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1. This problem focusses on understanding Young's double slit experiment with the addition of a
material with different index of refraction than air, in this case glass, in place of one of the slits.
Suppose light of wavelength 600 nm passes through two slits separated by 0.20 mm and is observed
on a screen 1.0 m behind the slits. The location of the central maximum is then marked on the
screen and labeled y = 0.
Draw a diagram showing the set-up of the problem and label any relevant information
a.
on your diagram from the problem statement.
b.
Without the glass, at what distance, on either side of the y = 0, are the m = 1 bright
fringes located?
Suppose a very thin piece of glass is then placed in one slit. Because light travels slower
c.
in glass than in air, the wave passing through the glass is delayed by 5.0 x 10-16 s in comparison
to the wave going through the slit without glass. What fraction of the period of the light wave is this
delay?
d.
With the glass in place, what is the phase difference between the two waves as they
leave the slits?
The glass causes the interference fringe pattern on the screen to shift sideways. Which
e.
way does the central maximum move (toward or away from the slit with the glass) and by how far?
Explain your reasoning and asses the validity of your result.
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Transcribed Image Text:1. This problem focusses on understanding Young's double slit experiment with the addition of a material with different index of refraction than air, in this case glass, in place of one of the slits. Suppose light of wavelength 600 nm passes through two slits separated by 0.20 mm and is observed on a screen 1.0 m behind the slits. The location of the central maximum is then marked on the screen and labeled y = 0. Draw a diagram showing the set-up of the problem and label any relevant information a. on your diagram from the problem statement. b. Without the glass, at what distance, on either side of the y = 0, are the m = 1 bright fringes located? Suppose a very thin piece of glass is then placed in one slit. Because light travels slower c. in glass than in air, the wave passing through the glass is delayed by 5.0 x 10-16 s in comparison to the wave going through the slit without glass. What fraction of the period of the light wave is this delay? d. With the glass in place, what is the phase difference between the two waves as they leave the slits? The glass causes the interference fringe pattern on the screen to shift sideways. Which e. way does the central maximum move (toward or away from the slit with the glass) and by how far? Explain your reasoning and asses the validity of your result.
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