Question

What is the length of a tube that has a fundamental frequency of 176 Hz and a first overtone of 352 Hz if the speed of sound is 343 m/s?

a) 1.94 m
b) 0.97 m
c) 3.88 m
d) 7.76 m

Answer 1

The length of the tube is 1.94 m.

Step-by-step explanation:

The fundamental frequency of a tube is determined by the length of the tube. The first overtone is the second harmonic, which is twice the frequency of the fundamental frequency. To find the length of the tube, we can use the formula:

Length = (Speed of sound) / (Frequency)

For the fundamental frequency of 176 Hz, the length would be (343 m/s) / (176 Hz) = 1.949 m. Therefore, the correct answer is 1.94 m (option a).