Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 11.2, Problem 2bT
Obtain an enlargement of the diagram at right that shows the wavefronts for the case in which the distance between the centers of the slits is
For this situation, which values of
At how many points along the line X—X' in the diagram above is there (1) complete destructive interference and (2) maximum constructive interference? Mark the approximate locations of all of these points on the diagram above, and label each point with the corresponding value of
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In the figure 1 given below, b and c are filtered images of
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The previous figure is also labeled with points A and B which are at the locations of maximaand points C and D which are at the locations of minimum For Questions b and c below,you will need to discuss whether each of those minima/maxima stays at the same location,moves to the left or moves to the right and then explain your answers for each
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Sliding section
Receiver
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Chapter 11 Solutions
Tutorials in Introductory Physics
Ch. 11.1 - Prob. 1TCh. 11.1 - Prob. 2aTCh. 11.1 - Prob. 2bTCh. 11.1 - Prob. 2cTCh. 11.1 - The representation that we have been using...Ch. 11.1 - Prob. 2eTCh. 11.1 - Prob. 2gTCh. 11.1 - Each of the photographs at right shows a part of a...Ch. 11.1 - Obtain a piece of paper and a transparency with...Ch. 11.2 - Obtain a pan of water and form a barrier in it...
Ch. 11.2 - Prob. 2aTCh. 11.2 - Obtain an enlargement of the diagram at right that...Ch. 11.2 - Suppose that the width of one of the slits were...Ch. 11.2 - Red light from a distant point source is incident...Ch. 11.2 - Compare the situation in part II (in which a...Ch. 11.2 - For each of the lettered points, determine D (in...Ch. 11.2 - Suppose that one of the slits were covered. At...Ch. 11.2 - The pattern produced by red light passing through...Ch. 11.2 - Consider point B, the first maximum to the left of...Ch. 11.3 - Red light from a distant point source is incident...Ch. 11.3 - In a previous homework, you found an expression...Ch. 11.3 - Suppose that the screen were semicircular, as...Ch. 11.3 - Consider a point M on the distant screen where...Ch. 11.3 - Consider a point N on the screen where there is a...Ch. 11.3 - Obtain a set of transparencies of sinusoidal...Ch. 11.3 - Suppose that coherent red light were incident on a...Ch. 11.3 - Generalize your results from the 2-slit, 3-slit,...Ch. 11.3 - Coherent red light is incident on a mask with two...Ch. 11.3 - Prob. 3dTCh. 11.4 - Red light from a distant point source is incident...Ch. 11.4 - Suppose that point X marks the location of the...Ch. 11.4 - Suppose that only slit 1 is uncovered, and all...Ch. 11.4 - Show how you could group all ten slits into five...Ch. 11.4 - Suppose that the number of slits is doubled and...Ch. 11.4 - If we continued to add slits in this way (i.e.,...Ch. 11.4 - How is this pattern different from what you would...Ch. 11.4 - Consider the following dialogue: Student 1: "l...Ch. 11.4 - The photograph at right shows the diffraction...Ch. 11.4 - The photograph at right shows the diffraction...Ch. 11.4 - Describe what you would see on the screen if the...Ch. 11.4 - If a diffraction pattern has several minima (like...Ch. 11.4 - In part A, you drew a diagram that showed how find...Ch. 11.4 - Use the model that we have developed to write an...Ch. 11.5 - The minima that occur in the case of a single slit...Ch. 11.5 - Consider the following dispute between two physics...Ch. 11.5 - A second slit, identical in size to the first, is...Ch. 11.5 - Both slits are now uncovered. For what angles will...Ch. 11.5 - Suppose that the width of both slit, a, were...Ch. 11.5 - Suppose instead that the distance between the...Ch. 11.5 - The four graphs from part C that show relative...Ch. 11.5 - Consider the relative intensity graph shown at...Ch. 11.5 - Consider the following comment made by a student:...Ch. 11.5 - You may have already noticed that the maxima are...Ch. 11.6 - Prob. 1TCh. 11.6 - Prob. 2aTCh. 11.6 - When comparing two materials of different indices...Ch. 11.6 - Consider light incident on a thin soap film, as...Ch. 11.6 - Light of frequency f=7.51014Hz is incident on the...Ch. 11.6 - Suppose that an observer were located on the left...Ch. 11.6 - Observer A is looking at the part of the film that...Ch. 11.6 - Observer B is looking at the part of the film that...Ch. 11.6 - Observer C is looking at the thinnest part of the...Ch. 11.6 - Describe the appearance of the film as a whole.Ch. 11.6 - What are the three smallest film thickness for...Ch. 11.6 - The thickness of the film is 1650 nm at the bottom...Ch. 11.7 - Look at the room lights through one of the...Ch. 11.7 - Hold a second polarizing filter in front of the...Ch. 11.7 - Do the room lights produce polarized light?...Ch. 11.7 - Suppose that you had two marked polarizers (i.e.,...Ch. 11.7 - Suppose that you had a polarizer with its...Ch. 11.7 - Prob. 2dTCh. 11.7 - An observer is looking at a light source through...Ch. 11.7 - Consider a beam of unpolarized light that is...
