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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

A vibrating organ pipe has a fundamental frequency equal to 200 Hz .

Options

  1. AThe first overtone is exactly 400 Hz .
  2. BThe first overtone could be 400 Hz .
  3. CA frequency of 600 Hz is an overtone.
  4. DThe first overtone could be 600 Hz .

Correct answer

D. The first overtone could be 600 Hz .

Step-by-step solution

The organ pipe can be open at both ends or closed at one end. For an open organ pipe, the frequencies of harmonics are given by f = n f₀ , where n = 1, 2, 3, The fundamental frequency is f₀ = 200 Hz . The frequencies are 200 Hz , 400 Hz , 600 Hz , The first overtone is 400 Hz and the second overtone is 600 Hz . For a closed organ pipe, the frequencies of harmonics are given by f = (2n-1) f₀ , where n = 1, 2, 3, The frequencies are 200 Hz , 600 Hz , 1000 Hz , The first overtone is 600 Hz . Thus, the first overtone c

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