Final answer:
The frequency of light for a photon with an energy of 2.23×10^-21 J is approximately 3.37×10^12 Hz.
Step-by-step explanation:
To find the frequency of light when given the energy of a single photon, we can use the equation E = hf, where E is the energy of the photon, h is Planck's constant (6.626×10-34 J·s), and f is the frequency.
First, let's isolate the frequency (f) in the equation:
f = E / h
Next, we substitute the given value for the energy of the photon:
f = (2.23 × 10-21 J) / (6.626 × 10-34 J·s)
By performing this calculation, we get:
f ≈ 3.37 × 1012 Hz
Therefore, the frequency of light associated with a photon of energy 2.23 × 10-21 J is approximately 3.37 × 1012 Hz.