Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 37, Problem 5P
To determine
To draw: The graphical sketch for intensity versus
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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
||
You illuminate a slit with a width of 78.1 µm with a light of wavelength 729 nm and observe the resulting diffraction pattern on
a screen that is situated 2.27 m from the slit.
What is the width w, in centimeters, of the pattern's
central maximum?
W =
cm
The picture shows the interference pattern obtained in a double-slit experiment with monochromatic light of wavelength 650 nm. The distance shown between intensity maxima is y = 4 mm.
How far away (in mm) from the central maxima is the location where the two waves have a path difference of exactly 1950 nm?
Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 37.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 37.3 - Cats eyes have pupils that can be modeled as...Ch. 37.3 - Suppose you are observing a binary star with a...Ch. 37.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 37.6 - A polarizer for microwaves can be made as a grid...Ch. 37.6 - Prob. 37.6QQCh. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - In Figure 37.7, show mathematically how many...
Ch. 37 - Prob. 5PCh. 37 - What If? Suppose light strikes a single slit of...Ch. 37 - Prob. 7PCh. 37 - Coherent light of wavelength 501.5 nm is sent...Ch. 37 - Prob. 9PCh. 37 - Prob. 10PCh. 37 - What is the approximate size of the smallest...Ch. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Impressionist painter Georges Seurat created...Ch. 37 - Prob. 16PCh. 37 - Consider an array of parallel wires with uniform...Ch. 37 - Prob. 18PCh. 37 - A grating with 250 grooves/mm is used with an...Ch. 37 - Show that whenever white light is passed through a...Ch. 37 - Light from an argon laser strikes a diffraction...Ch. 37 - Prob. 22PCh. 37 - You are working as a demonstration assistant for a...Ch. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33APCh. 37 - Laser light with a wavelength of 632.8 nm is...Ch. 37 - Prob. 35APCh. 37 - Prob. 36APCh. 37 - Prob. 37APCh. 37 - Prob. 38APCh. 37 - Prob. 39APCh. 37 - Prob. 40APCh. 37 - Prob. 41APCh. 37 - Prob. 42APCh. 37 - Prob. 43APCh. 37 - Prob. 44APCh. 37 - Prob. 45APCh. 37 - Prob. 46APCh. 37 - Prob. 47APCh. 37 - Prob. 48APCh. 37 - Two closely spaced wavelengths of light are...Ch. 37 - Prob. 50CPCh. 37 - Prob. 51CPCh. 37 - In Figure P37.52, suppose the transmission axes of...Ch. 37 - Prob. 53CP
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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_forward350 nm of light falls on a single slit of width 0.20 mm. What is the angular width of the central diffraction peak?arrow_forwardTwo point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used? b. If violet light ( λλ = 420 nmnm ) is used?arrow_forward
- A 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_forwardLight of wavelength λ = 580 nm is incident upon two thin slits that are separated by a distance d = 25 μm. The light hits a screen L = 1.5 m from the screen. It is observed that at a point y = 5.5 mm from the central maximum the intensity of the light is I = 55 W/m2. What is the intensity of the light at the two slits (I0) in watts per square meter?arrow_forwardMonochromatic light from a laser is incident on a slit 0.38 mm wide. On a screen 2.33 m away from the slit, the distance between the first minima on either side of the central maximum is 2.62 mm. Determine the wavelength of light emitted by the laser. Answer in units nm.arrow_forward
- A set of narrow vertical slits is located a distance D from a screen. The slits are equally spaced and have the same width. The intensity pattern in the figure is observed when light from a laser passes through the slits, illuminating them uniformly. The screen is perpendicular to the direction of the light. Data: Distance to the screen= 3.13 m, Wavelength of light=420 nm, Distance between tick marks on the intensity figure 1.80 cm. Anh hwWw. W bw.hed, and What is the spacing between the slits? 2 Tries 0/12 Calculate the width of the slits. Tries 0/12 If the slit separation is increased by a factor of 3, what would be the distance between the principal peaks on the screen? Tries 0/12arrow_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_forwardA 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˚?arrow_forward
- Suppose 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_forward10 mW of light is incident on a piece of GaAs which is 0.2mm thick. The incident light is a mixture of 5mW at λ1=1.553μm and 5mW at λ2=0.828μm. A total of 7mW mixed light exits out of the GaAs. Assume no reflections at the air/GaAs interface and any light generated by recombination won’t exit the GaAs. What are the absorption coefficients, α, for two different wavelengths?arrow_forwardProblem 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 = __________________________________________arrow_forward
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