Final answer:
The frequency of infrared radiation with a 15.0 μm wavelength is 2.00 x 1013 Hz, calculated using the speed of light and wavelength in the formula for electromagnetic wave frequency.
Step-by-step explanation:
The frequency of electromagnetic radiation can be calculated using the formula ν = c / λ, where ν (nu) is frequency, c is the speed of light in a vacuum (approximately 3.00 × 108 m/s), and λ (lambda) is the wavelength. Here, the wavelength given is 15.0 μm (micrometers), which needs to be converted into meters (15.0 × 10-6 m), to properly insert into the formula. Substituting these values into our frequency formula gives us the following:
ν = c / λ = (3.00 × 108 m/s) / (15.0 × 10-6 m) = 2.00 × 1013 Hz.
Thus, the frequency of the electromagnetic radiation with a wavelength of 15.0 μm is 2.00 x 1013 Hz.