College Physics: Explore And Apply, Volume 2 (2nd Edition)
2nd Edition
ISBN: 9780134862910
Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic
Publisher: PEARSON
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Textbook Question
Chapter 24, Problem 10CQ
Describe a double-slit interference experiment for sound waves using one or more speakers, driven by an electronic oscillator, as your sources of sound waves.
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Students have asked these similar questions
An acoustic double-slit system (of slit separation d and slit width a) is driven by two loudspeakers . By use of a variable delay line, the phase of one of the speakers may be varied relative to the other speaker. Describe in detail what changes occur in the double-slit diffraction pattern at large distances as the phase difference between the speakers is varied from zero to 2p. Take both interference and diffraction effects into account.
Light of wavelength λ = 410 nm is incident upon two thin slits that are separated by a distance d = 25 μm. The light hits a screen L = 2.4 m from the screen. It is observed that at a point y = 4.8 mm from the central maximum the intensity of the light is I = 85 W/m2.
Part (a) Write an equation for the phase shift between the light from the two slits at the observation point in terms of the given variables.
Part (b) For the given data, what is the phase shift, in radians, between the light from the two slits at the observation point? Part (c) What is the intensity of the light at the two slits (I0) in watts per square meter?
In your summer job at an optics company, you are asked to measure the wavelength λ of the light that is produced by a laser. To do so, you pass the laser light through two narrow slits that are separated by a distance d. You observe the interference pattern on a screen that is 0.900 m from the slits and measure the separation ∆y between adjacent bright fringes in the portion of the pattern that is near the center of the screen. Using a microscope, you measure d. But both ∆y and d are small and difficult to measure accurately, so you repeat the measurements for several pairs of slits, each with a different value of d. Your results are shown in Fig. P35.50, where you have plotted ∆y versus 1/d. The line in the graph is the best-fit straight line for the data. (a) Explain why the data points plotted this way fall close to a straight line. (b) Use Fig. to calculate λ.
Chapter 24 Solutions
College Physics: Explore And Apply, Volume 2 (2nd Edition)
Ch. 24 - Review Question 24.1 Explain why we observe...Ch. 24 - Prob. 2RQCh. 24 - Review Question 24.3 How do the locations of the...Ch. 24 - Review Question 24.4 If we look through a grating...Ch. 24 - Review Question 24.5 Equation (24.6),...Ch. 24 - Review Question 24.6 Stars are so far away that...Ch. 24 - Prob. 7RQCh. 24 - Multiple Choice Questions
1. You shine a...Ch. 24 - Multiple Choice Questions When you shine a very...Ch. 24 - Prob. 3MCQ
Ch. 24 - Multiple Choice Questions If you add a third slit...Ch. 24 - Multiple Choice Questions
5. Why don’t two...Ch. 24 - Multiple Choice Questions You shine a laser beam...Ch. 24 - Multiple Choice Questions
7. What does the...Ch. 24 - Prob. 8MCQCh. 24 - Multiple Choice Questions You shine a green laser...Ch. 24 - 10. Describe a double-slit interference experiment...Ch. 24 - You are investigating a pattern produced on a...Ch. 24 - 12. Give examples of phenomena that can be...Ch. 24 - 13. Give examples of phenomena that cannot be...Ch. 24 - Prob. 14CQCh. 24 - 15. Draw a point-like source of light. What is the...Ch. 24 - Draw two coherent light sources next to each...Ch. 24 - 17. Use the wave front representation to explain...Ch. 24 - 18. Use the wave front representation to explain...Ch. 24 - Compare the interference pattern produced by two...Ch. 24 - Draw 10 coherent point-like sources of light...Ch. 24 - If you see green light of 520-nm wavelength when...Ch. 24 - 22. Imagine that you have a very thin uniform oil...Ch. 24 - (a) Draw a picture of what you will see on a...Ch. 24 - Describe three situations that you can analyze...Ch. 24 - Why can you hear a person who is around a corner...Ch. 24 - 26 Astronomers often called the resolution limit...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Young’s double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Young’s double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - Gratings: an application of interference Light of...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference
12....Ch. 24 - Gratings: an application of interference Only half...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference
18....Ch. 24 - 24.4 Thin-film interference
20. * Representing...Ch. 24 - 24.4 Thin-film interference
21. * Oil film on...Ch. 24 -
24.4 Thin-film interference
22. * Soap bubble 1 ...Ch. 24 - 24.4 Thin-film interference * Soap bubble 2 soap...Ch. 24 - 24.4 Thin-film interference
24. * Thin-film coated...Ch. 24 - Thin-film interference * Thin-film coated glass...Ch. 24 - 24.4 Thin-film interference
26. Two flat glass...Ch. 24 - 24.5 Diffraction of light * Explain diffraction...Ch. 24 - 24.5 Diffraction of light * How did we derive it?...Ch. 24 - 24.5 Diffraction of light
31. * Explain a white...Ch. 24 - 24.5 Diffraction of light Light of wavelength 630...Ch. 24 - 24.5 Diffraction of light * Light of wavelength of...Ch. 24 - 24.5 Diffraction of light * Sound diffraction...Ch. 24 - 24.5 Diffraction of light * Light of wavelength...Ch. 24 - Prob. 36PCh. 24 - 24.6 Resolving power
