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Learning Object 8
Jason Dosanjh
Section 201 – Joss Ives
L2H – Blue
Light Interference
• Mechanical waves with the same frequency
will interfere constructively in phase and
destructively out of phase
• We need to consider wavelength and relative
phase for experiments and calculations
• One way to observe is using a Michelson
interferometer
Michelson Interferometer
• Splits a beam of light, sends the two parts on
different paths of different lengths, which
causes a phase difference, then recombines
them
• It can measure tiny shifts in distance or wave
speed
Problem #1
• An experiment is taking place using a Michelson
interferometer
• It is within a vacuum chamber and a light of
wavelength 500 nm
• The experimenter wanted to determine the
bright outputs at different moved distances
• Find the output if he moves the mirror by 250 nm
• Then find how many times this output is reached
if the distance is misread and accidently moved 2
mm instead of 2 μm
Hints
• Remember path length is doubled compared
to the distance the mirror moves
Solution Part 1
• Moving the mirror at 250 nm would mean
that the path length would move double to
this
• This would mean that the path length would
move another full 500 nm
• We can conclude that the output would be
the same as we began with
Solution Part 2a
• The actual value of 2 μm the mirror was
supposed to moved would mean the path
length change is 4 μm
• The accidental value of 2 mm the mirror was
actually moved would mean the path length
change is 4 mm
Solution Part 2b
• We can find how many times the output of
500 nm was reached by dividing the change in
path length by this value
• Original: 4*10-6/500*10-9 = 8
• Accidental: 4*10-3/500*10-9 = 8000
• 8000/8 = 1000 times off
• This slight mistake caused the experimenter to
make a huge miscalculation

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Learning Object 8 - Jason Dosanjh

  • 1. Learning Object 8 Jason Dosanjh Section 201 – Joss Ives L2H – Blue
  • 2. Light Interference • Mechanical waves with the same frequency will interfere constructively in phase and destructively out of phase • We need to consider wavelength and relative phase for experiments and calculations • One way to observe is using a Michelson interferometer
  • 3. Michelson Interferometer • Splits a beam of light, sends the two parts on different paths of different lengths, which causes a phase difference, then recombines them • It can measure tiny shifts in distance or wave speed
  • 4. Problem #1 • An experiment is taking place using a Michelson interferometer • It is within a vacuum chamber and a light of wavelength 500 nm • The experimenter wanted to determine the bright outputs at different moved distances • Find the output if he moves the mirror by 250 nm • Then find how many times this output is reached if the distance is misread and accidently moved 2 mm instead of 2 μm
  • 5. Hints • Remember path length is doubled compared to the distance the mirror moves
  • 6. Solution Part 1 • Moving the mirror at 250 nm would mean that the path length would move double to this • This would mean that the path length would move another full 500 nm • We can conclude that the output would be the same as we began with
  • 7. Solution Part 2a • The actual value of 2 μm the mirror was supposed to moved would mean the path length change is 4 μm • The accidental value of 2 mm the mirror was actually moved would mean the path length change is 4 mm
  • 8. Solution Part 2b • We can find how many times the output of 500 nm was reached by dividing the change in path length by this value • Original: 4*10-6/500*10-9 = 8 • Accidental: 4*10-3/500*10-9 = 8000 • 8000/8 = 1000 times off • This slight mistake caused the experimenter to make a huge miscalculation