Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 11.1, Problem 2iT
Obtain a piece of paper and a transparency with concentric circles on them. The circles represent wave fronts generated by each of two point sources.
Suppose that the two sources arc in phase and at the same location. Overlay the transparency on the paper to model this situation.
Explain why there are no nodal lines in this case.
Gradually increase the source separation until you first see nodal lines.
In the space at right, sketch the nodal lines and the lines of maximum constructive interference for this situation.
What is the source separation when this occurs?
Why can there be no nodal lines for a smaller source separation? Explain. (Hint: For a given source separation, what is the largest possible value of
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Two point sources are vibrating together (in phase) at the same frequency to produce a two-point source interference pattern. The diagram at the right depicts the two-point source interference pattern. The crests are represented by thick lines and the troughs by thin lines. Several points on the pattern are marked by a dot and labeled with a letter. Use the diagram to answer the following questions.
a. Which of the labeled points are located on the second antinodal line?
b. Which of the labeled points are located on the third antinodal line?
c. Which of the labeled points are located on the first nodal line (using the notation that the first nodal line is the nodal line directly to the left or the right of the central antinodal line)?
d. Which of the labeled points are located on the second nodal line (using the notation that the second nodal line is the second nodal line directly to the left or the right of the central antinodal line)?
e. Which of the labeled points are located on the…
Two loudspeakers are placed side by side a distance d = 4.00 m apart. A listener observes
maximum constructive interference while standing in front of the loudspeakers, equidistant from
both of them. The distance from the listener to the point halfway between the speakers is 1 =
5.00 m.
One of the loudspeakers is then moved directly away from the other. Once the speaker is
moved a distance r = 60.0 cm from its original position, the listener, who is not moving,
observes destructive interference for the first time.
Find the speed of sound in the air if both speakers emit a tone of frequency 700 Hz.
Figure
d/2
d/2
TR
1
82
1 of 1
D. The top-view diagram at below illustrates two point-sources, Sı and S2 that are a distance
d apart.
S,
S.
1. On the diagram, indicate locations for which the value of AL is (1) largest and (2) smallest.
2. What are the largest and smallest values of AL for this situation? Explain your reasoning.
3. What other information would you need to know in order to determine how many lines of
constructive interference and nodal lines are present?
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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