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- On the diagram below, mark the locations of all minima and principal maxima for the specific case of three identical slits separated by a distance d=2.41. Label each minimum and principal maximum with the corresponding value of FADadj and 0. Semicircular screen N 3 narrow slits (not shown) d = 2.4λ between adjacent slitsarrow_forwardThe experiment described in question 2 above is performed, but this time, a strip of transparent plastic is placed over the left slit. Its presence changes the interference between light waves from the two slits, causing the interference pattern to be shifted across the screen from the original pattern. Explain, clearly but briefly, which way (right or left) the original pattern shifts and why this shift occurs.arrow_forwardTwo loudspeakers are placed above and below each other, as shownand driven by the same source at a frequency of400Hz. An observer is in front of the speakers (to the right) at pointO, at the same distance from each speaker. What minimum vertical distance upward should the top speaker be moved to create constructive interference at pointO?The speed of sound is 343m/s. Pls show all your workarrow_forward
- A beam of white light, containing wavelengths from 400 nm (violet) to 750 nm (red), is directed at a pair of narrow slits 0.002 mm apart. Sketch and label the patterns (i.e., locations and colors) of light which will be seen on a large wall behind the slits. Show any calculations that you use to justify your sketch.arrow_forwardRed light from a distant point source is incident on a mask with two identical, very narrow vertical slits. The diagram below illustrates the pattern that appears at the center of a distant screen. Pattern on screen A B C D E G Top view (not to scale) Screen AD ΔΦ Mask with 2 slits To small distant bulb For each of the lettered points, determine AD (in terms of X) and Ap, the phase difference between the waves. Note: Point C is at the center of the screen. A B C D E Garrow_forwardAfter passing through a diffraction grating with a period of d = 6.5μm, located 5m away from the screen, laser light creates the image on the screen shown below. What is the wavelength of the light if the distance between zero and first maxima is 50cm? Show all your work. For a full credit, cite relevant formulas and problems from the notes.arrow_forward
- If light with a wavelength of 480 nm is used in a two-slit experiment with a barrier with slits that are 0.05 mm apart that is 1.6 m from the projection screen. What is the distance from the center of the first and third dark fringes? Show your work.arrow_forwardWhen the slits are very close together, it is as if there were just one slit, and we see a basic diffraction pattern, however once we spread out the slits, we can start to see interference when waves passing through the two different slits interfere with each other. Confirm your prediction above and write your observation of the difference in the diffraction patterns between spacings less than and greater than the wavelength size.arrow_forwardA source of sound waves (wavelength A) is a distance I from a detector. Sound reaches the detector directly, and also by reflecting off an obstacle, as shown in the figure. The obstacle is equidistant from source and detector. When the obstacle is a distance d to the right of the line of sight between source and detector, as shown, the two waves arrive in phase. Figure Detector Source Obstacle 1 of 1arrow_forward
- Please use the picture provided to answer the following two questions: 1. are the two sources in phase or out of phase? Explain how you can tell from the diagram. if the two sources are out of phase, give the phase difference between the two sources. Explain. 2. What is the source separation, d, in terms of the wavelength lamda? Explain your reasoning.arrow_forwardAssume the figure below was photographed with red light of a single wavelength i. The light passed through a single slit of width a and traveled distance L to the screen where the photograph was made. Consider the width of the central bright fringe, measured between the centers of the dark fringes on both sides of it. Rank from largest to smallest the widths of the central fringe in the following situations and note any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) (a) The experiment is performed as photographed. (b) The experiment is performed with light whose frequency is increased by 50%. (c) The experiment is performed with light whose wavelength is increased by 50%. (d) The experiment is performed with the original light and with a slit of width 2a. (e) The experiment is performed with the original light and slit and with distance 2L to the screen. Need Help? Read Itarrow_forwardConsider the interference pattern at the right. (The crests are represented by thick lines and the troughs by thin lines.) The distance from S1 to point D is 47.2 cm. What is the wavelength? What is the distance from S2 to point D?arrow_forward
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