Understanding the Relationship
* Speed of a wave (v): This is how fast the wave travels through the medium (340 m/s in this case).
* Wavelength (λ): This is the distance between two consecutive crests or troughs of the wave.
* Frequency (f): This is the number of wave cycles that pass a given point per second.
The relationship between these three is:
v = fλ
Solving for Frequency
1. Calculate the frequency of the first wave (λ = 5 m):
f₁ = v / λ₁ = 340 m/s / 5 m = 68 Hz
2. Calculate the frequency of the second wave (λ = 0.2 m):
f₂ = v / λ₂ = 340 m/s / 0.2 m = 1700 Hz
3. Find the difference in frequency:
Δf = f₂ - f₁ = 1700 Hz - 68 Hz = 1632 Hz
Therefore, the difference in frequency between the two waves is 1632 Hz.
