Given that the length of the open-air column is L = 33 cm = 0.33 m
The frequency of the air column is f = 512 Hz
We have to find the speed of sound, v.
The speed of sound can be calculated by the formula,
[tex]\begin{gathered} f=\frac{v}{2L} \\ v=2L\times f \end{gathered}[/tex]Substituting the values, the speed of sound will be
[tex]\begin{gathered} v=2\times0.33\times512 \\ =337.92\text{ m/s} \end{gathered}[/tex]Thus, the speed of sound is 337.92 m/s.
