Understanding the Relationship

The speed of light in a vacuum (c) is a constant: approximately 299,792,458 meters per second. The relationship between the speed of light (c), frequency (f), and wavelength (λ) is:

c = fλ

Solving for Wavelength

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

λ = c / f

2. Plug in the values:

λ = 299,792,458 m/s / 1.0 x 10^15 Hz

3. Calculate:

λ ≈ 2.9979 x 10^-7 meters

Converting to Nanometers

Since wavelengths of light are often expressed in nanometers (nm), let's convert:

* 1 meter = 1 x 10^9 nanometers

* λ ≈ 2.9979 x 10^-7 meters * (1 x 10^9 nm / 1 meter)

* λ ≈ 299.79 nm

Therefore, the wavelength of the light wave is approximately 299.79 nanometers.