Problem A.15 values of n

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Problem A.15 values of n

Postby kevinchang_4I » Mon Oct 07, 2019 8:59 pm

In this problem it gives us the wavelength of 102.6nm and tells us the line is in the UV spectrum. This means that n1 is going to = 1, and we must find n2. v=R((1/n1^2)-(1/n2^2)), and wavelength 102.6nm = c / v. I just don't know the algebra to find the value of n2. Thanks for the help

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Re: Problem A.15 values of n

Postby DMuth_1J » Tue Oct 08, 2019 11:16 am

Algebraically you could isolate n2^2 in either formats

(1/n2^2)= (1/n1^2)-(V/R)


(n2^2)= (n1^2)-(R/V)

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Re: Problem A.15 values of n

Postby BNgo_2L » Thu Oct 10, 2019 2:38 pm

After converting the wavelength of the spectral line to the energy it emits, you have to use E=E(final)-E(initial) to figure out the n values.You're already given the n value for the final energy as UV follows the Lyman series stating from any n value, the electron must return to ground state at n=1. Next, you find the Energy for the final and then plug all of the given information into the change in E equation in order to isolate n for the initial energy. Isolating n of the initial energy will give you the last n value.

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