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KVPY2011PhysicsWaves and Sound

At 23^ C , a pipe open at both ends resonates at a frequency of 450 hertz. At what frequency does the same pipe resonate on a hot day when the speed of sound is 4 percent higher than it would be at 23^ C ?

Options

  1. A446 ~Hz
  2. B454 ~Hz
  3. C468 ~Hz
  4. D459 ~Hz

Correct answer

C. 468 ~Hz

Step-by-step solution

f = v f v f ₁ f ₂ = v ₁ v ₂ 450 f ₂ = v ₁ 1.04 v ₁ f ₂=1.04 450=468 ~Hz

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