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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? 1. Young's Double Slit Experiment Constructive interference: , n, Seree 6 = kA = 2k Destructive interference: 6- (2k + 1 Coordinates of bright and dark fringes on the screen: IA -k: Vain Ay Here ő 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, dis distance between the slits (m), Ymaz 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: Constructive interference: Fik 21Vn - sin? a - (2k + 1)5 Destructive interference: 21 Vn2 - sin 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 = 1(2k + 1) Destructive: a sine = tkd a is the slit width, k- 0, 1, 2,3 ... is minimum or maximum arder number, A is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin o = ±kA d = N is period of diffraction grating and N is mumber of lines per unit length, o is angle on corresponding minimum or maximum, k - 0, 1, 2... is minimum or maximum order number, A is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution Omin: 1.22A Minimum separation distance d: d = LOmin 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? 1. Young's Double Slit Experiment Constructive interference: , n, Seree 6 = kA = 2k Destructive interference: 6- (2k + 1 Coordinates of bright and dark fringes on the screen: IA -k: Vain Ay Here ő 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, dis distance between the slits (m), Ymaz 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: Constructive interference: Fik 21Vn - sin? a - (2k + 1)5 Destructive interference: 21 Vn2 - sin 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 = 1(2k + 1) Destructive: a sine = tkd a is the slit width, k- 0, 1, 2,3 ... is minimum or maximum arder number, A is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin o = ±kA d = N is period of diffraction grating and N is mumber of lines per unit length, o is angle on corresponding minimum or maximum, k - 0, 1, 2... is minimum or maximum order number, A is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution Omin: 1.22A Minimum separation distance d: d = LOmin A is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m).

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?
1. Young's Double Slit Experiment Constructive interference: , n, Seree 6 = kA = 2k Destructive interference: 6- (2k + 1 Coordinates of bright and dark fringes on the screen: IA -k: Vain Ay Here ő 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, dis distance between the slits (m), Ymaz 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: Constructive interference: Fik 21Vn - sin? a - (2k + 1)5 Destructive interference: 21 Vn2 - sin 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 = 1(2k + 1) Destructive: a sine = tkd a is the slit width, k- 0, 1, 2,3 ... is minimum or maximum arder number, A is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin o = ±kA d = N is period of diffraction grating and N is mumber of lines per unit length, o is angle on corresponding minimum or maximum, k - 0, 1, 2... is minimum or maximum order number, A is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution Omin: 1.22A Minimum separation distance d: d = LOmin A is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m).
Transcribed Image Text:1. Young's Double Slit Experiment Constructive interference: , n, Seree 6 = kA = 2k Destructive interference: 6- (2k + 1 Coordinates of bright and dark fringes on the screen: IA -k: Vain Ay Here ő 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, dis distance between the slits (m), Ymaz 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: Constructive interference: Fik 21Vn - sin? a - (2k + 1)5 Destructive interference: 21 Vn2 - sin 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 = 1(2k + 1) Destructive: a sine = tkd a is the slit width, k- 0, 1, 2,3 ... is minimum or maximum arder number, A is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin o = ±kA d = N is period of diffraction grating and N is mumber of lines per unit length, o is angle on corresponding minimum or maximum, k - 0, 1, 2... is minimum or maximum order number, A is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution Omin: 1.22A Minimum separation distance d: d = LOmin A is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m).
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