Answer:
0.3 m
Explanation:
[tex]v[/tex] = Velocity of sound in air = [tex]330\ \text{m/s}[/tex]
[tex]f[/tex] = Fundamental frequency = [tex]274\ \text{Hz}[/tex]
[tex]L[/tex] = Length of the tube
When one end of a column is closed the fundamental frequency is given by
[tex]f=\dfrac{v}{4L}\\\Rightarrow L=\dfrac{v}{4f}\\\Rightarrow L=\dfrac{330}{4\times 274}\\\Rightarrow L=0.3\ \text{m}[/tex]
The length of the column is 0.3 m.
