InterferenceI1. A plane wave is incidenton the double slit.Light falls on double slitsseparated by 250 micrometersand the third-order minimum isobserved at an angle of 0.25degrees.What is the wavelength of light in nm?3. Constructive interference occurswhen r, and r, differ by a wholenumber of wavelengths.2. Waves spread outbehind each slit.Top view ofthe double slit4. Destructive interference occurswhen r, and r, differ by a whole.number of wavelengths plushalf a wavelength.Front viewof screenm-4m=0m=1m=2m=3Interferencem=4Constructive interferenceDestructive interferenceCentralmaximumPath length difference for waves from two slits to a common point on a screenConstructive interferencem=3m=2 integer m, startingat the centralmaximum.Destructive interferenceDistance from central maximum to the mth bright fringeThe bright fringesare labeled by theAl mà, for m=0, +1, +2, +3...Al = (m+), for m = 0, 21, 22, 23...Al = d sin 0d sin emà, for m = 0, 11, 12, 13....d sine (m+), for m = 0,1, +2, +3....=You = miSkill Use theconstructive/destructive interferenceequations to solve forthe wavelength of thelight.

Given data: The distance between the slits uis d=250×10-6 m The angle is θ=0.25° The order of…

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

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

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter9: Optics

Section: Chapter Questions

Problem 11Q

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

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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