Range of speeds of particle confined in box

[Linus Pauling]

1. A proton is confined within an atomic nucleus of diameter 3.80 fm. Estimate the smallest range of speeds you might find for a proton in the nucleus.



2. Uncertainty Principle



3. 3.80fm * mv = h/2

Soliving for h, using mass of proton = 1.67*10^-27kg, I obtain v = 5.22*10⁷. Then, dividing by two I obtain a final answer:

0 less than/equal to v less than/equal to 2.6*10⁷

Is this correct?

 

[zachzach]

That is how I would set it up. I got a different answer though. You are using h-bar not h right?

 

[Linus Pauling]

Why h-bar? The uncertainty principle is delta(x)delta(p) greater than/equal to h/2

 

[zachzach]

Why h-bar? The uncertainty principle is delta(x)delta(p) greater than/equal to h/2

Are you sure? Maybe your teacher simplified it? http://en.wikipedia.org/wiki/Uncertainty_principle

http://hyperphysics.phy-astr.gsu.edu/hbase/uncer.html

 

[dc5itr888]

any luck with this question? I have the same question with different values am not sure how to approach it

 

[zachzach]

any luck with this question? I have the same question with different values am not sure how to approach it

Op set it up right he just used h instead of h-bar.