Post Module Problem

$\Delta p \Delta x\geq \frac{h}{4\pi }$

Michael Du 1E
Posts: 117
Joined: Sun Sep 22, 2019 12:16 am

Post Module Problem

What would the uncertainty of position be for this problem? "The hydrogen atom has a radius of approximately 0.05 nm. Assume that we know the position of an electron to an accuracy of 1 % of the hydrogen radius, calculate the uncertainty in the speed of the electron using the Heisenberg uncertainty principle.
Comment on your value obtained." Thank you!

Jessica Tejero 3L
Posts: 54
Joined: Wed Sep 25, 2019 12:16 am

Re: Post Module Problem

The size of the atom represents the uncertainty in position. The radius of the atom represents 1/2 of the uncertainty of the position of the electron, the diameter equaling the entire uncertainty. Use this and the mass of an electron and the constant h/4pi to calculate delta-v, or the uncertainty in the electron's speed.