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PATH DIFFERENCE IN
WAVE INTERFERENCE
It may be easier to visualize it this way…
• Your feet are the sources of the
wave
• When a crest and a trough meet
the water is level
• This animation below gives the Idea behind
path difference
• The waves from the two different sources
have a different distance they must travel to
get to point A.
Question
A duet is performing at a talent show. They will be evenly spread out
on the stage 18 meters apart. The judge originally is 6 meters away
from them out in the audience right in between the performers.
During their performance he has to take a phone call and walks
towards the door as he realizes that his battery died. He is now 3
meters away from his judging desk but still 6 meters away from the
performers; it is found to be a point of minimum amplitude. What is
the wavelength of the waves coming from the singers (assume their
talent is to hold the same frequency and amplitude for a very long
time).
Solution
• Use Pythagorean theorem to find the lengths of C^2
• 13.42-8.49=4.96
• Wavelength = 4.96/2 = 2.48
images
• http://method-behind-the-music.com/mechanics/physics/
• http://www.daviddarling.info/encyclopedia/I/interference.html
• http://www.featurepics.com/online/Female-Feet-Pool-Water-
1219054.aspx
• http://www.antonine-
education.co.uk/Pages/Physics_2/Waves/WAV_07/Waves_7.htm

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Path difference

  • 1. PATH DIFFERENCE IN WAVE INTERFERENCE
  • 2.
  • 3. It may be easier to visualize it this way… • Your feet are the sources of the wave • When a crest and a trough meet the water is level
  • 4. • This animation below gives the Idea behind path difference • The waves from the two different sources have a different distance they must travel to get to point A.
  • 5. Question A duet is performing at a talent show. They will be evenly spread out on the stage 18 meters apart. The judge originally is 6 meters away from them out in the audience right in between the performers. During their performance he has to take a phone call and walks towards the door as he realizes that his battery died. He is now 3 meters away from his judging desk but still 6 meters away from the performers; it is found to be a point of minimum amplitude. What is the wavelength of the waves coming from the singers (assume their talent is to hold the same frequency and amplitude for a very long time).
  • 6. Solution • Use Pythagorean theorem to find the lengths of C^2 • 13.42-8.49=4.96 • Wavelength = 4.96/2 = 2.48
  • 7. images • http://method-behind-the-music.com/mechanics/physics/ • http://www.daviddarling.info/encyclopedia/I/interference.html • http://www.featurepics.com/online/Female-Feet-Pool-Water- 1219054.aspx • http://www.antonine- education.co.uk/Pages/Physics_2/Waves/WAV_07/Waves_7.htm

Editor's Notes

  1. http://www.daviddarling.info/encyclopedia/I/interference.html
  2. http://method-behind-the-music.com/mechanics/physics/