37. Resolution of telescope ...Ch. 24 - Resolving power * Laser light of wavelength 630 nm...Ch. 24 - Resolving power * Size of small bead Infrared...Ch. 24 - Resolving power * Resolution of telescope How will...Ch. 24 - Resolving power * Detecting visual binary stars...Ch. 24 - Prob. 42PCh. 24 - 24.6 Resolving power
43 * Draw a graphical...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - Prob. 48PCh. 24 - Prob. 50PCh. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - * Monochromatic light passes through two slits and...Ch. 24 - 64. Sound from speakers Two stereo speakers...Ch. 24 - Prob. 65GPCh. 24 - 66. Diffraction of water waves entering a harbor ...Ch. 24 - ** Variable thickness wedge A wedge of glass of...Ch. 24 - Prob. 69GPCh. 24 - Looking at Moon rocks You have a home telescope...Ch. 24 - * BIO EST Diffraction-limited resolving power of...Ch. 24 - 72. * Resolving sunspots You are looking at...Ch. 24 - s Mare Imbrium The outermost ring of mountains...Ch. 24 - * Can you see atoms with a light-based microscope?...Ch. 24 - * Detecting insects by diffraction of sound A...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 -
BIO What is 20/20 vision? Vision is often...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...
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- An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?arrow_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_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
- Why is monochromatic light used in the double slit experiment? What would happen if white light were used?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_forwardTwo identical audio speakers connected to the same amplifier produce in-phase sound waves with a single frequency that can be varied between 340 and 575 HzHz . The speed of sound is 340 m/sm/s . You find that where you are standing, you hear minimum-intensity sound If one of the speakers is moved 39.8 cmcm toward you, the sound you hear has maximum intensity. What is the frequency of the sound? Express your answer in hertz. How much closer to you from the position in part B must the speaker be moved to the next position where you hear maximum intensity? Express your answer in meters.arrow_forward
- In your summer internship at an optical products company, you need to measure the wavelength λ of the light that is produced by a laser. To do this, you pass the light from the laser through two narrow slits that are separated by a distance d. You observe the interference pattern on a screen that is 0.900 m from the slits and measure the separation Δy between the adjacent bright bangs in the part of the picture that is near the center of the screen Using a microscope, you measure d. However, both Δy and d are small and difficult to measure accurately, so you repeat the measurements for several pairs of slits, each with a different value of d. Your results appear in Figure P35.52, where you have plotted Δy as a function of 1/d. The line on the graph is the best straight line for the data. (a)Explain why data points drawn in this way are close to a straight line. (b) Use Figure P35.52 to calculate λ.arrow_forwardThe interference figure of a set of double slits is measured at a stop. The experiment is performed with a laser with a wavelength of 450nm (approach the speed of light to 300,000 km/s in this situation) and it is measured that the interference maximum m=2 is 10mm away from the main maximum.Then, 2 pieces of glass are placed in front of each of the slits. The piece of glass P1 causes a delay in the wave (in relation to a wave that propagates in the air) of 7.5x10^(-16)sThe piece of P2 glass causes a delay of 3.75x10^(-16)s. How many mm will the main maximum be shifted from the initial position?a)1.25 towards P1b)1.25 towards P2c)1.50 towards P1d)1.50 towards P2e)1.75 towards P1f)1.75 towards P2g)2.00 towards P1h)2.00 towards P2i)2.25 towards P1j)2.25 towards P2arrow_forwardIn a double-slit interference experiment, the light source is a visible laser with wavelength 7.13E-7 m, the distance between slits is 5.42E-4m, and a screen is 5.38 m away from the slits. In the interference pattern on the screen, what is the distance between the central bright fringe and the first bright fringe next to it (in m)?arrow_forward
- the thickness of human hair is to be measured using the interference pattern produced by an air wedge. red light with a wavelength of 638nm is used on an air wedge that is 25.0cm long. If 10 bright fringes are counted across 1.06cm in the air wedge, what is the thickness of the hairarrow_forwardAnti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a particular color. Suppose a glass lens (ng = 1.6) is covered with a thin film (nf = 1.32) to prevent green light (λ = 538 nm) from being reflected. Write an expression for the minimum thickness the film can have, t.arrow_forwardA naval engineer is testing an nonreflective coating for submarines that would help them avoid detection by producing destructive interference for sonar waves that have a frequency of 512 Hz and travel at 1280 m/s. If there is a phase change for waves reflected from both the top and bottom surfaces of the coating, what is the minimum thickness of the coating? For sonar waves let nwater=1.00 and ncoating=13.5.arrow_forward
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