A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths is

Question

A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths is (A) 1:1 (B) 2:1 (C) 1:4 (D) 1:2

Tardigrade Admin · Accepted Answer

Fundamental frequency of close pipe, v1=(v/4 l1) Fundamental frequency of open pipe, v2=(v/2 l2) But v1=v2 ∴ (l1/l2)=(1/2)

Q. A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths is