What is the first overtone frequency for an organ pipe 2.00 m in length,closed at one end? The speed of sound in air is 340 m/s.
A)42.5 Hz
B)85.0 Hz
C)128 Hz
D)680 Hz

Question

Quizplus · Accepted Answer

The first overtone frequency for a closed organ pipe is 3 times the fundamental frequency, so we need to calculate the fundamental frequency first. The formula for the fundamental frequency of a closed organ pipe is f1 = v/4L, where v is the speed of sound and L is the length of the pipe. Plugging in the values given, we get:

f1 = 340/(4x2) = 42.5 Hz

The formula for the first overtone frequency (f2) is f2 = 3f1, so:

f2 = 3x42.5 = 127.5 Hz

Therefore, the closest answer choice is C) 128 Hz.

What Is the First Overtone Frequency for an Organ Pipe