Final answer:
The energy in joules of a photon with a wavelength of 419 nm is calculated using the equation E = hc/λ, with the constants for Planck's constant and the speed of light.
Step-by-step explanation:
To calculate the energy in joules of a photon of radiation with a wavelength of 419 nm, we use the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant (6.626 × 10-34 J · s), c is the speed of light (3.00 × 108 m/s), and λ is the wavelength of the light in meters.
First, convert the wavelength from nanometers to meters by dividing by 1,000,000,000: λ = 419 nm = 419 × 10-9 m. Then, substitute the values into the equation:
E = (6.626 × 10-34 J · s) (3.00 × 108 m/s) / (419 × 10-9 m)
After the calculations, we find the energy of the photon in joules.