Final answer:
The energy of a photon of ultraviolet light with a frequency of 6.8 x 10^15 Hz is calculated using the formula E = hf and is approximately 4.51 x 10^-18 joules.
Step-by-step explanation:
To calculate the energy of a photon with a frequency of 6.8 x 1015 Hz, we use the formula E = hf, where E is the energy of the photon in joules (J), h is Planck's constant (6.626 x 10-34 J·s), and f is the frequency of the photon in hertz (Hz). Plugging the values into the formula: E = (6.626 x 10-34 J·s) x (6.8 x 1015 Hz) we get:
E = 4.50568 x 10-18J
Therefore, the energy of a photon of ultraviolet light with a frequency of 6.8 x 1015 Hz is approximately 4.51 x 10-18 joules.