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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

An open organ pipe produces a fundamental frequency of 300 Hz . If...

An open organ pipe produces a fundamental frequency of 300 Hz300\text{ Hz}. If one of its ends is tightly closed, what will be the new fundamental frequency of the pipe?

Options

  1. A150 Hz150\text{ Hz}
  2. B300 Hz300\text{ Hz}
  3. C600 Hz600\text{ Hz}
  4. D900 Hz900\text{ Hz}

Correct answer

A. 150 Hz150\text{ Hz}

Step-by-step solution

The fundamental frequency of an open organ pipe of length LL is given by fopen=v2Lf_{\text{open}} = \dfrac{v}{2L}.

Given fopen=300 Hzf_{\text{open}} = 300\text{ Hz}.

When one end of the pipe is tightly closed, it behaves as a closed organ pipe. The fundamental frequency of a closed organ pipe of the same length LL is given by fclosed=v4Lf_{\text{closed}} = \dfrac{v}{4L}.

Comparing the two frequencies, we get fclosed=12(v2L)=fopen2f_{\text{closed}} = \dfrac{1}{2} \left(\dfrac{v}{2L}\right) = \dfrac{f_{\text{open}}}{2}.

Substituting the given value, fclosed=3002=150 Hzf_{\text{closed}} = \dfrac{300}{2} = 150\text{ Hz}.

Answer: 150 Hz150\text{ Hz}
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