Asked in PMC Practice Test 18 (2021) 2021Moderate

A stationary wave is formed in a pipe which is open at both ends. If length of pipe is 10 cm, then what is the maximum possible wavelength of the wave?

Correct answer: A. 20 cm

  • A. 20 cm
  • B. 5 cm
  • C. 10 cm
  • D. 30 cm

Explanation

A pipe whose end opposite to the blowing end is open is called an open organ pipe. Since the pipe is open at both ends then the length 'L' of the air column is related with the wavelength as; L = λ /2 λ = 2L As length is 10 cm, then λ = 2(10cm) λ = 20 cm This is numerical so it can only have one answer so option A is correct

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About Organ Pipes

Organ pipes produce standing sound waves in air columns, with resonance determined by whether each end is open or closed. The topic covers nodes, antinodes, fundamental frequency, harmonics, wavelength and end correction. Open pipes support all harmonics, while closed pipes support only odd harmonics under the ideal model.

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