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## Homework Statement

A proton is confined in a uranium nucleus of radius 7.41 fm. Determine the proton's minimum kinetic energy K less than or equal to delta K according to the uncertainty principle if the proton is well approximated by a Gaussian wave packet confined by the nuclear diameter.

## Homework Equations

change in momentum * change in x is greater than or equal to h(bar)/2

I don't know

## The Attempt at a Solution

I found the minimum change in momentum but can't seem to relate that to the minimum KE. I tried change KE= change in p*c but that was wrong.

since it is confined by the diameter do I times the radius by 2? Thats how I did it.

dx=14.82E-15 m

h(bar)/2=1.0546E-34/2=5.273E-35

5.273E-35/14.82E-15= 3.54E-21

3.54E-21*3E8= 1.0674E-12 J

But this is wrong and I don't have a clue as to why. Can someone help me out please?