Light falls on double slits separated by 250 micrometers and the third-order minimum is observed at an angle of 0.25 degrees. What is the wavelength of light in nm? Path lem Construa Destruct Distance

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Chapter1: Units, Trigonometry. And Vectors
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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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Interference
I
1. A plane wave is incident
on the double slit.
Light falls on double slits
separated by 250 micrometers
and the third-order minimum is
observed at an angle of 0.25
degrees.
What is the wavelength of light in nm?
3. Constructive interference occurs
when r, and r, differ by a whole
number of wavelengths.
2. Waves spread out
behind each slit.
Top view of
the double slit
4. Destructive interference occurs
when r, and r, differ by a whole.
number of wavelengths plus
half a wavelength.
Front view
of screen
m-4
m=0
m=1
m=2
m=3
Interference
m=4
Constructive interference
Destructive interference
Central
maximum
Path length difference for waves from two slits to a common point on a screen
Constructive interference
m=3
m=2 integer m, starting
at the central
maximum.
Destructive interference
Distance from central maximum to the mth bright fringe
The bright fringes
are labeled by the
Al mà, for m=0, +1, +2, +3...
Al = (m+), for m = 0, 21, 22, 23...
Al = d sin 0
d sin emà, for m = 0, 11, 12, 13....
d sine (m+), for m = 0,1, +2, +3....
=
You = mi
Skill Use the
constructive/destructi
ve interference
equations to solve for
the wavelength of the
light.
Transcribed Image Text:Interference I 1. A plane wave is incident on the double slit. Light falls on double slits separated by 250 micrometers and the third-order minimum is observed at an angle of 0.25 degrees. What is the wavelength of light in nm? 3. Constructive interference occurs when r, and r, differ by a whole number of wavelengths. 2. Waves spread out behind each slit. Top view of the double slit 4. Destructive interference occurs when r, and r, differ by a whole. number of wavelengths plus half a wavelength. Front view of screen m-4 m=0 m=1 m=2 m=3 Interference m=4 Constructive interference Destructive interference Central maximum Path length difference for waves from two slits to a common point on a screen Constructive interference m=3 m=2 integer m, starting at the central maximum. Destructive interference Distance from central maximum to the mth bright fringe The bright fringes are labeled by the Al mà, for m=0, +1, +2, +3... Al = (m+), for m = 0, 21, 22, 23... Al = d sin 0 d sin emà, for m = 0, 11, 12, 13.... d sine (m+), for m = 0,1, +2, +3.... = You = mi Skill Use the constructive/destructi ve interference equations to solve for the wavelength of the light.
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