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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Waves and Sound

NEET 2023 · Physics · Waves and Sound

The ratio of frequencies of fundamental harmonic produced by an...

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:

Options

  1. A3:13: 1
  2. B1:21: 2
  3. C2:12: 1
  4. D1:31: 3

Correct answer

C. 2:12: 1

Step-by-step solution

Fundamental frequency of open pipe is given by, fopen=v2l{f}_{open} = \dfrac{v}{2l}.

Fundamental frequency of closed pipe is given by,

fclosed=v4l{f}_{closed} = \dfrac{v}{4l}.

Therefore,

fopenfclosed=v2l×4lv⇒fopen:fclosed=2:1\dfrac{{f}_{open}}{{f}_{closed}} = \dfrac{v}{2l} \times \dfrac{4l}{v} ⇒ {f}_{open}: {f}_{closed} = 2: 1

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