Explanation Given data: Interference pattern is shown in Figure P17.52. Diffraction grating has 800 line mm . Interference pattern on a screen is 1.0 m . Formula used: Write the expression for angles of bright fringe. d sin θ m = m λ (1) Here, m is integer represents the fringe number, λ is the wavelength, d is the spacing between the two slits, and θ m is the bright fringe angle. Write the expression for position of bright fringes. y m = L tan θ m (2) Here, L is the distance, and y m is the position of bright fringes. Explanation: Find the value of d . d = 1 N Substitute 800 line mm for N , d = 1 800 line mm = 1 mm 800 line = 1.25 × 10 − 6 m Re-arrange equation (2) as follows. θ m = tan − 1 ( y m L ) (3) Modify equation (3) for first-order interference fringe. θ 1 = tan − 1 ( y 1 L ) Substitute 43.6 cm for y 1 and 1.0 m for L , θ 1 = tan − 1 ( 43.6 cm 1.0 m ) = tan − 1 ( 43.6 × 10 − 2 m 1.0 m ) = 23.557 ° Modify equation (1) as follows. λ = d sin θ m m (4) Substitute 1 for m , λ = d sin θ 1 1 = d sin θ 1 Substitute 1.25 × 10 − 6 m for d and 23.557 ° for θ 1 , λ = ( 1.25 × 10 − 6 m ) sin ( 23

MODIFIED MASTERING COLLEGE PHYSICS 18WK.

4th Edition

ISBN: 9780136782216

Author: Knight

Publisher: PEARSON

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Chapter 17, Problem 52GP

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To find: The wavelength of the light.

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Chapter 17 Solutions

MODIFIED MASTERING COLLEGE PHYSICS 18WK.

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. 3CQ Ch. 17 - The wavelength of a light wave is 700 nm in air;...Ch. 17 - Prob. 5CQ Ch. 17 - A double-slit interference experiment shows...Ch. 17 - In a double-slit interference experiment,...Ch. 17 - Prob. 8CQ Ch. 17 - Prob. 9CQ Ch. 17 - Prob. 10CQ

Ch. 17 - Prob. 11CQ Ch. 17 - Prob. 12CQ Ch. 17 - Prob. 14CQ Ch. 17 - Prob. 16CQ Ch. 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. 20CQ Ch. 17 - Prob. 21CQ Ch. 17 - Prob. 23MCQ Ch. 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. 29MCQ Ch. 17 - Prob. 30MCQ Ch. 17 - You want to estimate the diameter of a very small...Ch. 17 - Prob. 1P Ch. 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. 6P Ch. 17 - Prob. 7P Ch. 17 - Light from a sodium lamp (= 589 nm) illuminates...Ch. 17 - Two narrow slits are illuminated by light of...Ch. 17 - Prob. 10P Ch. 17 - A double-slit experiment is performed with light...Ch. 17 - Prob. 12P Ch. 17 - Two narrow slits are 0.12 mm apart. Light of...Ch. 17 - A diffraction grating with 750 slits/mm is...Ch. 17 - Prob. 16P Ch. 17 - A 1.0-cm-wide diffraction grating has 1000 slits....Ch. 17 - Prob. 18P Ch. 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. 28P Ch. 17 - A thin film of MgF2 (n = 1.38) coats a piece of...Ch. 17 - Prob. 30P Ch. 17 - A soap bubble is essentially a thin film of water...Ch. 17 - Prob. 32P Ch. 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. 36P Ch. 17 - The second minimum in the diffraction pattern of a...Ch. 17 - Prob. 38P Ch. 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. 42P Ch. 17 - Infrared light of wavelength 2.5 m illuminates a...Ch. 17 - Prob. 44P Ch. 17 - An advanced computer sends information to its...Ch. 17 - Prob. 46GP Ch. 17 - Prob. 47GP Ch. 17 - Prob. 48GP Ch. 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. 52GP Ch. 17 - Prob. 53GP Ch. 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. 61GP Ch. 17 - Prob. 62GP Ch. 17 - Prob. 63GP Ch. 17 - Prob. 64GP Ch. 17 - One day, after pulling down your window shade, you...Ch. 17 - Prob. 66GP Ch. 17 - Prob. 67GP Ch. 17 - In the laser range-finding experiments of Example...Ch. 17 - Prob. 69MSPP Ch. 17 - Prob. 70MSPP Ch. 17 - Prob. 71MSPP

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The wavelength of the light .

To find: The wavelength of the light.

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Chapter 17 Solutions