Question

Quick Substitution Question

Answer 1

In my textbook I am given

\(E = -\frac{e^{2} }{ 8\pi \epsilon _{0}r }\) and \[r = \frac{ 4\pi \epsilon_{0}\hbar^{2}n^{2} }{ me^{2} }\] and I'm told to substitute r into E to get \[E = -\frac{ me^{4} }{ 8\epsilon_{0}h^{2}n^{2} }\]

confused about some of the unit cancellation at the bottom because I'm getting something slightly different for E

Answer 2

of course, after I typed it out I realized the 2pi is eliminated by substituting h/2pi for h-bar ugh

Answer 3

I got it >>