Final answer:
The energy of one photon of yellow light with a wavelength of 589 nm is 3.403 × 10^-19 J.
Step-by-step explanation:
The energy of one photon of yellow light can be calculated using the formula: E = hf, where E is the energy, h is Planck's constant (6.626 × 10^-34 J-s), and f is the frequency of the light.
The frequency can be calculated using the formula: f = c/λ, where c is the speed of light in a vacuum (3 × 10^8 m/s) and λ is the wavelength of the light.
By substituting the given wavelength (589 nm = 589 × 10^-9 m) into the formula, we can calculate the frequency. Then, by substituting the frequency into the energy formula, we can determine the energy of the photon.
Let's go through the calculations:
- Calculate the frequency: f = c/λ = (3 × 10^8 m/s) / (589 × 10^-9 m).
- Substitute the frequency into the energy formula: E = hf = (6.626 × 10^-34 J-s) × ((3 × 10^8 m/s) / (589 × 10^-9 m)).
- Calculate the energy using the given values: E = 3.403 × 10^-19 J.
Therefore, the energy of one photon of yellow light with a wavelength of 589 nm is 3.403 × 10^-19 J.