(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Kinetic Energy and Uncertainty Principle

**Physics Forums | Science Articles, Homework Help, Discussion**