University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 36, Problem 36.13E
Monochromatic light of wavelength 580 nm passes through a single slit and the diffraction pattern is observed on a screen. Both the source and screen are far enough from the slit for Fraunhofer diffraction to apply. (a) If the first diffraction minima are at ± 90.0°, so the central maximum completely fills the screen, what is the width of the slit? (b) For the width of the slit as calculated in part (a), what is the ratio of the intensity at θ = 45.0° to the intensity at θ = 0?
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Monochromatic light of wavelength 580 nm passes through a single slit and the diffraction pattern is observed on a screen. Both the source and screen are far enough from the slit for Fraunhofer diffraction to apply. (a) If the first diffraction minima are at -+90.0, so the central maximum completely fills the screen, what is the width of the slit? (b) For the width of the slit as calculated in part (a), what is the ratio of the intensity at u = 45.0 to the intensity at u = 0?
Monochromatic light of wavelength 580 nm passes through a single slit and the diffraction pattern is observed on a screen. Both the source and screen are far enough from the slit for Fraunhofer diffraction to apply. (a) If the first diffraction minima are at ±90.0°, so the central maximum completely fills the screen, what is the width of the slit? (b) For the width of the slit as calculated in part (a), what is the ratio of the intensity at θ = 45.0° to the intensity at θ = 0?
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Chapter 36 Solutions
University Physics (14th Edition)
Ch. 36 - Why can we readily observe diffraction effects for...Ch. 36 - Prob. Q36.2DQCh. 36 - You use a lens of diameter D and light of...Ch. 36 - Light of wavelength and frequency f passes...Ch. 36 - In a diffraction experiment with waves of...Ch. 36 - An interference pattern is produced by four...Ch. 36 - Phasor Diagram for Eight Slits. An interference...Ch. 36 - A rainbow ordinarily shows a range of colors (see...Ch. 36 - Some loudspeaker horns for outdoor concerts (at...Ch. 36 - Figure 31.12 (Section 31.2) shows a loudspeaker...
Ch. 36 - Prob. Q36.11DQCh. 36 - With which color of light can the Hubble Space...Ch. 36 - At the end of Section 36.4, the following...Ch. 36 - Prob. Q36.14DQCh. 36 - Why is a diffraction grating better than a...Ch. 36 - One sometimes sees rows of evenly spaced radio...Ch. 36 - Prob. Q36.17DQCh. 36 - Prob. Q36.18DQCh. 36 - Ordinary photographic film reverses black and...Ch. 36 - Monochromatic light from a distant source is...Ch. 36 - Parallel rays of green mercury light with a...Ch. 36 - Light of wavelength 585 nm falls on a slit 0.0666...Ch. 36 - Light of wavelength 633 nm from a distant source...Ch. 36 - Diffraction occurs for all types of waves,...Ch. 36 - CP Tsunami! On December 26, 2004, a violent...Ch. 36 - Prob. 36.7ECh. 36 - Monochromatic electromagnetic radiation with...Ch. 36 - Doorway Diffraction. Sound of frequency 1250 Hz...Ch. 36 - Figure 31.12 (Section 31.2) shows a loudspeaker...Ch. 36 - Red light of wavelength 633 nm from a helium neon...Ch. 36 - Public Radio station KXPR-FM in Sacramento...Ch. 36 - Monochromatic light of wavelength 580 nm passes...Ch. 36 - Monochromatic light of wavelength = 620 nm from a...Ch. 36 - A slit 0.240 mm wide is illuminated by parallel...Ch. 36 - Monochromatic light of wavelength 592 nm from a...Ch. 36 - A single-slit diffraction pattern is formed by...Ch. 36 - Parallel rays of monochromatic light with...Ch. 36 - Number of Fringes in a Diffraction Maximum. In...Ch. 36 - Diffraction and Interference Combined. Consider...Ch. 36 - An interference pattern is produced by light of...Ch. 36 - Laser light of wavelength 500.0 nm illuminates two...Ch. 36 - When laser light of wavelength 632.8 nm passes...Ch. 36 - Monochromatic light is at normal incidence on a...Ch. 36 - If a diffraction grating produces its third-order...Ch. 36 - If a diffraction grating produces a third-order...Ch. 36 - Visible light passes through a diffraction grating...Ch. 36 - The wavelength range of the visible spectrum is...Ch. 36 - (a) What is the wavelength of light that is...Ch. 36 - CDs and DVDs as Diffraction Gratings. A laser beam...Ch. 36 - A typical laboratory diffraction grating has 5.00 ...Ch. 36 - Identifying Isotopes by Spectra. Different...Ch. 36 - The light from an iron arc includes many different...Ch. 36 - If the planes of a crystal are 3.50 (1 = 1010 m...Ch. 36 - Prob. 36.35ECh. 36 - Monochromatic x rays are incident on a crystal for...Ch. 36 - Monochromatic light with wavelength 620 nm passes...Ch. 36 - Monochromatic light with wavelength 490 nm passes...Ch. 36 - Two satellites at an altitude of 1200 km are...Ch. 36 - BIO If you can read the bottom row of your doctors...Ch. 36 - The VLBA (Very Long Baseline Array) uses a number...Ch. 36 - Searching for Planets Around Other Stars. If an...Ch. 36 - Hubble Versus Arecibo. The Hubble Space Telescope...Ch. 36 - Photography. A wildlife photographer uses a...Ch. 36 - Observing Jupiter. You are asked to design a space...Ch. 36 - Coherent monochromatic light of wavelength passes...Ch. 36 - BIO Thickness of Human Hair. Although we have...Ch. 36 - CP A loudspeaker with a diaphragm that vibrates at...Ch. 36 - Laser light of wavelength 632.8 nm falls normally...Ch. 36 - Grating Design. Your boss asks you to design a...Ch. 36 - Measuring Refractive Index. A thin slit...Ch. 36 - Underwater Photography. An underwater camera has a...Ch. 36 - CALC The intensity of light in the Fraunhofer...Ch. 36 - A slit 0.360 mm wide is illuminated by parallel...Ch. 36 - CP CALC In a large vacuum chamber, monochromatic...Ch. 36 - CP In a laboratory, light from a particular...Ch. 36 - What is the longest wavelength that can be...Ch. 36 - It has been proposed to use an array of infrared...Ch. 36 - A diffraction grating has 650 slits/mm. What is...Ch. 36 - Quasars, an abbreviation for quasi-stellar radio...Ch. 36 - A glass sheet is covered by a very thin opaque...Ch. 36 - BIO Resolution of the Eye. The maximum resolution...Ch. 36 - DATA While researching the use of laser pointers,...Ch. 36 - DATA Your physics study partner tells you that the...Ch. 36 - DATA At the metal fabrication company where you...Ch. 36 - Intensity Pattern of N Slits. (a) Consider an...Ch. 36 - CALC Intensity Pattern of N Silts, Continued. Part...Ch. 36 - CALC It is possible to calculate the intensity in...Ch. 36 - Prob. 36.69PPCh. 36 - BRAGG REFLECTION ON A DIFFERENT SCALE. A colloid...Ch. 36 - BRAGG REFLECTION ON A DIFFERENT SCALE. A colloid...
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- Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.arrow_forwardConsider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forwardA 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 mmarrow_forward
- When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?arrow_forwardThe structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?arrow_forwardFor 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?arrow_forward
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