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Question: Answered & Verified by Expert
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 $=333 \mathrm{~m} / \mathrm{s}$ ]
PhysicsWaves and SoundMHT CETMHT CET 2023 (09 May Shift 2)
Options:
  • A $3500 \mathrm{~Hz}$
  • B $3000 \mathrm{~Hz}$
  • C $2500 \mathrm{~Hz}$
  • D $2000 \mathrm{~Hz}$
Solution:
2938 Upvotes Verified Answer
The correct answer is: $3000 \mathrm{~Hz}$
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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