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Electron confined in a one dimensional box

  • Thread starter tboyers
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  • #1
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Homework Statement


An electron confined in a one-dimensional box is observed, at different times, to have energies of 27 eV , 48 eV , and 75 eV .
What is the length of the box? Hint: Assume that the quantum numbers of these energy levels are less than 10.

Homework Equations



E=h^2n^2/(8mL^2)

The Attempt at a Solution


I tried using that equation to solve for length, but I dont know what energy levels these are at, so i cant seem to solve it.
 

Answers and Replies

  • #2
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I tried using that equation to solve for length, but I dont know what energy levels these are at, so i cant seem to solve it.
energy of the states are proportional to n^2/L^2 and you have energies for three states so can you find out L?
 

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