Final answer:
The energy of a photon of red light with a wavelength of 6.54 x 10^-5 cm is 4.85 x 10^-19 J.
Step-by-step explanation:
To calculate the energy of a photon, you can use the equation E = hf, where E is the energy, h is Planck's constant (6.626 x 10^(-34) J·s), and f is the frequency of the light. Since the question provides the wavelength and not the frequency, you'll need to use the formula c = λf to solve for f, where c is the speed of light (2.998 x 10^8 m/s) and λ is the wavelength. Rearranging the formula, you get f = c/λ. Now you can substitute the values into E = hf to find the energy:
E = (6.626 x 10^(-34) J·s)(2.998 x 10^8 m/s)/(6.54 x 10^(-5) cm) = 4.85 x 10^(-19) J