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MHT CET · Physics · Waves and Sound

If the length of an open organ pipe is \(33.3 \mathrm{~cm}\), then the frequency of fifth overtone is [Neglect end correction, velocity of sound \(=333 \mathrm{~m} / \mathrm{s}\) ]

  1. A \(3500 \mathrm{~Hz}\)
  2. B \(3000 \mathrm{~Hz}\)
  3. C \(2500 \mathrm{~Hz}\)
  4. D \(2000 \mathrm{~Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3000 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

For a pipe open at both ends,
\(\mathrm{n}=\frac{\mathrm{v}}{2 l}=\frac{333}{2 \times 33.3 \times 10^{-2}}=500 \mathrm{~Hz}\)
\(\therefore \quad\) Frequency of \(5^{\text {th }}\) overtone,
\(\mathrm{n}=6 \mathrm{n}=6 \times 500=3000 \mathrm{~Hz}\)
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