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2. Suppose you pass light from a He-Ne laser through two slits separated by 0.0100 mm and find that the third bright line on a screen is formed at an angle of 10.95° relative to the incident beam. What is the wavelength of the light? OPTICS Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Sereen 6 = kA = 2k Destructive interference: 8 = (2k + 1); Coordinates of bright and dark fringes on the screen: IA (*+): av= -k: Vanim Mmax =+ Here 8 is path difference (m), a is wavelength of light (m), / is distance from the slits to the screen (m), k = 0, 1, 2, 3 ... is minimum or maximum order number, d is distance between the slits (m), Ymax are coordinates of bright fringes on the screen (m), ymin are coordinates of dark fringes on the screen (m), Ay is width of the fridges (m). 2. Interference in thin films: Air Constructive interference: 21Vn? – sin? a =- = (2k +1) в Destructive interference: Air 21Vn2 – sin² a = kA Here n is refractive index of the film, a is angle of light incidence, k= 0, 1, 2, 3 ... is minimum or maximum order number, å is wavelength of light (m), / is thickness of the film (m). 3. Single-Slit Diffraction Constructive: a sine = +(2k + 1)5 Destructive: a sine = tkd a is the slit width, k = 0, 1, 2, 3 ... is minimum or maximum order number, À is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin g = ±kA d = /N is period of diffraction grating and N is number of lines per unit length, o is angle on corresponding minimum or maximum, k = 0, 1, 2... is minimum or maximum order number, å is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution emin: 1.222 e, min Minimum separation distance d: d = L0min A is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m).

2. Suppose you pass light from a He-Ne laser through two slits separated by 0.0100 mm and find that the third bright line on a screen is formed at an angle of 10.95° relative to the incident beam. What is the wavelength of the light? OPTICS Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Sereen 6 = kA = 2k Destructive interference: 8 = (2k + 1); Coordinates of bright and dark fringes on the screen: IA (*+): av= -k: Vanim Mmax =+ Here 8 is path difference (m), a is wavelength of light (m), / is distance from the slits to the screen (m), k = 0, 1, 2, 3 ... is minimum or maximum order number, d is distance between the slits (m), Ymax are coordinates of bright fringes on the screen (m), ymin are coordinates of dark fringes on the screen (m), Ay is width of the fridges (m). 2. Interference in thin films: Air Constructive interference: 21Vn? – sin? a =- = (2k +1) в Destructive interference: Air 21Vn2 – sin² a = kA Here n is refractive index of the film, a is angle of light incidence, k= 0, 1, 2, 3 ... is minimum or maximum order number, å is wavelength of light (m), / is thickness of the film (m). 3. Single-Slit Diffraction Constructive: a sine = +(2k + 1)5 Destructive: a sine = tkd a is the slit width, k = 0, 1, 2, 3 ... is minimum or maximum order number, À is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin g = ±kA d = /N is period of diffraction grating and N is number of lines per unit length, o is angle on corresponding minimum or maximum, k = 0, 1, 2... is minimum or maximum order number, å is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution emin: 1.222 e, min Minimum separation distance d: d = L0min A is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m).

College Physics
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter27: Wave Optics
Section: Chapter Questions
Problem 64PE: You are told not to shoot until you see the whites of their eyes. If the eyes are separated by 6.5...
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2. Suppose you pass light from a He-Ne laser through two slits separated by 0.0100 mm and find that the third bright line on a screen is formed at an angle of 10.95° relative to the incident beam. What is the wavelength of the light?
Transcribed Image Text:2. Suppose you pass light from a He-Ne laser through two slits separated by 0.0100 mm and find that the third bright line on a screen is formed at an angle of 10.95° relative to the incident beam. What is the wavelength of the light?
OPTICS Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Sereen 6 = kA = 2k Destructive interference: 8 = (2k + 1); Coordinates of bright and dark fringes on the screen: IA (*+): av= -k: Vanim Mmax =+ Here 8 is path difference (m), a is wavelength of light (m), / is distance from the slits to the screen (m), k = 0, 1, 2, 3 ... is minimum or maximum order number, d is distance between the slits (m), Ymax are coordinates of bright fringes on the screen (m), ymin are coordinates of dark fringes on the screen (m), Ay is width of the fridges (m). 2. Interference in thin films: Air Constructive interference: 21Vn? – sin? a =- = (2k +1) в Destructive interference: Air 21Vn2 – sin² a = kA Here n is refractive index of the film, a is angle of light incidence, k= 0, 1, 2, 3 ... is minimum or maximum order number, å is wavelength of light (m), / is thickness of the film (m). 3. Single-Slit Diffraction Constructive: a sine = +(2k + 1)5 Destructive: a sine = tkd a is the slit width, k = 0, 1, 2, 3 ... is minimum or maximum order number, À is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin g = ±kA d = /N is period of diffraction grating and N is number of lines per unit length, o is angle on corresponding minimum or maximum, k = 0, 1, 2... is minimum or maximum order number, å is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution emin: 1.222 e, min Minimum separation distance d: d = L0min A is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m).
Transcribed Image Text:OPTICS Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Sereen 6 = kA = 2k Destructive interference: 8 = (2k + 1); Coordinates of bright and dark fringes on the screen: IA (*+): av= -k: Vanim Mmax =+ Here 8 is path difference (m), a is wavelength of light (m), / is distance from the slits to the screen (m), k = 0, 1, 2, 3 ... is minimum or maximum order number, d is distance between the slits (m), Ymax are coordinates of bright fringes on the screen (m), ymin are coordinates of dark fringes on the screen (m), Ay is width of the fridges (m). 2. Interference in thin films: Air Constructive interference: 21Vn? – sin? a =- = (2k +1) в Destructive interference: Air 21Vn2 – sin² a = kA Here n is refractive index of the film, a is angle of light incidence, k= 0, 1, 2, 3 ... is minimum or maximum order number, å is wavelength of light (m), / is thickness of the film (m). 3. Single-Slit Diffraction Constructive: a sine = +(2k + 1)5 Destructive: a sine = tkd a is the slit width, k = 0, 1, 2, 3 ... is minimum or maximum order number, À is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin g = ±kA d = /N is period of diffraction grating and N is number of lines per unit length, o is angle on corresponding minimum or maximum, k = 0, 1, 2... is minimum or maximum order number, å is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution emin: 1.222 e, min Minimum separation distance d: d = L0min A is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m).
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