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An organ pipe, open at both ends, and another organ pipe, closed at one end, will resonate with each other if their lengths are in the ratio of

Correct answer: C. 2 : 1

  • A. 1 : 1
  • B. 1 : 4
  • C. 2 : 1
  • D. 1 : 2

Explanation

f1 = f2 v/2L1 = v/4L2 L1 : L2 = 2 : 1 The lengths of an organ pipe open at both ends and an organ pipe closed at one end will resonate with each other if their lengths are in a 2:1 ratio.

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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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