# Heisenberg uncertainty principle

1. Sep 22, 2007

### lyra87

Sorry for the other post, I clicked post by mistake

1. The problem statement, all variables and given/known data
Find the minimum uncertainty in the length of the year

2. Relevant equations
$$\Delta$$Px >= $$\hbar$$/(2$$\Delta$$x

3. The attempt at a solution
I did:
$$\Delta$$t = ((($$\Delta$$xt)/x)$$^{}2$$+((xm)/$$\Delta$$Px)$$^{}2$$)$$^{}.5$$

and then because of the uncertainty principle:
$$\Delta$$t =((($$\Delta$$xt)/x)$$^{}2$$+((2xm$$\Delta$$x)/$$\hbar$$)$$^{}2$$)$$^{}.5$$

then I took the derivative dt/d$$\Delta$$x to minimize the function. But $$\Delta$$x canceled, and I don't get the correct value for h-bar, so I think I did something wrong.

thanks a lot

Last edited: Sep 22, 2007