Sorry for the other post, I clicked post by mistake(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Find the minimum uncertainty in the length of the year

2. Relevant equations

[tex]\Delta[/tex]Px >= [tex]\hbar[/tex]/(2[tex]\Delta[/tex]x

3. The attempt at a solution

I did:

[tex]\Delta[/tex]t = ((([tex]\Delta[/tex]xt)/x)[tex]^{}2[/tex]+((xm)/[tex]\Delta[/tex]Px)[tex]^{}2[/tex])[tex]^{}.5[/tex]

and then because of the uncertainty principle:

[tex]\Delta[/tex]t =((([tex]\Delta[/tex]xt)/x)[tex]^{}2[/tex]+((2xm[tex]\Delta[/tex]x)/[tex]\hbar[/tex])[tex]^{}2[/tex])[tex]^{}.5[/tex]

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

thanks a lot

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# Homework Help: Heisenberg uncertainty principle

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