Which Bohr orbit does the electron occupy in this atom?

AI Thread Summary
The discussion revolves around determining the Bohr orbit occupied by an electron in a hydrogen atom with a given potential energy of -2.72 x 10^-19 J. Participants explore the equations for potential energy and radius in Bohr's model, specifically U = -ke^2/r and U = -ke^2/(n^2 r), to find the correct orbit. There is confusion regarding the calculations, as attempts to solve for the radius yield unexpected results. The conversation also touches on how moving to a higher orbit affects potential energy, prompting questions about whether it increases or decreases. Overall, the thread seeks clarity on the application of Bohr's equations in this context.
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Homework Statement



he potential energy of a hydrogen atom in a particular Bohr orbit is -2.72 10-19 J.
(a) Which Bohr orbit does the electron occupy in this atom?
(b) Suppose the electron moves away from the nucleus to the next higher Bohr orbit. Does the potential energy of the atom increase, decrease, or stay the same?
(c) Calculate the potential energy of the atom for the orbit referred to in part (b).

Homework Equations



U=-ke^2/r
r=n^2 r
U=-ke^2/(n^2 r)

The Attempt at a Solution



I tried plugging in my numbers into the first equation and solving for r, but I got a really weird number with a very large negative exponent. I then tried plugging the numbers into the third equation (which is just a combination of the first two equations), and I got another really weird number. Am I not supposed to be using these equations?
 
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