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## Homework Statement

An electron is trapped in a finite well of width 0.5 nm and depth of 50 eV. The wavefunction is symmetric about the center of the well (x = 0.25 nm). If the electron has energy 29.66 eV and ψ(0) = 1.42 (nm)-1/2, then what is the probability for finding the particle in the left half of the well (0 < x < 0.25 nm)?

## Homework Equations

Schrodinger's Equation in the classically forbidden zone: C

_{1}e

^{kx}+ C

_{2}e

^{-kx}

## The Attempt at a Solution

My idea was that because the probability density from negative infinity to .25 nm (L/2) would be .5, I could simply find p(<0) by integrating Schrodinger's equation and subtracting that from .5. However I cannot find K.

I know the equation for K is [tex]\sqrt{2m/(h/2\Pi)^2(U-E)}[/tex] and it seems like I've been given those 4 variables. However my homework will not accept my answer for K. For reference I've been getting k = 9.25 nm^-1.