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 11.5, Problem 3bT
Consider the following comment made by a student:
“To determine slit width, I used the first minimum, at
What is the flaw in the reasoning used by this student? Explain your reasoning.
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Consider a single slit that produces its first minimum for 630 nm light at an angle of 26 degrees
Part a: How wide is the single slit in meters?
Part b: at what angle ( in degrees) will the second be minimum
Suppose that the simulated light source was polychromatic, with both a red and a yellow component, as shown on the right. How easy would it be to identify the positions (yP ) of the separate red and yellow interference maxima? Can you think of a change in the appearance of the interference pattern of each individual wavelength that, were it to happen, would help to distinguish the red from the yellow peaks?
Solve the following: (show your complete solution)
(a) At what angle is the first minimum for 550-nm light falling on a single slit of width 1.00 µm?
(b) Will there be a second minimum?
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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- Given the data below, calculate the distance between side orders, Δy_1 (cm) and distance between side orders, y_1 (cm) if m=1 and slit width (cm) is equal to: 0.02, 0.04, 0.08, 0.16. Explain/show how calculations were made.***If the information I have provided is incomplete, please reply with the additional information needed so I can fix it.arrow_forwardConsider a single slit being illuminated by light with wavelength λ. Part (a) What is the minimum width, w1min, expressed as a multiple of λ, for which the slit produces the first minimum? Part (b) What is its minimum width of the slit, w50,min, if it produces 50 minima? Again, express this in multiples of λ. Part (c) What if it produces 1000 minima?arrow_forwardWhat minimum path length is needed to introduce a phase shift of 205° in light of wavelength 566 nm? (Give your answer in nm.) What phase shift will that path difference you calculated in part (a) introduce in light of wavelength 799 nm? (Give you answer in degree.)arrow_forward
- At 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_forwardLaser light with a wavelength of 632.8 nm is directed through one slit or two slits and allowed to fall on a screen 2.60 m beyond. as shown the pattern on the screen, with a centimeter ruler below it. (a) Did the light pass through one slit or two slits? Explain how you can determine the answer. (b) If one slit, find its width. If two slits, find the distance between their centers.arrow_forwardAn intereference pattern is produced by light with a wavelength of 560 nm from a distant source incident on two identical parallel slits seperated by a distance (between centers) of 0.580 mm. (A) if the slits are very narrow what would be the angular position of the first order two slit intereference maxima? Express your answer in radians. (B) what would be the angular position of the second order two slit intereference maxima in this case?arrow_forward
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