Final answer:
To calculate the energy of the red emission line, we can use the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the light.
Step-by-step explanation:
To calculate the energy of the red emission line, we can use the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the light.
Given that the wavelength of the red light is 660 nm, we can calculate the frequency using the equation f = c/λ, where c is the speed of light. Once we have the frequency, we can plug it into the equation to calculate the energy in joules.
For example, let's calculate the energy for red light with a wavelength of 660 nm:
First, we calculate the frequency using f = c/λ:
f = (3.00 x 10^8 m/s) / (660 x 10^-9 m) = 4.55 x 10^14 Hz
Then, we calculate the energy using E = hf:
E = (6.63 x 10^-34 J*s) x (4.55 x 10^14 Hz) = 3.01 x 10^-19 J
Thus, the energy of the red emission line is 3.01 x 10^-19 J.