Answer:
Δλ = 3*10⁻³ m.
Explanation:
- At any wave, there exists a fixed relationship between the speed of the wave, the wavelength, and the frequency, as follows:
where v is the speed, λ is the wavelength and f is the frequency.
- Rearranging terms, we can get λ from the other two parameters, as follows:
- Since v is constant for sound at 343 m/s, we can find the different wavelengths at different frequencies, as follows:
- The difference between both wavelengths, is just the difference between (3) and (4):
⇒ Δλ = 3*10⁻³ m.