Moderate

When a tuning fork is in resonance with two organ pipes, P1 which is closed at one end and vibrating in its first harmonic, and P2 which is open at both ends and vibrating in its third harmonic, what is the ratio of the length of P1 to that of P2?

Correct answer: C. 1/6

  • A. 8/3
  • B. 3/8
  • C. 1/6
  • D. 1/3

Explanation

Following is the solution to this question:

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About Waves

Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.

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