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 3dT
If a diffraction pattern has several minima (like the patterns shown in this tutorial), is the width of the slit greater than, less than, or equal to
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the fourier
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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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- A simple cubic crystal is illuminated with X- ray of wavelength 0.09 nm at a glance angle. The crystal is rotated and the angles at which Bragg reflection occurs are measured. 1. Which set of crystal plane will give the smallest angle for first - order reflection? Explain in details your answer. 2. If this angle is 8.9°, determine the spacing between these planes. 3. At what angle will first-order reflection be obtained from the (110) crystal planes? Will there be any higher order reflection from this plane?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_forwardUse the following information for the Gas Identification part of the lab. The data below are angles that might be recorded by a student using a spectrometer to map bright lines in the emission spectrum of some unknown gas. Be sure to record both the gas ID number and the diffraction grating constant (slit spacing) to be used in the analysis. In the answer field below, convert the first m=1 angle entry above to the corresponding wavelength expressed in nanometres. PLEASE SHOW THE STEPS FOR HOW TO CALCULATEarrow_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_forwardIn a double-slit experiment red light of wavelength λ = 650 nm is shone through two slits separated by a distance d. The second-order dark spot (second dark spot from the center) on the screen (which is much further from the slits than the slit separation d) occurs at an angle of 0.250°. What is the slit separation, d, in mm? Show your work. b) 10 What wavelength of visible light, when shone through the same slits, will yield a bright spot at the same angle? Show your work.arrow_forwardSolve the following problems as indicated. Show your complete solutions on a separate sheet of paper. 1. Refer to the illustration on the left. \60° The purple unpolarized light has an 900 original intensity, lo, of 25 W/m?. Assume that all the 3 filters are Unpolarized C idealized. Determine the intensities of light after passing thru points A, B, and C.arrow_forward
- Solve the following problems. Show your complete solutions legibly and concisely in the space below each item.arrow_forwardFor an aperture of width 1mm and using light of wavelength of 633 nm, estimate the distance from the aperture at which the Faunhofer approximation would be appropriate. a. Under the Fraunhofer condition, what would be the angle of the first minimum? b. If the screen is 1m away, how far from the central maximum would the first minimum be located?arrow_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_forward
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