A 200-cm open organ with one end open pipe is in resonance with a sound wave of wavelength 270 cm. The pipe is operating in its:
A) fundamental frequency
B) first overtone
C) second overtone
D) third overtone
E) fourth overtone

Question

Quizplus · Accepted Answer

An open pipe resonates at odd harmonics. The fundamental frequency has a wavelength four times the length of the pipe. For a 200 cm pipe, the fundamental wavelength is 800 cm. The first overtone (third harmonic) has a wavelength of 4/3 times the pipe length, which is 267 cm, close to 270 cm.

A 200-Cm Open Organ with One End Open Pipe Is