Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Textbook Question
Chapter 36, Problem 45PQ
CASE STUDY Michelson’s interferometer played an important role in improving our understanding of light, and it has many practical uses today. For example, it may be used to measure distances precisely. Suppose the mirror labeled 1 in Figure 36.30 (page 1176) is movable. If the laser light has a wavelength of 632.5 nm, how many fringes will pass across the detector if mirror 1 is moved just 1.000 mm? If you can easily detect the passage of just one fringe, how accurately can you measure the displacement of the mirror?
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Michelson's interferometer played an important role in improving our understanding of light, and it has many practical uses today. For
example, it may be used to measure distances precisely. Suppose the mirror labeled 1 in the figure below is movable.
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source
Detector
S
B
G
2
If the laser light has a wavelength of 641.0 nm, how many fringes will pass across the detector if mirror 1 is moved just 1.720 mm?
fringes
If you can easily detect the passage of just one fringe, how accurately can you measure the displacement of the mirror?
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Michelson's interferometer played an important role in improving our understanding of light, and it has many practical uses today. For example, it may be used to measure distances precisely. Suppose the
mirror labeled 1 in the figure below is movable.
Light
source
Detector
L
A
·L·
S
G
2
B
If the laser light has a wavelength of 640.0 nm, how many fringes will pass across the detector if mirror 1 is moved just 1.160 mm?
fringes
If you can easily detect the passage of just one fringe, how accurately can you measure the displacement of the mirror?
nm
2 Problem 2
Assume two adjacent interstellar gas clouds with known thickness dị and d2 found in front of an
astronomical light source. Suppose that this source emits a beam of radiation with known specific
intensity 1, as it enters the first cloud of interstellar gas. Calculate the specific intensity I, immediately
after this beam has traversed the two clouds of gas. Assume that the densities (p1 and p2) and the
opacities (k,1 and ky,2) are constant within the clouds and are known quantities and that these clouds
possess no emissivity. (Note the relationship between the opacity and absorption coefficient a, = pk,.
See Rybicki and Lightman eq. 1.22.)
%3D
Chapter 36 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 36.2 - Prob. 36.1CECh. 36.3 - Prob. 36.2CECh. 36.4 - Prob. 36.3CECh. 36.5 - Prob. 36.4CECh. 36.5 - Prob. 36.5CECh. 36 - Many circular apertures are adjustable, such as...Ch. 36 - Many of the images we regularly look at are...Ch. 36 - The hydrogen line at 1420.4 MHz corresponds to the...Ch. 36 - Prob. 4PQCh. 36 - Estimate the diffraction-limited resolution of the...
Ch. 36 - Prob. 6PQCh. 36 - Prob. 7PQCh. 36 - Prob. 8PQCh. 36 - Prob. 9PQCh. 36 - Prob. 10PQCh. 36 - Prob. 11PQCh. 36 - Prob. 12PQCh. 36 - Prob. 13PQCh. 36 - Prob. 14PQCh. 36 - Prob. 15PQCh. 36 - Prob. 16PQCh. 36 - Prob. 17PQCh. 36 - Prob. 18PQCh. 36 - Prob. 19PQCh. 36 - Prob. 20PQCh. 36 - Prob. 21PQCh. 36 - Prob. 22PQCh. 36 - Prob. 23PQCh. 36 - Prob. 24PQCh. 36 - Light of wavelength 566 nm is incident on a...Ch. 36 - Prob. 26PQCh. 36 - Prob. 27PQCh. 36 - Prob. 28PQCh. 36 - Prob. 29PQCh. 36 - Prob. 30PQCh. 36 - A light source emits a mixture of wavelengths from...Ch. 36 - Prob. 32PQCh. 36 - Prob. 33PQCh. 36 - Prob. 34PQCh. 36 - Prob. 35PQCh. 36 - Prob. 36PQCh. 36 - Prob. 37PQCh. 36 - Prob. 38PQCh. 36 - Prob. 39PQCh. 36 - Prob. 40PQCh. 36 - Prob. 41PQCh. 36 - Prob. 42PQCh. 36 - Prob. 43PQCh. 36 - Prob. 44PQCh. 36 - CASE STUDY Michelsons interferometer played an...Ch. 36 - CASE STUDY Michelsons interferometer played an...Ch. 36 - Prob. 47PQCh. 36 - Prob. 48PQCh. 36 - Problems 49 and 50 are paired. C Optical flats are...Ch. 36 - Optical flats are flat pieces of glass used to...Ch. 36 - Prob. 51PQCh. 36 - Prob. 52PQCh. 36 - Figure P36.53 shows two thin glass plates...Ch. 36 - Viewed from above, a thin film of motor oil with...Ch. 36 - Newtons rings, discovered by Isaac Newton, are an...Ch. 36 - Prob. 56PQCh. 36 - What is the radius of the beam of an argon laser...Ch. 36 - Prob. 58PQCh. 36 - A diffraction grating with 428 rulings per...Ch. 36 - How many rulings must a diffraction grating have...Ch. 36 - Prob. 61PQCh. 36 - White light is incident on a diffraction grating...Ch. 36 - X-rays incident on a crystal with planes of atoms...Ch. 36 - Prob. 64PQCh. 36 - Prob. 65PQCh. 36 - Prob. 66PQCh. 36 - The fringe width b is defined as the distance...Ch. 36 - The fringe width is defined as the distance...Ch. 36 - Prob. 69PQ
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- How do you do all the parts in this problem?arrow_forwardPlease Asaparrow_forwardQUESTION 7 A beam of monochromatic light is diffracted by a slit of width 0.620 mm. The diffraction pattern forms on a wall 1.30 m beyond the slit. The width of the central maximum is 1.80 mm. Calculate the wavelength of the light in nm. 1 nm = 10-⁹ m Submit your answer with the correct number of significant figures. You are required to show your work in the file you submit. Asarrow_forward
- please helpppparrow_forwardWhat happens to the diffraction patters when the following are changed? Thoroughly describe each. a. The width of a single slit, w b. The width w and separation d of double slit c. The number of multiple slits N d. The distance from the slit plate to the sensor L e. The experimental y value collected from your data.arrow_forwardRequired information A laser has a wavelength of 530 nm. A grating and a lens are used to split the beam into three parallel beams spaced 1 cm apart. If the slit spacing is 1.00 µm, what focal length lens should be used? cmarrow_forward
- Michelson's interferometer played an important role in improving our understanding of light, and it has many practical uses today. For example, it may be used to measure distances precisely. Suppose the mirror labeled 1 in the figure below is movable. If the laser light has a wavelength of 654.0 nm, how many fringes will pass across the detector if mirror 1 is moved just 1.960 (mm)? If you can easily detect the passage of just one fringe, how accurately can you measure the displacement of the mirror(nm)?arrow_forwardRequired information A laser has a wavelength of 546 nm. A grating and a lens are used to split the beam into three parallel beams spaced 1.85 cm apart. What is the maximal value of the slit spacing so that the grating produces three and only three beams? umarrow_forwardActivity: 7: What I Have Learned A. Direction: Solve the following problems. Show your complete solutions legibly and concisely in a separate sheet of paper. 2. A light source emits visible light of two wavelengths: A = 400 nm and ' = 500 nm. The source is used in a double-slit interference experiment in which L = 1.2 m and d = 0.030 mm. Find the separation between the third- order bright fringes.arrow_forward
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