path difference between two waves that create the third bright band (m=3) from the central bright band? 0.5λ λ 1.5λ 2λ 3λarrow_forwardU:04) Coherent light with wavelength 670 nm passes through two narrow slits and the interference pattern is observed on a screen 40.0 cm from the slits. The distance from the m = 1 bright fringe (above the central maximum) to the m = −1 bright fringe (below the central maximum) is 22.00 cm. What is the distance on the screen from the m = 2 bright fringe to the m = −2 bright fringe?arrow_forwardFind the equation for slit width 'w' and slit separation 's' from the equation for light intensity sin u sin Nv I (0) c w? u sin v where ku sin 0 ks sin 0 k = and A is the wavelength of the light.arrow_forward
- You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cmarrow_forwardYoung's double slit experiment is one of the classic tests for the wave nature of light. In an experiment using red light (λ = 639 nm) the second dark fringe on either side of the central maximum is 0 = 3.1 degrees relative to the central bright fringe. - Part (a) ✓ Write an expression for the separation distance d between the slits. d = 1.5 (N/sin(0)) Part (b) ✓ Correct! Numerically, what is the distance of d in nanometers? d=2.30510-5|| Grade Summary Deductions 8% Potential Submissions 92% sin() cos() tan() π (7 8 9 HOME Attempt(s) Remaining: 1 cotan() asin() acos() E Λ 5 6 4% Deduction per Attempt detailed view atan() acotan() sinh() * 2 3 1 2 4% 4% cosh() tanh() cotanh() + - 0 END • Degrees Radians VO BACKSPACE DEL CLEAR Submit Submission(s) Remaining Hint Feedback I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Part (c) Feedback: 5% deduction per feedback. Numerically, at what angle can the first bright fringe be found relative to the m = O central fringe? Answer in…arrow_forwardMonochromatic light of wavelength 4300 A.U. falls on slit of width a. For what value of a, the first maximum falls at 30°?arrow_forward
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