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Question: Answered & Verified by Expert
An organ pipe with both ends open has a length $L=25 \mathrm{~cm}$. An extra hole is created at position $\frac{L}{2}$. The lowest frequency of sound produced is (assume, speed of sound $=340 \mathrm{~m} / \mathrm{s}$ )
PhysicsWaves and SoundTS EAMCETTS EAMCET 2020 (11 Sep Shift 1)
Options:
  • A $680 \mathrm{~Hz}$
  • B $340 \mathrm{~Hz}$
  • C $1360 \mathrm{~Hz}$
  • D $4352 \mathrm{~Hz}$
Solution:
2127 Upvotes Verified Answer
The correct answer is: $1360 \mathrm{~Hz}$
We know that, there must be an antinode at the open end. Since, a hole has been made at the position $\frac{L}{2}$, so there must be another antinode at $x=\frac{L}{2}$.


For lowest frequency, $\lambda=L=25 \mathrm{~cm}$
Frequency of sound produced,
$f=\frac{v}{\lambda}=\frac{340}{0.25}=1360 \mathrm{~Hz}$

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