Understanding the Relationship
* Frequency (f): How many wave cycles occur per second. Measured in Hertz (Hz).
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave. Measured in meters (m).
* Speed of the Wave (v): How fast the wave travels through a medium. Measured in meters per second (m/s).
The relationship between these is:
v = fλ
The Problem
To calculate the wavelength, we need the speed of the wave. Here's why:
* Different waves travel at different speeds: Light travels at the speed of light (approximately 3 x 10^8 m/s). Sound travels at a much slower speed (around 343 m/s in air). Waves on a string travel even slower.
Example:
Let's assume we're dealing with sound waves:
* Frequency (f): 0.5 Hz
* Speed of Sound (v): 343 m/s
Calculation:
1. Rearrange the formula: λ = v/f
2. Substitute the values: λ = 343 m/s / 0.5 Hz
3. Calculate: λ = 686 meters
Conclusion
A 0.5 Hz wave, assuming it's a sound wave, would have a wavelength of 686 meters.
Important Note: This is a very low frequency. Human ears cannot hear sound waves this low.
