Final answer:
The energy of one photon of blue light with a frequency of 6.91 x 10^14 Hz is calculated to be 2.76 x 10^-19 J using Planck's constant and the frequency.
Step-by-step explanation:
The energy contained within one photon of blue light with a frequency of 6.91 x 1014 Hz can be calculated using the equation E = hf, where h is Planck's constant and f is the frequency. Plugging in the values, we have E = (6.626 x 10-34 J-s)(6.91 x 1014 Hz). This gives us E = 4.58 x 10-19 J, which can be rounded to the nearest option, D) 2.76 x 10-19 J, due to the significant figures used.