Sound frequency is 250 Hz and speed 340 m s⁻¹. Find wavelength.

Solution & explanation

1. Given: f = 250 Hz; v = 340 m s⁻¹.

2. Find: λ in m

3. Start with the wave relation.

   $$v=f\times \lambda$$

4. Divide by frequency.

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

5. Substitute.

   $$\lambda =\frac{340}{250}$$

6. Divide speed by frequency.

   $$\lambda =\frac{34}{25}$$

7. State the result with units: λ = 1.36 m

λ = 1.36 m