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PATH DIFFERENCE IN WAVE INTERFERENCE

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  1. 1. PATH DIFFERENCE IN WAVE INTERFERENCE
  2. 2. 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
  3. 3. 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.
  4. 4. 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).
  5. 5. Solution Use Pythagorean theorem to find the lengths of C^2 13.42-8.49=4.96 Wavelength = 4.96/2 = 2.48
  6. 6. 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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