Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 11.2, Problem 2aT
To determine
To Describe: The shape of the wavefronts emanating from each of the two slits.
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Students have asked these similar questions
What happens to the intensity of the wave in double-slit when the slit separation changes? Also, what happens to the intensity of the wave in the double-slit when the slit width is changed? Please use the equations of double slits to explain why those changes happen and why they are true.
A beam of monochromatic light with
a wavelength of 500 nm is directed
through an absorber having 5 equally
narrow slits separated by 20 um
between adjacent slits. The resulting
diffraction pattern is observed on a
screen that is perpendicular to the
direction of light and 5 m from the
slits. The intensity of the central
maximum is 1.3 W/m2. Calculate
the distances from the central
maximum to the first and second
principal maxima
respectively.
on the
screen
A. 8 cm and 25 cm
B. 8 cm and 12 cm
C. 12.5 cm and 25 cm
D. 25 cm and 9.2 cm
E. 9.2 cm and 23 cm
One part of the a filter has two slits side-by-side. To measure the width of the slits and the distance between them, you decide to shine a laser and examine the interference pattern on a screen, x distance.
- Derive an equation or expression that describes the location of the intensity maxima on a screen resulting from coherent light passing through two thin slits with a definite width and distance between the centers of the slits. Define the symbols used in your derivation using either text or a diagram. - Sketch a graph or diagram showing the light intensity pattern on the screen.
- What pattern would you expect to see on the screen if light from the two slits did not interfere? Sketch it and point out differences between the last
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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- Why is monochromatic light used in the double slit experiment? What would happen if white light were used?arrow_forwardTwo slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?arrow_forwardConsider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forward
- Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?arrow_forwardWhat is the connection between the double-slit interference test of light and the water wave interference test? Do the interference and diffraction equations defined for light also apply to water waves? Explain..arrow_forwardSlits- Single Slit Design an experiment to verify the concept that for small angles the angular spread is inversely proportional to the ratio of a/λ , and collect data. link to the simulation: https://phet.colorado.edu/en/simulation/wave-interferencearrow_forward
- Plane waves are incident on a slit whose width is adjustable. The slit starts out on wavelength wide and increases to a width of 1000 wavelengths. Describe qualitatively the change in the diffraction pattern.arrow_forwardCalculate the wavelength of light in a double slit experiment if the 3rd bright fringe is located 1.1 cm away from the centre of the screen positioned 10 m away from two slits 1 mm apart. Provide your answer in nanometers (nm). Answer: Choose...arrow_forwardIn a double-slit interference experiment, d is the distance between the centers of the slits and w is the width of each slit, as shown in the figure above. For incident plane waves, if an interference maximum on a distant screen will fall at a diffractive minimum, which of the following relations between d and w is correct? @ 3d=2w @ 2d=3w. @d=3¹/2w. @d=2¹/2w @ 2d=w.arrow_forward
- Please explain each step....You shine monochromatic light with wavelength 720 nm through a slit that has a width of 0.750 mm and observe a diffraction pattern on a screen that is 3.60 m from the slit. The intensity at the center of the central maximum is Io = 7.80 W/m2. What is the intensity of the light at a point on the pattern that is halfway between the center of the central maximum and the first minimum of interference? The purple line in the figure shows the points that are halfway between the center of the central max. and the first min.arrow_forwardThe table below presents data gathered by students performing a double-slit experiment. The distance y from the central maximum to other maxima is given. The distance between the slits is 0.0800 mm, and the distance to the screen is 2.20 m. The intensity of the central maximum is 6.90 x 10-5 W/m2. what is the intensity at y = 0.500 cm? y (cm) -4 -4.95 -3 -3.71 -2 -2.48 -1 -1.24 0.00 1 1.24 2.48 3 3.71 4.95 w/m2 Need Help? Read Itarrow_forwardCoherent light of wavelength 633[nm] passes through two thin slits and creates an interference pattern on a screen 100[cm] away from the slits. How far apart must the slits be to create an interference pattern where the first-order bright fringe appears 0.52[cm] away from the center? A. 0.061[mm] B. 0.122[mm] C.0.166[mm] D. 0.244[mm]arrow_forward
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