College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 17, Problem 17P
A 1.0-cm-wide diffraction grating has 1000 slits. It is illuminated by light of wavelength 550 nm. What are the angles of the first two diffraction orders?
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A 1.0-cm-wide diffraction grating has 1000 slits. It is illuminated by light of wavelength 550 nm. What are the angles of the first two diffraction orders?
A laser beam with wavelength λ = 675 nm hits a grating with n = 4750 grooves per centimeter.
A. Calculate the grating spacing, d, in centimeters.
B. Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ.
C. Calculate the numerical value of θ2 in degrees.
A diffraction grating with 750 slits/mm is illuminated by light that gives a first-order diffraction angle of 34.0°. What is the wavelength of the light?
Chapter 17 Solutions
College Physics: A Strategic Approach (4th Edition)
Ch. 17 - The frequency of a light wave in air is 5.3 1014...Ch. 17 - Rank in order the following according to their...Ch. 17 - Prob. 3CQCh. 17 - The wavelength of a light wave is 700 nm in air;...Ch. 17 - Prob. 5CQCh. 17 - A double-slit interference experiment shows...Ch. 17 - In a double-slit interference experiment,...Ch. 17 - Prob. 8CQCh. 17 - Prob. 9CQCh. 17 - Prob. 10CQ
Ch. 17 - Prob. 11CQCh. 17 - Prob. 12CQCh. 17 - Prob. 14CQCh. 17 - Prob. 16CQCh. 17 - An oil film on top of water has one patch that is...Ch. 17 - Should the antireflection coating of a microscope...Ch. 17 - Prob. 20CQCh. 17 - Prob. 21CQCh. 17 - Prob. 23MCQCh. 17 - The frequency of a light wave in air is 4.6 1014...Ch. 17 - Light passes through a diffraction grating with a...Ch. 17 - Blue light of wavelength 450 nm passes through a...Ch. 17 - Yellow light of wavelength 590 nm passes through a...Ch. 17 - Light passes through a 10-m-wide slit and is...Ch. 17 - Prob. 29MCQCh. 17 - Prob. 30MCQCh. 17 - You want to estimate the diameter of a very small...Ch. 17 - Prob. 1PCh. 17 - a. How long (in ns) does it take light to travel...Ch. 17 - A 5.0-cm-thick layer of oil (n = 1.46) is...Ch. 17 - A light wave has a 670 nm wavelength in air. Its...Ch. 17 - A helium-neon laser beam has a wavelength in air...Ch. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Light from a sodium lamp (= 589 nm) illuminates...Ch. 17 - Two narrow slits are illuminated by light of...Ch. 17 - Prob. 10PCh. 17 - A double-slit experiment is performed with light...Ch. 17 - Prob. 12PCh. 17 - Two narrow slits are 0.12 mm apart. Light of...Ch. 17 - A diffraction grating with 750 slits/mm is...Ch. 17 - Prob. 16PCh. 17 - A 1.0-cm-wide diffraction grating has 1000 slits....Ch. 17 - Prob. 18PCh. 17 - The human eye can readily detect wavelengths from...Ch. 17 - A diffraction grating with 600 lines/mm is...Ch. 17 - A 500 line/mm diffraction grating is illuminated...Ch. 17 - What is the thinnest film of MgF2 (n = 1.38) on...Ch. 17 - A very thin oil film (n = 1.25) floats on water (n...Ch. 17 - Antireflection coatings can be used on the inner...Ch. 17 - Solar cells are given antireflection coatings to...Ch. 17 - Prob. 28PCh. 17 - A thin film of MgF2 (n = 1.38) coats a piece of...Ch. 17 - Prob. 30PCh. 17 - A soap bubble is essentially a thin film of water...Ch. 17 - Prob. 32PCh. 17 - A helium-neon laser (= 633 nm) illuminates a...Ch. 17 - For a demonstration, a professor uses a razor...Ch. 17 - A 0.50-mm-wide slit is illuminated by light of...Ch. 17 - Prob. 36PCh. 17 - The second minimum in the diffraction pattern of a...Ch. 17 - Prob. 38PCh. 17 - A 0.50-mm-diameter hole is illuminated by light of...Ch. 17 - Light from a helium-neon laser (= 633 nm) passes...Ch. 17 - You want to photograph a circular diffraction...Ch. 17 - Prob. 42PCh. 17 - Infrared light of wavelength 2.5 m illuminates a...Ch. 17 - Prob. 44PCh. 17 - An advanced computer sends information to its...Ch. 17 - Prob. 46GPCh. 17 - Prob. 47GPCh. 17 - Prob. 48GPCh. 17 - The two most prominent wavelengths in the light...Ch. 17 - White light (400-700 nm) is