(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A proton is confined in a uranium nucleus of radius 7.43 fm. Determine the proton’s minimum kinetic energy K ≥ ∆K according to the uncertainty principle if the proton is well approximated by a Gaussian wave packet confined by the nuclear diameter.

2. Relevant equations

[tex]K_{min}\geq\frac{\hbar^2}{2ml^2}[/tex]

[tex]l=2*7.43fm=14.86*10^-15m[/tex]

[tex]m=m_{p}=1.6726*10^-27kg[/tex]

[tex]\hbar=1.0546*10^-34J*s[/tex]

3. The attempt at a solution

I think my problem is that i might be using incorrect equations or i'm messing up with units somewhere. I put in the values above into the first equation and got

[tex]K_{min}\geq\frac{\hbar^2}{2ml^2}=\frac{(1.0546*10^-34J*s)^2}{2*1.6726*10^-27kg*(14.86*10^-15m)^2}=1.5056*10^-14J[/tex]

and my web homework program is telling me the answer is incorrect. can anyone lead me in the correct direction please?

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# Homework Help: Kinetic Energy and Uncertainty Principle

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