Final answer:
The energy of a 185 nm wave of light is approximately 1.07 x 10^-18 J.
Step-by-step explanation:
To calculate the energy of a wave of light, we can use the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency. Given that the speed of light in a vacuum is 3.00 x 10^8 m/s and the wavelength of the light wave is 185 nm (or 1.85 x 10^-7 m), we can find the frequency using the equation c = λν, where c is the speed of light and λ is the wavelength.
Using the values given, we can rearrange the equation to find the frequency: ν = c/λ = (3.00 x 10^8 m/s) / (1.85 x 10^-7 m) = 1.62 x 10^15 Hz. Now, we can calculate the energy using the equation E = hf = (6.626 x 10^-34 J·s) x (1.62 x 10^15 Hz) = 1.07 x 10^-18 J.
Therefore, the energy of a 185 nm wave of light is approximately 1.07 x 10^-18 J.