Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 11.3, Problem 3bT
Generalize your results from the 2-slit, 3-slit, and 4-slit cases to determine the smallest value of
Which integer multiples of this value of
How many minima would there be between adjacent principal maxima?
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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 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_forwardAt what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light is incident normally on two slits separated by 0.025 mm? Also, At what angle do you observe the 3rd order minimum? Set-up is the same as above and with a slit separation of 0.025 mm. Make sure to answer both parts of the question. Show all work.arrow_forwardMirror M, in the figure below is moved through a displacement AL. During this displacement, 240 fringe reversals (formation of successive dark or bright bands) are counted. The light being used has a wavelength of 634.8 nm. Calculate the displacement AL. 39.6 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. µm A single ray of light is split into two rays by mirror M, which is called a beam splitter. Light source The path difference between the two rays is varied with the adjustable mirror M1. M1 Telescope Mo As M1 is moved, an interference M2 pattern changes in the field of view. Need Help? Read It Master Itarrow_forward
- In a Young's double-slit experiment, blue light (?λ = 440 m) gives a second-order bright fringe at a certain location on a flat screen. What wavelength of visible light would produce a dark fringe at the same location? Assume that the range of visible wavelengths extends from 380 to 750 nm. Calculate the wavelength that fulfills the problem description. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did, any approximations you make and the thought process behind why you did that. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.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_forwardA 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_forward
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