Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 11.4, Problem 3cT
Describe what you would see on the screen if the width of the slit were gradually decreased to zero. Discuss your predictions with your partners.
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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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- Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0709 nm. 0₁ 02 Oarrow_forwardthe fourier of a rectangular 1. Calculate transform function 2. What is the fraunhofer effect? How is it achieved experimentally? 3. Derive the angle of the first minimum in the single slit diffraction 4. How is the formula that you derived in 3 related to fraunhofer diffraction?arrow_forwardSolve the following exercise; document each step of the process.Consider a double-slit Young interferometer: 1) Write down the evolution operator for propagation from the double slits to the observation screen.arrow_forward
- Calculate the angle in degrees at which a 2.10 µm wide slit produces its first minimum for 410 nm violet light. Enter your result to the nearest 0.1°. Where is the first minimum in degrees for 715-nm red light?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_forwardRemaining Time: 54 minutes, 29 seconds. Question Completion Status: Moving to another question will save this response. uestion 5 Consider the diffraction pattern for a small pinhole. As the size of the hole is increased the size decreases. O the intensity decreases. O the size increases. O the intensity decreases O None of these Moving to another question will save this response.arrow_forward
- Assume 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_forwardProvide an overview of Thomas Young’s double-slit experiment, its key findings, and the implications of the findings on our understanding of matter. Diagrams or sketches may be used to support your answerarrow_forwardplease reexplain this paragraph two-beam interference with the double exciter:the circular waves generated by the double exciter are super- posed at the points where they meet. The areas with no wave motion indicate cancellation (minima).the minima and maxima are positioned along hyperbolas with the excitation centers as focal points. the relationships given in the section h0rinciples” for the positions of the hyperbolas are confirmed experimentally.The interference patterns are determined by the distance be- tween exciters, and by the wavelength. the number of hyperbo- las increases with the exciter spacing and the wavelength, and the hyperbolas open further.arrow_forward
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