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## Homework Statement

What is the length of a one-dimensional box in which an electron in the n=1 state has the same energy as a photon with a wavelength of 500 nm

## Homework Equations

E=h^2/8mL^2 and E=hc/lambda

making it

L=sqrt( (h*lambda)/(8cm) )

## The Attempt at a Solution

I plugged in for those numbers and did not come out with the correct number. any suggestions?