College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 26, Problem 9P
Coherent light of frequency 6 32 × 1014 Hz passes through two thin slits and falls on a screen 85.0 cm away. You observe that the third bright fringe occurs at ±3.11 cm on either side of the central bright fringe. (a) How far apart are the two slits? (b) At what distance from the central bright fringe will the third dark fringe occur?
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Coherent light of frequency 6.32 x 1014 Hz passes through two thin slits and falls on a
screen 85.0 cm away. You observe that the third bright fringe occurs at ±3.11 cm on
either side of the central bright fringe.
(a) How far apart are the two slits?
(b) At what distance from the central bright fringe will the third dark fringe occur?
Coherent light of frequency 6.32 x 1014 Hz passes through two thin slits and falls on a screen 85.0 cm away. You observe that the third bright fringe occurs at ± 3.11 cm on either side of the central bright fringe. (a) How far apart are the two slits? (b) At what distance from the central bright fringe will the third dark fringe occur?
Coherent light of frequency 6.32 * 10^14 Hz passes through two thin slits and falls on a screen 85.0 cm away. You observe that the third bright fringe occurs at +-3.11 cm on either side of the central bright fringe. (a) How far apart are the two slits? (b) At what distance from the central bright fringe will the third dark fringe occur?
Chapter 26 Solutions
College Physics (10th Edition)
Ch. 26 - Could an experiment similar to Youngs two-slit...Ch. 26 - You shine monochromatic light on two narrow slits...Ch. 26 - Would the headlights of a distant car form a...Ch. 26 - If a two-slit interference experiment were done...Ch. 26 - Prob. 6CQCh. 26 - Prob. 7CQCh. 26 - Around harbors, where oil from boat engines is on...Ch. 26 - What happens to the width of the central bright...Ch. 26 - A very thin soap film (n = 1.33), whose thickness...Ch. 26 - Suppose monochromatic light with a wavelength A...
Ch. 26 - Optical telescopes having a principal mirror only...Ch. 26 - Two sources of waves are at A and B in Figure...Ch. 26 - Two sources of waves are at A and B in Figure...Ch. 26 - To obtain the greatest resolution from a...Ch. 26 - A monochromatic beam of laser light falls on a...Ch. 26 - When a thin oil film spreads out on a puddle...Ch. 26 - A laser beam of wavelength 500 nm is shone through...Ch. 26 - A film contains a single thin slit of width a When...Ch. 26 - Light of wavelength A strikes a pane of glass of...Ch. 26 - Two thin parallel slits are a distance d apart....Ch. 26 - Laser light of wavelength A passes through a thin...Ch. 26 - A light oeam st'ikes a pane of glass as shown in...Ch. 26 - Light of wavelength and frequency f passes...Ch. 26 - Prob. 1PCh. 26 - A person with a radio-wave receiver starts out...Ch. 26 - Radio interference. Two radio antennas A and B...Ch. 26 - Two speakers that are 10.0 m apart produce...Ch. 26 - Suppose that the situation is the same as in the...Ch. 26 - Coherent light of wavelength 525 nm passes through...Ch. 26 - Coherent light from a sodium-vapor lamp is passed...Ch. 26 - Young's experiment is performed with light of...Ch. 26 - Coherent light of frequency 6 32 1014 Hz passes...Ch. 26 - Coherent light with wavelength 600 nm passes...Ch. 26 - Two slits spaced 0.450 mm apart are placed 75.0 cm...Ch. 26 - Coherent light that contains two wavelengths 660...Ch. 26 - Two thin parallel slits that are 0.0116 mm apart...Ch. 26 - The walls of a soap bubble have about the same...Ch. 26 - What is the thinnest soap film (excluding the case...Ch. 26 - A thin film of polystyrene of refractive index...Ch. 26 - Conserving energy. The lead architect on the...Ch. 26 - Nonglare glass. When viewing a piece of art that...Ch. 26 - The lenses of a particular set of binoculars have...Ch. 26 - A plate of glass 9.00 cm long is placed in contact...Ch. 26 - Two rectangular pieces of plane glass are laid one...Ch. 26 - A researcher measures the thickness of a layer of...Ch. 26 - Compact disc player. A compact disc (CD) is read...Ch. 26 - A beam of laser light of wavelength 632.8 nm fails...Ch. 26 - Parallel rays of green mercury light with a...Ch. 26 - Parallel light rays with a wavelength of 600 nm...Ch. 26 - Monochromatic light from a distant source is...Ch. 26 - Red light of wavelength 633 nm from a helium-neon...Ch. 26 - Light of wavelength 633 nm from a distant source...Ch. 26 - Doorway diffraction. Diffraction occurs for all...Ch. 26 - Light of wavelength 585 nm falls on a slit 0 0666...Ch. 26 - A glass sheet measuring 10.0 cm 25.0 cm is...Ch. 26 - A laser beam of unknown wavelength passes through...Ch. 26 - A laser beam of wavelength 600.0 nm is incident...Ch. 26 - When laser light of wavelength 632.8 nm passes...Ch. 26 - A diffraction grating has 5580 lines/cm When a...Ch. 26 - Monochromatic light is at normal incidence on a...Ch. 26 - Set Up: The maxima are located by dsin= m, where d...Ch. 26 - Light of wavelength 631 nm passes through a...Ch. 26 - If a diffraction grating produces a third-order...Ch. 26 - A converging lens 7.20 cm in diameter has a focal...Ch. 26 - A reflecting telescope is used to observe two...Ch. 26 - Two satellites at an altitude of 1200 km are...Ch. 26 - Resolution of telescopes. Due to blurring caused...Ch. 26 - Resolution of the eye, I. Even if the lenses of...Ch. 26 - Resolution of the eye, II. The maximum resolution...Ch. 26 - Spy satellites? Assume that a spy satellite in...Ch. 26 - Two identical audio speakers connected to the same...Ch. 26 - Suppose you illuminate two thin slits by...Ch. 26 - Coating eyeglass lenses. Eyeglass lenses can be...Ch. 26 - Sensitive eyes. You have just put some medical...Ch. 26 - || A wildlife photographer uses a moderate...Ch. 26 - Thickness of human hair. Although we have...Ch. 26 - An oil tanker spills a large amount of oil (n = 1...Ch. 26 - A thin glass slide (n = 1.53) that is 0.485 m...Ch. 26 - Searching for planets around other stars. If an...Ch. 26 - You need a diffraction grating that will disperse...Ch. 26 - Set Up: Interference occurs due to the path...Ch. 26 - A physics student performs Youngs double-slit...Ch. 26 - The professor then adjusts the apparatus. The...Ch. 26 - The professor returns the apparatus to the...Ch. 26 - The professor again returns the apparatus to its...Ch. 26 - The professor once again returns the apparatus to...
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- A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 radarrow_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_forwardA beam of monochromatic green light is diffracted by a slit of width 0.550 mm. The diffraction pattern forms on a wall 2.06 m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.10 mm. Calculate the wavelength of the light.arrow_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_forwardShow that the distribution of intensity in a double-slit pattern is given by Equation 36.9. Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)arrow_forwardWhy is it much more difficult to see interference fringes for light reflected from a thick piece of glass than from a thin film? Would it be easier if monochromatic light were used?arrow_forward
- 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_forwardMonochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is 2.50 m away from the slits. a. If the distance between the central bright fringe and either of the adjacent bright fringes is 1.67 cm, find the wavelength of the incident light. b. At what angle does the next set of bright fringes appear?arrow_forwardTable 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_forward
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