(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

E = -13.6eV/n^{2}

E = -13.6eV/(m^{2}- n^{2})

restriction:m > n

E = hf

f = c/λ

1 eV = 1.6 x 10^{-19}J

3. The attempt at a solution

E = -13.6eV/(m^{2}- n^{2})

hc/λ = -13.6eV/(m^{2}- n^{2})

hc/λ(-13.6eV) = 1/(m^{2}- n^{2})

λ(-13.6eV)/hc = m^{2}- n^{2}

λ(2.179E-18J)/hc = m^{2}- n^{2}

let λ =9.50×10-8

(9.50×10-8)(2.179E-18J)/hc = m^{2}- n^{2}

1 = m^{2}- n^{2}

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 = m_{b}^{2}- n_{b}^{2}

51 = (m_{b}-n_{b})(m_{b}+n_{b})

...but nothing says m and m_{b}or n / n_{b}are related to each other..

this looks like something I did in h.s. -I don't remember how I did it =[

please help

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# Homework Help: Finding wavelength Please help

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