Final answer:
The wavelength of the photon emitted when the electron makes a transition from the first excited state to the ground state can be calculated using the formula λ = 2 * (1.0 Å). The width of the potential well, given as 1.0 Å, is directly proportional to half of the wavelength of the emitted photon. Substituting the value of 1.0 Å into the equation, we get a wavelength of 2 * 10^-10 meters.
Step-by-step explanation:
The wavelength of the photon emitted when the electron makes a transition from the first excited state to the ground state can be determined using the formula:
λ = c/ν
Where λ is the wavelength, c is the speed of light, and ν is the frequency of the emitted photon.
In this case, since the electron is trapped in a one-dimensional infinite potential well, we can assume that the potential well width is related to the wavelength of the emitted photon.
Therefore, the width of the potential well, given as 1.0 Å, is directly proportional to half of the wavelength of the emitted photon.
So, we can calculate the wavelength of the emitted photon as:
λ = 2 * (1.0 Å)
Substituting the value of 1.0 Å into the equation, we get:
λ = 2 * (1.0 Å) = 2 Å = 2 * 10-10 meters