Final answer:
The energy of an ultraviolet photon with a wavelength of 1.18 x 10^-13 m is approximately 1.68 x 10^-12 J.
Step-by-step explanation:
The energy of an ultraviolet photon can be calculated using the formula E = hf, where E is the energy, h is Planck's constant (6.63 × 10-34 J·s), and f is the frequency of the photon.
To find the frequency, we need to convert the wavelength from meters to meters.
Given that the wavelength is 1.18 × 10-13 m, we can use the formula f = c/λ (where c is the speed of light in a vacuum and λ is the wavelength).
Plugging in the values, we get:
f = (3 × 108 m/s) / (1.18 × 10-13 m) = 2.54 × 1021 Hz.
Now we can calculate the energy:
E = (6.63 × 10-34 J·s) × (2.54 × 1021 Hz) = 1.68 × 10-12 J.