Question

What fundamental frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep

Answer 1

708.3 Hz

Step-by-step explanation:

For an open-air column, like the empty can, the fundamental frequency is given by

`f_1 = (v)/(2L)`

where

v = 340 m/s is the speed of sound

L is the length of the column

In this problem, the length of the bottle is

L = 24 cm = 0.24 m

Therefore, the fundamental frequency is

`f_1 = (340 m/s)/(2(0.24 m))=708.3 Hz`