MHT CET 2024 Physics question

An air column in a closed organ pipe vibrating is unison with a fork produces second overtone. The vibrating air column has

(A)three nodes and two antinodes
(B)three nodes and three antinodesCorrect
(C)four nodes and three antinodes
(D)three nodes and four antinodes

Answer: (B)

Solution

A closed organ pipe has a node at the closed end and an antinode at the open end, and supports only odd harmonics: with . The fundamental is the 1st harmonic, the first overtone is the 3rd harmonic and the second overtone is the 5th harmonic (). In the 5th harmonic the pipe length is

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Question ID VK-092753