Question

# The wavefunctions for a particle in a box are given by: ψn(x) = (2/L)^1/2 sin(nπx/L), with...

The wavefunctions for a particle in a box are given by: ψn(x) = (2/L)^1/2
sin(nπx/L), with n=1,2,3,4. . . .
Let’s assume an electron is trapped in a box of length L = 0.5 nm. (a) Light of what wavelength is needed to
excite the electron from the ground to the first excited state? (b) Will that wavelength increase or decrease,
if you exchange the electron with a proton? Why?

The problem is solved as follows.

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