Question

The first resonant length of an open air column in resonance with a 512 Hz fork is 33. 0 cm. Find the speed of sound.

Answer 1

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,

$\begin{gathered} f=\frac{v}{2L} \\ v=2L\times f \end{gathered}$

Substituting the values, the speed of sound will be

$\begin{gathered} v=2\times0.33\times512 \\ =337.92\text{ m/s} \end{gathered}$

Thus, the speed of sound is 337.92 m/s.