Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
2nd Edition
ISBN: 9780137443000
Author: Eugenia Etkina, Gorazd Planinsic
Publisher: PEARSON+
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Textbook Question
Chapter 24, Problem 63GP
* Monochromatic light passes through two slits and then strikes a screen. The distance separating the central maximum and the first bright fringe at the side is 2.0 cm. Determine the fringe separation when the following quantities change simultaneously the slit separation is doubled, the
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Monochromatic light passes through two slits and then strikes a screen. The distance on the screen between the central maximum and the first bright fringe is 2.0 cm.
a) Sketch the situation Include symbols of any quantities used in the equations.
b) Determine the fringe separation if the slit separation is doubled and everything else remains unchanged.
c) Determine the fringe separation if the wavelength is doubled and everything else remains unchanged.
d) Determine the fringe separation if the screen distance is doubled and everything else remains unchanged.
Check your answers with both ray diagrams and equations.
Chapter 24 Solutions
Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
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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- In a Youngs double-slit experiment, a set of parallel slits with a separation of 0.100 mm is illuminated by light having a wave- length of 589 nm, and the interference pattern is observed on a screen 4.00 m from the slits, (a) What is the difference in path lengths from each of the slits to the location of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern?arrow_forwardMonochromatic light of wavelength is incident on a pair of slits separated by 2.40 104m. and forms an interference pattern on a screen placed 1.80 m away from the slits. The first-order bright fringe is 4.52 mm from the center of the central maximum. (a) Draw a picture, labeling the angle and the legs of the right triangle associated with the first-order bright fringe. (b) Compute the tangent of the angle associated with the first-order bright fringe. (c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle. Are the sine and tangent of the angle comparable in value? Does your answer always hold true? (d) Calculate the wavelength of the light. (e) Compute the angle of the fifth-order bright fringe. (f) Find its position on the screen.arrow_forwardMonochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?arrow_forward
- (a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.arrow_forwardWhat is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.arrow_forward(a) What is the minimum width of a single slit (in multiples of ) that will produce a first minimum for a wavelength ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?arrow_forward
- Figure 27.55 shows the central part of the interference pattern for a pure wavelength of red light projected onto a double slit. The pattern is actually a combination of single slit and double slit interference. Note that the bright spots are evenly spaced. Is this a double slit or single slit characteristic? Note that some of the bright spots are dim on either side of the center. Is this a single slit or double slit characteristic? Which is smaller, the slit Width or the separation between slits? Explain your responses. Figure 27.55 This double slit interference pattern also shows signs of single slit interference. (credit: PASCO)arrow_forward(a) What is the distance between the slits of a diffraction grating that produces a first-order maximum for the first Balmer line at an angle of 20.0°? (b) At what angle will the fourth line of the Balmer series appear in first order? (c) At what angle will the second-order maximum be for the first line?arrow_forwardNewtons rings, discovered by Isaac Newton, are an interference pattern of dark and bright rings formed because of the air gap of increasing thickness w between a spherical surface and an adjoining flat surface (Example 36.2). Figure P36.55 shows a Newtons rings apparatus with a plano-convex lens with radius of curvature R atop a flat glass slab, both with index of refraction nglass. In the configuration shown, the seventh bright fringe has a radius of 1.10 cm. After the air gap in the apparatus is filled with an unknown liquid, the radius of the seventh fringe decreases to 0.968 cm. What is the index of refraction of the unknown liquid? FIGURE P36.55arrow_forward
- Suppose Youngs double-slit experiment is performed in air using red light and then the apparatus is immersed in water. What happens to the interference pattern on the screen? (a) It disappears. (b) The bright and dark fringes stay in the same locations, but the contrast is reduced. (c) The bright fringes are closer together. (d) The bright fringes are farther apart. (e) No change happens in the interference pattern.arrow_forwardCoherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1 with respect to the normal to the plane containing the slits as shown in Figure P36.9. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer. Figure P36.9arrow_forwardCoherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.arrow_forward
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