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Standing Waves: Finding the number of antinodes

  1. Apr 17, 2013 #1
    1. The problem statement, all variables and given/known data

    A string with a fixed frequency vibrator at one end forms a standing wave with 4 antinodes when under tension T1. When the tension is slowly increased, the standing wave disappears until tension T2 is reached with no resonances occurring between the two tensions. How many antinodes are there in this new standing wave?

    2. Relevant equations



    3. The attempt at a solution

    There would be 8 antinodes, right? Because as you jump up to the next frequency, the number of antinodes doubles.

    Actually, no, it would be 5 antinodes, right?
     
    Last edited: Apr 17, 2013
  2. jcsd
  3. Apr 17, 2013 #2
    I believe it would be 5 antinodes. Going from a given resonant tension to the next increases the number of antinodes by one.
     
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