Waves · JEE Preparation Physics

An open organ pipe has a fundamental frequency of 300text{ Hz}. If one end of the pipe is now closed, the new fundamental frequency will be:

Practice question from Waves (JEE Preparation Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-A69381

An open organ pipe has a fundamental frequency of 300 Hz300\text{ Hz}. If one end of the pipe is now closed, the new fundamental frequency will be:

  1. A.150 Hz150\text{ Hz}Correct answer
  2. B.300 Hz300\text{ Hz}
  3. C.600 Hz600\text{ Hz}
  4. D.75 Hz75\text{ Hz}

Solution

The fundamental frequency of an open organ pipe of length LL is fopen=v2L=300 Hzf_{\text{open}} = \frac{v}{2L} = 300\text{ Hz}. When one end is closed, the length remains the same, and the new fundamental frequency becomes fclosed=v4Lf_{\text{closed}} = \frac{v}{4L}. Comparing the two, fclosed=12fopen=3002=150 Hzf_{\text{closed}} = \frac{1}{2} f_{\text{open}} = \frac{300}{2} = 150\text{ Hz}.

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