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44 What are the differences in the characteristics of the
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32 Why is it important that monochromatic light was
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used to make the interference pattern in Young s interference experiment (191)
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diffraction patterns formed by diffraction gratings containing 104 lines/cm and 105 lines/cm
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45 Laser Pointer Challenge You have two laser
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pointers, a red one and a green one Your friends Mark and Carlos disagree about which has the longer wavelength Mark insists that red light has a longer wavelength, while Carlos is sure that green has the longer wavelength You have a diffraction grating handy Describe what demonstration you would do with this equipment and how you would explain the results to Carlos and Mark to settle their disagreement
33 Explain why the position of the central bright band
of a double-slit interference pattern cannot be used to determine the wavelength of the light waves (191)
34 Describe how you could use light of a known wavelength to find the distance between two slits (191)
35 Describe in your own words what happens in thinfilm interference when a dark band is produced by light shining on a soap film suspended in air Make sure you include in your explanation how the wavelength of the light and thickness of the film are related (191)
46 Optical Microscope Why is blue light used for
illumination in an optical microscope
Mastering Problems
191 Interference 47 Light falls on a pair of slits 190 m apart and
800 cm from a screen, as shown in Figure 19-17 The first-order bright band is 190 cm from the central bright band What is the wavelength of the light
36 White light shines through a diffraction grating
Are the resulting red lines spaced more closely or farther apart than the resulting violet lines Why
(192)
37 Why do diffraction gratings have large numbers of
slits Why are these slits so close together (192)
38 Why would a telescope with a small diameter not
be able to resolve the images of two closely spaced stars (192)
190 m
39 For a given diffraction grating, which color of
visible light produces a bright line closest to the central bright band (192)
800 cm Double slit
Screen Figure 19-17 (Not to scale)
19 Interference and Diffraction For more problems, go to Additional Problems, Appendix B
48 Oil Slick After a short spring shower, Tom and Ann
take their dog for a walk and notice a thin film of oil (n 145) on a puddle of water, producing different colors What is the minimum thickness of a place where the oil creates constructive interference for light with a wavelength of 545 nm
53 A good diffraction grating has 25 103 lines per cm
What is the distance between two lines in the grating
54 Light with a wavelength of 45 10
49 Light of wavelength 542 nm falls on a double slit
First-order bright bands appear 400 cm from the central bright band The screen is 120 m from the slits How far apart are the slits
5 cm passes through a single slit and falls on a screen 100 cm away If the slit is 0015 cm wide, what is the distance from the center of the pattern to the first dark band
50 Insulation Film Winter is approaching and
Alejandro is helping to cover the windows in his home with thin sheets of clear plastic (n = 181) to keep the drafts out After the plastic is taped up around the windows such that there is air between the plastic and the glass panes, the plastic is heated with a hair dryer to shrink-wrap the window The thickness of the plastic is altered during this process Alejandro notices a place on the plastic where there is a blue stripe of color He realizes that this is created by thin-film interference What are three possible thicknesses of the portion of the plastic where the blue stripe is produced if the wavelength of the light is 440 102 nm
55 Hubble Space Telescope Suppose the Hubble
Space Telescope, 24 m in diameter, is in orbit 10 105 m above Earth and is turned to view Earth, as shown in Figure 19-19 If you ignore the effect of the atmosphere, how large an object can the telescope resolve Use = 51 10 7 m
51 Samir shines a red laser pointer through three
different double-slit setups In setup A, the slits are separated by 0150 mm and the screen is 060 m away from the slits In setup B, the slits are separated by 0175 mm and the screen is 080 m away Setup C has the slits separated by 0150 mm and the screen a distance of 080 m away Rank the three setups according to the separation between the central bright band and the first-order bright band, from least to most separation Specifically indicate any ties
Figure 19-19
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