Understanding the Relationship

The relationship between the frequency (f) of light, its wavelength (λ), and the speed of light (c) is given by:

* c = fλ

Where:

* c is the speed of light in a vacuum (approximately 3 x 10⁸ meters per second)

* f is the frequency in Hertz (Hz)

* λ is the wavelength in meters

Calculation

1. Rearrange the formula to solve for wavelength:

λ = c / f

2. Plug in the values:

λ = (3 x 10⁸ m/s) / (1 x 10¹⁵ Hz)

3. Calculate:

λ = 3 x 10⁻⁷ meters

Converting to a More Common Unit

Wavelengths of light are often expressed in nanometers (nm). Since 1 meter = 1 x 10⁹ nanometers:

λ = 3 x 10⁻⁷ meters * (1 x 10⁹ nm / 1 meter) = 300 nm

Answer

The wavelength of light with a frequency of 1000000000000000 Hertz is 300 nanometers. This falls within the ultraviolet (UV) portion of the electromagnetic spectrum.