Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 11.4, Problem 1bT
Suppose that point X marks the location of the first minimum on the screen.
How much farther (in terms of
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The diffraction pattern below arises from a single slit. If we would like to sharpen the pattern (i.e., make the central bright spot narrower), what should we do to the slit width?
a) widen the slit
b) enlarge the screen
c) close off the slit
d) None of the other responses are correct.
As shown is the interference pattern seen on a viewing screen behind 2 slits. Suppose the 2 slits were replaced by 20 slits having the same spacing d between adjacent slits.a. Would the number of fringes on the screen increase, decrease, or stay the same?b. Would the fringe spacing increase, decrease, or stay the same?c. Would the width of each fringe increase, decrease, or stay the same?d. Would the brightness of each fringe increase, decrease, or stay the same?
Consider 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?
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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- When the width of the slit is made double, how would this effect the size and intensity of the central diffraction band? Justify your answer with the help of diagram.arrow_forwardConsider the interference pattern in the diagram. (The crests are represented by thick lines and the troughs by thin lines.) If the distance from S1 to point A is 49.5 cm and the distance from S2 to point A is 60.5 cm, then what is the wavelength?arrow_forwardPlease show formula and units For the figure shown below, let R = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500 nm light. The first bright fringe (m = 1) happens at point P. Calculate the phase difference (ϕ) between the two wave fronts arriving to point P in radians when: a) θ = 0.500⸰ b) y = 5.00 mm. The value of θ in part b is not the same as the value of θ from part a. However, you may assume that θ in part b is small.arrow_forward
- the central part of the interference pattern for a pure wavelength of red light projected onto a double slit.The pattern is actually a combination of single slit and double slit interference. Note that the bright spots are evenly spaced. Isthis a double slit or single slit characteristic? Note that some of the bright spots are dim on either side of the center. Is this asingle slit or double slit characteristic? Which is smaller, the slit width or the separation between slits? Explain your responsesarrow_forwardDiscuss the two cases, constructive and destructive interferences, as a result of thin-film interference. (Provide figure/s to support your statement.)arrow_forwardConsider 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 minimumarrow_forward
- For the figure shown below, the two sources are 6cm apart, and they are in phase. Two paths are drawn from the sources to a point. (The picture is to scale, even if the sources are not 6cm apart on the paper.) (a) If the wavelength of the two sources is 2cm, for the picture, figure out whether the point marks a position of constructive or destructive interference. (b) Repeat if the wavelength is 1cm.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_forwardFor the figures shown below, the two sources are 6cm apart, and they are in phase. Two paths are drawn from the sources to a point. (The picture is to scale, even if the sources are not 6cm apart on the paper.) (a) If the wavelength of the two sources is 2cm, for each picture, figure out whether the point marks a position of constructive or destructive interference. (b) Repeat if the wavelength is 1cm.arrow_forward
- You just won a brand new laser pen and you want to know the wavelength of the light, so you set up Young’s double-slit experiment and observe the interference pattern on screen 1.2 meters away from the slits. The slits are 0.25 mm apart and you measure the distance between the centers of the first dark fringes on either side of the central maximum to be 3 mm. What is the wavelength of your new laser? If visible, what color should it appear, if not visible state the region of the EM spectrum? Hint: Draw a picture.arrow_forwardA 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_forwardSpeakers A and B are in a straight line with a person (P) with the closer speaker B located 2m from her and speaker A located 3 meters away from her as shown. What is the longest wavelength from which there will be destructive interference at P.arrow_forward
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