Final answer:
The energy of a photon can be calculated using Planck's constant and the frequency of light. By substituting the given wavelength of 615 nm into the equation, we can find that the energy of a photon with this wavelength is 3.23 × 10^-19 J.
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 (6.626 × 10^-34 J·s), and f is the frequency of the light. Since the wavelength (λ) and frequency (f) of light are related by the equation:
c = λf
Where c is the speed of light (3.00 × 10^8 m/s), we can solve for f using the given wavelength of 615 nm:
f = c / λ = (3.00 × 10^8 m/s) / (615 × 10^-9 m) = 4.88 × 10^14 Hz.
Now, we can substitute the frequency into the equation for energy:
E = hf = (6.626 × 10^-34 J·s) × (4.88 × 10^14 Hz) = 3.23 × 10^-19 J.