Final answer:
The energy of a photon can be calculated using the formula E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength. The energy of a 537 nm photon is approximately 3.69 x 10^-19 J.
Step-by-step explanation:
The energy of a photon can be calculated using the formula:
E = hc/λ
Where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J·s), c is the speed of light in a vacuum (3 x 10^8 m/s), and λ is the wavelength of the photon.
Given that the wavelength of the photon is 537 nm (or 537 x 10^-9 m), we can substitute these values into the equation to calculate the energy:
E = (6.626 x 10^-34 J·s) * (3 x 10^8 m/s) / (537 x 10^-9 m)
Solving this equation gives us the energy of the photon, which is approximately 3.69 x 10^-19 J.