Final answer:
The energy of a photon can be calculated using the equation E = hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the radiation. Given the energy of the photon is 6.50×10^19 J, the frequency is 9.81 × 10^52 Hz and the wavelength is 3.06 × 10^-44 m.
Step-by-step explanation:
The energy of a photon can be calculated using the equation E = hf, where E is the energy of the photon, h is Planck's constant (6.63 × 10^-34 J·s), and f is the frequency of the radiation.
Given that the energy of the photon is 6.50×10^19 J, we can rearrange the equation to calculate the frequency (f).
Dividing the energy by Planck's constant gives us the frequency: f = (6.50×10^19 J) / (6.63 × 10^-34 J·s) = 9.81 × 10^52 Hz. Since wavelength (λ) is related to frequency by the equation c = λf (where c is the speed of light), we can rearrange to find the wavelength: λ = c / f. With c being approximately 3 x 10^8 m/s, we can calculate the wavelength: λ = (3 x 10^8 m/s) / (9.81 × 10^52 Hz) = 3.06 × 10^-44 m.