OPTICS Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Screes 8 = kA = 2k- Destructive interference: 8 = (2k + 1); Coordinates of bright and dark fringes on the screen: (-): Ymax =+ -k: Ymin =±- 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: Constructive interference: Air Film 21 Vn? – sin? a = (2k + 1) 14 Destructive interference: Air 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, A is wavelength of light (m), / is thickness of the film (m). 3. Single-Slit Diffraction Constructive: a sine = +(2k + 1) 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 siny = tkd 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, à is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution 0min: 1.222 emin = Minimum separation distance d: d = L8min 2 is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m). 3. What are the three smallest thicknesses of a soap bubble that produce constructive interference for red light with a wavelength of 650 nm? The index of refraction of soap is taken to be the same as that of water n = 1.33. Suppose that angle of incidence 180°.
OPTICS Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment Constructive interference: Screes 8 = kA = 2k- Destructive interference: 8 = (2k + 1); Coordinates of bright and dark fringes on the screen: (-): Ymax =+ -k: Ymin =±- 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: Constructive interference: Air Film 21 Vn? – sin? a = (2k + 1) 14 Destructive interference: Air 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, A is wavelength of light (m), / is thickness of the film (m). 3. Single-Slit Diffraction Constructive: a sine = +(2k + 1) 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 siny = tkd 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, à is wavelength of light (m). 5. Resolution of the optical instruments Limiting angle of resolution 0min: 1.222 emin = Minimum separation distance d: d = L8min 2 is wavelength of light (m), D is aperture diameter, for human eye pupil diameter (m). 3. What are the three smallest thicknesses of a soap bubble that produce constructive interference for red light with a wavelength of 650 nm? The index of refraction of soap is taken to be the same as that of water n = 1.33. Suppose that angle of incidence 180°.
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Transcribed Image Text:OPTICS
Wave optics. Interference. Diffraction. Polarization
1. Young's Double Slit Experiment
Constructive interference:
Screes
8 = kA = 2k-
Destructive interference:
8 = (2k + 1);
Coordinates of bright and dark fringes on the screen:
(-):
Ymax =+
-k: Ymin =±-
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:
Constructive interference:
Air
Film
21 Vn? – sin? a = (2k + 1)
14
Destructive interference:
Air
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, A is wavelength of light (m), / is thickness of the film (m).
3. Single-Slit Diffraction
Constructive:
a sine = +(2k + 1)
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 siny = tkd
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, à is
wavelength of light (m).
5. Resolution of the optical instruments
Limiting angle of resolution 0min:
1.222
emin =
Minimum separation distance d:
d = L8min
2 is wavelength of light (m), D is aperture
diameter, for human eye pupil diameter (m).
Transcribed Image Text:3. What are the three smallest thicknesses of a soap bubble that produce constructive
interference for red light with a wavelength of 650 nm? The index of refraction of soap is taken to
be the same as that of water n = 1.33. Suppose that angle of incidence 180°.
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