* Nanometers (nm) measure wavelength: Nanometers are a unit of length used to describe the distance between two crests or troughs of a wave. Infrared light has wavelengths that fall within a specific range, typically from 700 nanometers to 1 millimeter (1,000,000 nanometers).
* Frequency is the number of waves per second: Frequency is measured in Hertz (Hz), which represents how many wave cycles occur in one second.
The relationship between wavelength and frequency:
* The speed of light (c) is constant.
* The relationship between wavelength (λ), frequency (f), and the speed of light is: c = λ * f
To convert between wavelength and frequency:
1. If you know the wavelength in nanometers:
* Convert the wavelength to meters (1 nanometer = 1 x 10^-9 meters).
* Use the formula f = c / λ to calculate the frequency in Hertz.
2. If you know the frequency in Hertz:
* Use the formula λ = c / f to calculate the wavelength in meters.
* Convert the wavelength to nanometers (1 meter = 1 x 10^9 nanometers).
Example:
Let's say you have an infrared light with a wavelength of 1000 nanometers:
1. Convert to meters: 1000 nm = 1 x 10^-6 meters
2. Use the formula: f = (3 x 10^8 m/s) / (1 x 10^-6 m) = 3 x 10^14 Hz
Therefore, the frequency of the infrared light with a wavelength of 1000 nanometers is 3 x 10^14 Hz.