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Post-UTME Physics 2016 Objective — Question 6

Question 6 of 20 from the Post-UTME Screening (Post-UTME) Physics 2016 Objective paper, with the correct answer and a full explanation.

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Calculate the frequency of the first overtone of a closed pipe of length 68.0cm if the velocity of sound in air is 340.0 m/s.

  • A. 667Hz
  • B. 375HzCorrect
  • C. 400Hz
  • D. 520Hz

Explanation

A closed pipe supports only odd harmonics. The fundamental f1 = v/4L = 340/(4x0.68) = 125Hz. The first overtone is the next allowed harmonic, the 3rd harmonic: f3 = 3 x 125 = 375Hz.

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