Published by:
CGP EDU Academic Team
Published on: September 12, 2026
With a closed end organ pipe of length λ , the fundamental tone has a frequency
and only odd harmonics are present.
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: For a closed-end organ pipe, the fundamental frequency (first harmonic) is determined by the formula:
$$ f = \frac{v}{4L} $$
where
Step 2: Since the problem states that the organ pipe has a length of \( \lambda \), we can substitute \(L = \lambda\) into the formula:
$$ f = \frac{v}{4\lambda} $$
Step 3: The problem mentions that only odd harmonics are present.
Therefore, the fundamental tone of a closed-end organ pipe produces frequencies based on this equation, confirming that it indeed only emits odd harmonics.
Hence, the answer is A.
$$ f = \frac{v}{4L} $$
where
- $f$ is the frequency of the fundamental tone,
- $v$ is the speed of sound in the medium,
- $L$ is the length of the organ pipe.
Step 2: Since the problem states that the organ pipe has a length of \( \lambda \), we can substitute \(L = \lambda\) into the formula:
$$ f = \frac{v}{4\lambda} $$
Step 3: The problem mentions that only odd harmonics are present.
Therefore, the fundamental tone of a closed-end organ pipe produces frequencies based on this equation, confirming that it indeed only emits odd harmonics.
Hence, the answer is A.
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