The energy of a photon of light can be calculated using the equation:
E = hc/λ
where E is the energy of the photon, h is Planck's constant (approximately 6.626 × 10^-34 joule-seconds), c is the speed of light in a vacuum (approximately 3.0 × 10^8 meters per second), and λ is the wavelength of the light.
Let's calculate the energy using the given wavelength:
λ = 3.10 × 10^-7 m
E = (6.626 × 10^-34 J·s × 3.0 × 10^8 m/s) / (3.10 × 10^-7 m)
E ≈ 6.42 × 10^-19 Joules
Therefore, the energy of a photon of light with a wavelength of 3.10 × 10^-7 m is approximately 6.42 × 10^-19 Joules.