A tuning fork vibrates at 512 Hz. If the speed of sound in air at room temperature is 340 m/s, what is the wavelength of the sound produced?

Step-by-step solution

1. Identify the given frequency $f=512\text{ Hz}$ and the speed of sound $v=340\text{ m/s}$.
2. Use the relation for wave speed: $v=f\lambda$.
3. Rearrange to find wavelength: $\lambda =\frac{v}{f}$.
4. Substitute the numerical values: $\lambda =\frac{340}{512}\text{ m}=0.6640625\text{ m}$.
5. Round to three significant figures: $\lambda =0.664\text{ m}$.
6. Thus, the wavelength is $0.664\text{ m}$.

Concept tested: wavelength of sound

Published 4 October 2026 · How this solution was prepared and checked