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Heisenberg's uncertainty principle, find uncertainty in position 
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#1
Sep3011, 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 (5.00±0.01) 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)(5±0.01 * 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 (: 


#2
Oct111, 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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