A string of length and mass is fixed at both ends. Its third harmonic resonates with the fundamental of a closed organ pipe of length (speed of sound ). The tension in the string is

Answer and explanation

Correct answer: B.

  1. Step 1: Determine the fundamental frequency of the closed organ pipe: .
  2. Step 2: The third harmonic of a fixed string of length is . Equating to : .
  3. Step 3: Calculate the string's linear mass density: .
  4. Step 4: Solve for string tension using : .
Answer
.
Why not the others: treats the pipe as open at both ends ().

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