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RE-NEET 2026 Physics Harmonics in Pipes MCQ Question

Type: MCQ-conceptual-Medium-Class 11

For sound waves, if the number of nodes for the 5th5^{th} harmonic of an open-ended pipe is n and that for the 9th9^{th} harmonic of the same pipe with one of its ends closed is m, the ratio n/m is :

A

9/5

B

1

C

3/5

D

5/9

Correct Answer

Option A

Detailed Explanation

For an open-ended pipe, the number of nodes for the nth harmonic is n−1n^{-1}. For a pipe closed at one end, the number of nodes for the nth harmonic is (n−1n^{-1})/2. Thus, for the 5th5^{th} harmonic open-ended, n = 4, and for the 9th9^{th} harmonic closed, m = 4.5. Therefore, n/m = 9/5.

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