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1. The problem statement, all variables and given/known data

An electron moves with a speed of v = [tex]10^{-4}[/tex]c inside a one-dimensional box of length 48.5nm. The potential is infinite elsewhere. What is the approximate quantum number of the electron?

2. Relevant equations

[tex]E_{n} = \frac{n^{2}\pi^{2}\hbar^{2}}{2mL^{2}}[/tex]

n = 1, 2, 3, . . .

[tex]E = \gamma mc^{2}[/tex]

3. The attempt at a solution

I was trying to solve it by finding the total energy of the electron, then using the first equation I stated using the total energy as "En". Then I would try and solve for n but I get a very different number. The answer is supposed to be 4.

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# Homework Help: What is the approximate quantum number of the electron?

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