incident on a 600...Ch. 17 - A miniature spectrometer used for chemical...Ch. 17 - Prob. 52GPCh. 17 - Prob. 53GPCh. 17 - The shiny surface of a CD is imprinted with...Ch. 17 - The wings of some beetles have closely spaced...Ch. 17 - Light emitted by element X passes through a...Ch. 17 - Light of a single wavelength is incident on a...Ch. 17 - A sheet of glass is coated with a 500-nm-thick...Ch. 17 - A laboratory dish, 20 cm in diameter, is half...Ch. 17 - You need to use your cell phone, which broadcasts...Ch. 17 - Prob. 61GPCh. 17 - Prob. 62GPCh. 17 - Prob. 63GPCh. 17 - Prob. 64GPCh. 17 - One day, after pulling down your window shade, you...Ch. 17 - Prob. 66GPCh. 17 - Prob. 67GPCh. 17 - In the laser range-finding experiments of Example...Ch. 17 - Prob. 69MSPPCh. 17 - Prob. 70MSPPCh. 17 - Prob. 71MSPP
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- A very thin sheet of plastic with refraction index n₁ = 1.6 covers one slit of a double-slit apparatus illuminated by a light source that emmits EM waves with a wavelength of 640 nm. The center point on the screen, instead of being a maximum, is dark. What is the (minimum) thickness of the plastic? oblem 031arrow_forwardTwo point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used? b. If violet light ( λλ = 420 nmnm ) is used?arrow_forwardA diffraction grating 1.00 cm wide has 10 000 parallel slits. Monochromatic light that is incident normally is diffracted through 30° in the first order.What is the wavelength of the light?arrow_forward
- Problem 2. A) A Michelson interferometer uses light of wavelength 500 nm. The irradiance of the beam exiting the laser is IL. What are the possible differences in the lengths of the arms of the interferometer when the irradiance at the detector is IL/3? B) Young's Double slit experiment is performed with HeNe laser wavelength 632.8 nm. The screen is 2 m from the slits and the slit separation is 0.2 mm. Find the distance of the 3th bright fringe from the center of the interference pattern on the screen (call the central bright fringe the "Oth" fringe).arrow_forwardA diffraction grating has 1570 lines/cm. What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm? Om=3 Om = 2 Om = 9 Om = 5 Om=4arrow_forwardA diffraction grating has 2393 lines/cm. What is the angle between the first-order maxima for red light (A = 672 nm) and blue light (A = 403 nm)?arrow_forward
- You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cmarrow_forwardA thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 µm thick. When it is inserted in the light path along one arm of an interferometer, how many fringe shifts occur in the pattern? Assume the wavelength (in a vac- uum) of the light used is 600 nm. Hint: The wavelength will change within the material.arrow_forwardThe width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600. nm, and the screen is 1.9 m from the slit. (a.) What is the width of the slit in microns? (D= ?) (b.) What is the ratio of the intensity at 4.2mm from the center of the pattern to the intensity at the center of the pattern? (I/I0= ?)arrow_forward
- A. Find the angle (in degrees) of the second diffraction minimum for 750 nm light falling on a slit of width 28.0 µm. B.What slit width (in µm) would place this minimum at 80.0°?arrow_forwardThe figure shows two single-slit diffraction patterns. The wavelength of light used and the distance between the slit Pattern A and the viewing screen are the same in both cases. Which comparison is true about the width of the slits, wA and wB? WB O WA = Pattern B 4 O WA > WB O WA = WB WB WA = O WA < WBarrow_forwardA. An x-ray beam with wavelength 0.130 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 62.0∘. What is the spacing d between the planes of the crystal? Express your answer in nanometers to three significant figures. B.Find the angle θ2 at which you will find a second maximum. Express your answer in degrees to three significant figures.arrow_forward
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