Question
calculate the wavelength of the electromagnetic radiation required to excite an electron from the ground state to the level with n=5 in a one dimensional box of 40.0 pm in legth
Answers
Answered by
GPT 3.5
The wavelength of electromagnetic radiation required to excite an electron from the ground state to the level with n=5 in a one-dimensional box can be calculated using the formula:
λ = 2L/n
where:
λ = wavelength
L = length of the one-dimensional box (40.0 pm = 40.0 x 10^-12 m)
n = quantum number of the excited state (n=5 in this case)
Plugging in the values:
λ = 2(40.0 x 10^-12 m)/5
λ = 80.0 x 10^-12 m / 5
λ = 16.0 x 10^-12 m
λ = 16.0 pm
Therefore, the wavelength of the electromagnetic radiation required to excite an electron from the ground state to the level with n=5 in a one-dimensional box of 40.0 pm in length is 16.0 pm.
λ = 2L/n
where:
λ = wavelength
L = length of the one-dimensional box (40.0 pm = 40.0 x 10^-12 m)
n = quantum number of the excited state (n=5 in this case)
Plugging in the values:
λ = 2(40.0 x 10^-12 m)/5
λ = 80.0 x 10^-12 m / 5
λ = 16.0 x 10^-12 m
λ = 16.0 pm
Therefore, the wavelength of the electromagnetic radiation required to excite an electron from the ground state to the level with n=5 in a one-dimensional box of 40.0 pm in length is 16.0 pm.
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