E = hf
Where:
E is the energy of the radiation in joules (J)
h is Planck's constant (6.626 x 10^(-34) Js)
f is the frequency of the radiation in hertz (Hz)
We can rearrange the equation to solve for the frequency:
f = E/h
Substituting the given energy value:
f = (6.63 x 10^(-18) J) / (6.626 x 10^(-34) Js) ≈ 1.0 x 10^16 Hz
The obtained frequency value falls within the infrared (IR) region of the electromagnetic spectrum. Therefore, the wave with an energy of 6.63 x 10-18J is categorized as infrared radiation.