Final answer:
To calculate the energy of a photon, we can use the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of light. Finally, we use E = hf to calculate the energy, resulting in a value of 4.07 x 10^-19 J.
Step-by-step explanation:
To calculate the energy of a photon, we can use the equation E = hf, where E is the energy, h is Planck's constant (6.626 x 10^-34 J.s), and f is the frequency of light.
However, in this question, the wavelength is given instead of the frequency, so we need to convert the wavelength to frequency using the formula f = c/λ, where c is the speed of light (3.00 x 10^8 m/s) and λ is the wavelength.
Given the wavelength of 489 nm, we first convert it to meters by dividing by 10^9: 489 nm = 489 x 10^-9 m.
Then, we plug this value into the formula f = c/λ:
f = (3.00 x 10^8 m/s) / (489 x 10^-9 m)
= 6.14 x 10^14 Hz.
Now that we have the frequency, we can calculate the energy using E = hf:
E = (6.626 x 10^-34 J.s) x (6.14 x 10^14 Hz)
= 4.07 x 10^-19 J.