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## Homework Statement

Using the uncertainty principle, estimate the minimum energy in electron volts of an electron confined to a spherical region of radius 0.1nm.

## Homework Equations

delta-x * delta-p = h-bar / lamda

delta-y * delta-p = h-bar / lamda

delta-z * delta-p = h-bar / lamda

Energy = 0.5* p^2 / m

p = momentum

m = mass of electron

## The Attempt at a Solution

By letting the uncertainty in position (delta-x, delta-y, delta-z) equal to r, I got 2.86eV :

Total energy = 3/8 * (h-bar^2 / r^2 * m)

But the answer should be ~ 10ev.