At a particular temperature, sound speed is 333 m s⁻¹ and wavelength is 3 cm. Calculate frequency and say whether it is typically audible.

Solution & explanation

1. Given: v = 333 m s⁻¹; λ = 3 cm.

2. Find: f in Hz

3. Convert centimetres to metres.

   $$\lambda =\frac{3}{100}=0.03$$

4. Start with v = fλ.

   $$v=f\times \lambda$$

5. Divide both sides by wavelength.

   $$f=\frac{v}{\lambda }$$

6. Substitute speed and wavelength.

   $$f=\frac{333}{0.03}$$

7. Perform the division.

   $$f=11100.0$$

8. State the result with units: f = 11100 Hz = 11.1 kHz

9. Compare with approximately 20–20000 Hz. This frequency lies inside that range.

f = 11100 Hz = 11.1 kHz; within the typical audible range.