College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Why are the two-source interference equations not valid for light from an incandescent bulb that shines onto a screen with a single slit, and then the light shines onto a screen with two slits in it and the light from the two slits finally shines onto a nearby screen?
  1. not monochromatic sources
  2. incoherent sources
  3. observed from a distance similar to or smaller than the separation between the sources
Why are the two-source interference equations not valid for light from an incandescent bulb that shines onto a screen with a single slit, and then the light shines onto a screen with two slits in it and the light from the two slits finally shines onto a nearby screen?
  1. not monochromatic sources
  2. incoherent sources
  3. observed from a distance similar to or smaller than the separation between the sources
1 only
2 only
3 only
1 and 2 only
1 and 3 only
2 and 3 only

all three

 

Learning Goal:
To understand the assumptions made by the standard two-source
interference equations and to be able to use them in a standard
problem.
For solving two-source interference problems, there exists a
standard set of equations that give the conditions for constructive
and destructive interference. These equations are usually derived in
the context of Young's double slit experiment, though they may
actually be applied to a large number of other situations. The
underlying assumptions upon which these equations are based are
that two sources of coherent, nearly monochromatic light are
available, and that their interference pattern is observed at a
distance very large in comparison to the separation of the sources.
Monochromatic means that the wavelengths of the waves, which
determine color for visible light, are nearly identical. Coherent
means that the waves are in phase when they leave the two
sources.
In Young's experiment, these two sources corresponded to the two
slits (hence such phenomena are often called two-slit interference).
Under these assumptions, the conditions for constructive and
destructive interference are as follows:
for constructive interference
d sin 0 = m) (m = 0, +1, +2,...).
and for destructive interference
d sin 0 = (m + )A (m = 0, ±1, ±2, ...).
where d is the separation between the two sources, A is the
wavelength of the light, m is an arbitrary integer, and 0 is the angle
Figure
< 1 of 1 >
S2
d sin 0
r2
To screen
expand button
Transcribed Image Text:Learning Goal: To understand the assumptions made by the standard two-source interference equations and to be able to use them in a standard problem. For solving two-source interference problems, there exists a standard set of equations that give the conditions for constructive and destructive interference. These equations are usually derived in the context of Young's double slit experiment, though they may actually be applied to a large number of other situations. The underlying assumptions upon which these equations are based are that two sources of coherent, nearly monochromatic light are available, and that their interference pattern is observed at a distance very large in comparison to the separation of the sources. Monochromatic means that the wavelengths of the waves, which determine color for visible light, are nearly identical. Coherent means that the waves are in phase when they leave the two sources. In Young's experiment, these two sources corresponded to the two slits (hence such phenomena are often called two-slit interference). Under these assumptions, the conditions for constructive and destructive interference are as follows: for constructive interference d sin 0 = m) (m = 0, +1, +2,...). and for destructive interference d sin 0 = (m + )A (m = 0, ±1, ±2, ...). where d is the separation between the two sources, A is the wavelength of the light, m is an arbitrary integer, and 0 is the angle Figure < 1 of 1 > S2 d sin 0 r2 To screen
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