Help with the Heisenberg uncertainty principle

AI Thread Summary
The discussion centers on applying the Heisenberg uncertainty principle to estimate the energy uncertainty of a proton within a nucleus of diameter 1.0 x 10^-14m. The user initially struggles with how to transition from uncertainty in position to uncertainty in energy due to a lack of provided values for time and momentum. They clarify that the uncertainty in position (delta x) can be considered as the diameter of the nucleus. Ultimately, the user successfully solves the problem by using the uncertainty relation to find momentum, then velocity, and finally energy. This exchange emphasizes the importance of understanding the relationships between position, momentum, and energy in quantum mechanics.
Bazanaka
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Today I was assigned a question (that is due tomorrow) and I currenlty have very little idea how to solve it... Any help to get me started here would be greatly appreciated.
1. Use the uncertainty principle to estimate the uncertainty in energy of a proton confined to a nucleus 1.0 x 10^-14m in diameter.

Here are the equations we were given
2. (delta x)(delta p) >= h/2pi
(delta E)(delta t) >= h/2pi



To try and solve it I wasn't really sure where to start because we weren't given the uncertainty in time or the uncertainty in momentum so I am not sure how I can make the transition to energy

Any help will be greatly appreciated. I do not need someone to solve this for me, please just point me in the right direction so I can learn the material.
 
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momentum is proportional to velocity which is distance/time

maybe?
 
How would I figure out the uncertainty in for delta x? I am given that a nucleus is 1.0 x 10^-14m in diameter but I am unsure if the uncertainty would be that whole value or what it is.
 
well you know it isn't outside the nucleus.

where exactly inside the nucleus would you expect it to be?
 
I solved it, just thought I should respond so that people didnt continue to post. Incase anyone has trouble with this type of the question in the future:
I used (delta x)(delta p)=h/(4pi)
then using the value of (delta p) found the (delta v)
then using the (delta v) was able to find (delta E) using a variation of the EK=1/2mv^2 formula, (delta E)=1/2m(delta v)^2. I hope my misery helps someone lol...
 
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