Show that the fundamental frequency of an open organ pipe is twice tha

1.	Show that the fundamental frequency of an open organ pipe is twice that of a closed organ pipe of the same length.
Answer» Fundamental frequency of an open organ pipe v₀ = v/2L Fundamental frequency of a closed organ pipe is, v_c = v/4L Hence, v₀/v_c = 2 or, v₀ = 2v_c

Show that the fundamental frequency of an open organ pipe is twice that of a closed organ pipe of the same length.

Answer»

Fundamental frequency of an open organ pipe

v₀ = v/2L

Fundamental frequency of a closed organ pipe is,

v_c = v/4L

Hence, v₀/v_c = 2

or, v₀ = 2v_c

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Show that the fundamental frequency of an open organ pipe is twice that of a closed organ pipe of the same length.

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