Answer:
1.25 m
Explanation:
For an open-air pipe, the two ends of the pipe corresponds to two antinodes of the standing wave; therefore, the wavelength of the wave is equal to twice the length of the tube:
[tex]\lambda=2 L[/tex]
We can rewrite the wavelength using the speed of the sound wave, v, and the frequency, f:
[tex]\lambda=\frac{v}{f}[/tex]
And substituting into the previous equation we get
[tex]\frac{v}{f}=2L\\L= \frac{v}{2f}[/tex]
And using
v = 340 m/s
f = 136 Hz
We find the length of the organ pipe:
[tex]L=\frac{340 m/s}{2(136 Hz)}=1.25 m[/tex]
