A 50.0 cm long organ pipe is filled with air and is open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the frequency of the second mode?
A) 662 Hz
B) 621 Hz
C) 587 Hz
D) 562 Hz
E) 550 Hz

Question

Quizplus · Accepted Answer

The frequency of the second mode (first overtone) for an open pipe is given by f = nv/2L, where n is the mode number (n=2 for the second mode), v is the speed of sound, and L is the length of the pipe. Substituting the given values: f = 2 * 331 m/s / (2 * 0.5 m) = 662 Hz.

A 500 Cm Long Organ Pipe Is Filled with Air and and Is