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Ush
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Homework Statement
Two of the wavelengths emitted by a hydrogen atom are 9.50×10-8 m and 4.65×10-6 m. What are the m and n values for the first wavelength?
Homework Equations
E = -13.6eV/n2
E = -13.6eV/(m2 - n2)
restriction:m > n
E = hf
f = c/λ
1 eV = 1.6 x 10-19J
The Attempt at a Solution
E = -13.6eV/(m2 - n2)
hc/λ = -13.6eV/(m2 - n2)
hc/λ(-13.6eV) = 1/(m2 - n2)
λ(-13.6eV)/hc = m2 - n2
λ(2.179E-18J)/hc = m2 - n2
let λ =9.50×10-8
(9.50×10-8)(2.179E-18J)/hc = m2 - n2
1 = m2 - n2
1 = (m-n)(m+n)
...now what? o_o
...am I doing this right?
...if I do the same process with the other wavelength then I get
51 = mb2 - nb2
51 = (mb-nb)(mb+nb)
...but nothing says m and mb or n / nb are related to each other..
this looks like something I did in h.s. -I don't remember how I did it =[
please help