Understanding the Relationship

The relationship between wavelength (λ), frequency (f), and the speed of the wave (v) is given by the following equation:

* v = fλ

Applying the Equation

1. Identify the given information:

* Frequency (f) = 1.0 x 10⁻² Hz

2. Determine the speed of the wave:

* You need to know what type of wave you're dealing with to determine its speed. For example:

* Light: The speed of light in a vacuum is approximately 3 x 10⁸ m/s.

* Sound: The speed of sound in air at room temperature is about 343 m/s.

3. Rearrange the equation to solve for wavelength (λ):

* λ = v / f

4. Substitute the values and calculate:

* λ = (speed of the wave) / (1.0 x 10⁻² Hz)

Example:

Let's say the wave is a sound wave.

* λ = (343 m/s) / (1.0 x 10⁻² Hz) = 34,300 meters

Important Note: The wavelength will be different depending on the speed of the wave.