I came across two different forms of heisenberg uncertainty:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\Delta x . \Delta p \geq \frac{h}{2 \pi}[/tex]

and

[tex]\Delta x . \Delta p \geq \frac{h}{4 \pi}[/tex]

and I read here in PF both forms are correct. I want to know how we apply both forms in solving problem.

Here is the example:

1. An electron moves with a constant velocity of 1.50 x 106 ms^{-1}. If its momentum is measured to a precision of 0.20 percent, find the minimum uncertainty in its position

2. An electron has kinetic energy 5.00 eV and its momentum is accurate to within 0.0100%. Find the minimum uncertainty in determining the position of this electron.

Both are example questions from two different books. Question 1 is solved using first form and question 2 is solved using second form.

How to determine when to use which form?

Thanks

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# Formula of Heisenberg Uncertainty

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