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Heisenberg's uncertainty principle, find uncertainty in position

by Glissando
Tags: heisenberg, position, principle, uncertainty
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Sep30-11, 11:39 PM
P: 34
1. The problem statement, all variables and given/known data
Using Heisenberg's uncertainty principle, calculate the uncertainty in the position of a proton moving at a speed of (5.000.01) x 10^4 m/s.

2. Relevant equations
Δx[itex]\geq[/itex] [itex]\frac{h}{4mΔv\pi}[/itex]

3. The attempt at a solution
x[itex]\geq[/itex] (6.626*10^-34)/(4pi(1.6726*10^-24)(50.01 * 10^4)

I get how to solve it, I just don't really understand what to do with the 0.01. I'm assuming it's in meters, so I have to do 0.01/5 and then multiply that by 5*10^4, but I'm supposed to be getting 3*10^-10

Thanks in advance (:
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Oct1-11, 05:09 AM
P: 111
The formula says [itex]\Delta x=\frac{h}{4\pi m\Delta v}[/itex]
What is [itex]\Delta v[/itex]? Is it a relative or an absolute uncertainty?

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