UV Spectrum of H-Atom

H-Atom ()

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juliaddc
Posts: 19
Joined: Fri Sep 29, 2023 12:21 pm

UV Spectrum of H-Atom

Postby juliaddc » Sat Dec 09, 2023 1:33 pm

How do you find n2?
The original problem asks us to determine n value for initial and final energy levels of the electron when a line is observed at 102.6nm. I first started by using v=c/λ and got 2.922x10^15 s^-1. Then I used 1/n2^2 = 1/n1^2 - v/R to find the second level, but I don't think I understand how to use the equation, I got stuck when I got 1/n2^2=0.112. In the book, I saw that the answer is 3 but I don't understand how they got that.

Thank you!

905994971
Posts: 87
Joined: Tue Oct 03, 2023 8:21 am

Re: UV Spectrum of H-Atom

Postby 905994971 » Sat Dec 09, 2023 2:09 pm

Once you get to 1/n2^2=0.112 you can just do it as an algebra problem!

Multiply both sides by n2^2
1=0.112*n2^2

Divide both sides by 0.112
8.93=n2^2

Square root of both sides
2.988=n2

Round to the nearest whole number because n values are always integers --> then you'll get n2=3


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