To calculate the length of the box, we can use the formula for the wavelength of the photon emitted or absorbed when an electron undergoes a transition between energy levels in a one-dimensional box:
λ = 2L/n
Where:
λ = wavelength of the photon (8080 nm or 8.08 x 10^-6 m)
L = length of the box
n = energy level
Given that the electron transitions from n = 2 to n = 3, we can rearrange the formula to solve for L:
L = λn / 2
L = (8.08 x 10^-6 m) * 3 / 2
L = 1.212 x 10^-5 m
Therefore, the length of the box is 1.212 x 10^-5 meters or 12.12 μm.
an electron in a one dimensional box required a wavelength of 8080 nm to excite an electron from the n=2 to n=3 energy level. calculate the length of the box
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