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Chapter: Superposition of Waves· Physics

When an air column in a pipe closed at one end vibrates such that two nodes are formed in it, the frequency of its vibrations is ____.

Q.1 (x) When an air column in a pipe closed at one end vibrates such that two nodes are formed in it, the frequency of its vibrations is ____.

A. two times the fundamental frequency

B. three times the fundamental frequency

C. four times the fundamental frequency

D. five times the fundamental frequency

1 answer

Best answer

Answer: B. three times the fundamental frequency

Answer: (b) three times the fundamental frequency

In a closed pipe there is always a node at the closed end and an antinode at the open end. With two nodes the length is \(L = \dfrac{3\lambda}{4}\), so \(n = \dfrac{3v}{4L} = 3n_0\), where \(n_0 = \dfrac{v}{4L}\) is the fundamental frequency. This is the first overtone (third harmonic).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report
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