Understanding the Relationship

* Frequency (f): Measured in Hertz (Hz), which represents cycles per second.

* Wavelength (λ): Measured in meters (m), representing the distance between wave crests.

* Speed of Light (c): A constant, approximately 3 x 10⁸ m/s.

The relationship between these is:

c = fλ

Calculation

1. Given:

* Frequency (f) = 3 x 10¹² Hz

2. Solve for Wavelength (λ):

* λ = c / f

* λ = (3 x 10⁸ m/s) / (3 x 10¹² Hz)

* λ = 1 x 10⁻⁴ m

Answer

The wavelength of a 3 x 10¹² Hz infrared wave is 1 x 10⁻⁴ meters, or 100 micrometers.