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? Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Seree kA = 246 6 = Destructive interference: 6- (2k +1) Coordinates of bright and dark fringes on the screen: k: Vuin - (*++): 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, d'is 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: Fiks 21V1 - sin? a - (2k + 1); Destructive interference: 21Vn? – 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 = t(2k + 1)5 Destructive: a sine = tkA a is the slit width, k- 0, 1, 2,3 ... is minimum or maximum order number, A is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin p = tkA d = N is period of diffraction grating and Nis number of lines per unit length, o is angle on corresponding minimum or maximum, k - 0, 1, 2.. is minimum or maximum order number, wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution Omin: is 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? Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Seree kA = 246 6 = Destructive interference: 6- (2k +1) Coordinates of bright and dark fringes on the screen: k: Vuin - (*++): 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, d'is 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: Fiks 21V1 - sin? a - (2k + 1); Destructive interference: 21Vn? – 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 = t(2k + 1)5 Destructive: a sine = tkA a is the slit width, k- 0, 1, 2,3 ... is minimum or maximum order number, A is wavelength of light (m), e is the angle on corresponding minimum or maximum. 4. Diffraction grating: d sin p = tkA d = N is period of diffraction grating and Nis number of lines per unit length, o is angle on corresponding minimum or maximum, k - 0, 1, 2.. is minimum or maximum order number, wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution Omin: is 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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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?
Transcribed Image Text:Wave optics. Interference. Diffraction. Polarization
1. Young's Double Slit Experiment
Constructive interference:
Seree
kA = 246
6 =
Destructive interference:
6- (2k +1)
Coordinates of bright and dark fringes on the screen:
k: Vuin -
(*++): 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, d'is 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:
Fiks
21V1 - sin? a - (2k + 1);
Destructive interference:
21Vn? – 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 = t(2k + 1)5
Destructive:
a sine = tkA
a is the slit width, k- 0, 1, 2,3 ... is minimum or maximum order
number, A is wavelength of light (m), e is the angle on
corresponding minimum or maximum.
4. Diffraction grating:
d sin p = tkA
d = N is period of diffraction grating and Nis number of lines per unit length, o is angle on
corresponding minimum or maximum, k - 0, 1, 2.. is minimum or maximum order number,
wavelength of light (m).
5. Resolution of the optical instruments
Limiting angle of resolution Omin:
is
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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