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PRACTICE / Wave power and intensity

Trade amplitude against frequency

A sinusoidal travelling wave on a stretched string is replaced by one with twice the displacement amplitude and half the frequency.

Find the ratio of new average power to old average power.

Organize the givens & assumptions
  • A₂/A₁ = 2
  • f₂/f₁ = 1/2

Same string, tension and wave speed; small-amplitude linear waves and no reflection.

  1. A44
  2. B22
  3. C1/41/4
  4. D11

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