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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?

**Assume that the quantum numbers of these energy levels are less than 10.**

*Hint:*## Homework Equations

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

## The Attempt at a Solution

I tried using that equation to solve for length, but I don't know what energy levels these are at, so i can't seem to solve it.