Closed pipe resonates at odd harmonics: $f, 3f, 5f, \ldots$
Difference between successive resonant frequencies $= 2f$
$$500 - 300 = 200 = 2f \Rightarrow f = 100\,\text{Hz}$$
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JEE Main 2025 — Physics Waves & Oscillations
medium
mcq
2025
Official previous-year question
Verified 30 May 2026.
Question
An organ pipe closed at one end resonates at frequencies $300\,\text{Hz}$ and $500\,\text{Hz}$. These are two successive resonant frequencies. The fundamental frequency of the pipe is:
Options
- A
$100\,\text{Hz}$
- B
$200\,\text{Hz}$
- C
$50\,\text{Hz}$
- D
$150\,\text{Hz}$
Solution
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