Physics question 24 hw 12 (if you answer please include work!)


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According to the Bohr model, what is the radius of a hydrogen atom when its electron is excited to the n = 9 state?
Question 24 options:
Jul 24th, 2015

Thank you for the opportunity to help you with your question!

According to the Borh theory the radius of the hydrogen atom to the n state is:

Rn = (n^2)*ao ;  where ao = 0.0529 x 10^-9 m

So for n = 9 then we have:

R9 = (9^2)*(0.0529 x 10^-9 m) = (81)*(0.0529 x 10^-9 m) = 4.2849 x 10^-9 m

Final answer: R9 = 4.28 x10^-9 m, so it's option A.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 24th, 2015

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Jul 24th, 2015
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