## Homework 1B.25

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

Ellis Song 4I
Posts: 102
Joined: Thu Jul 11, 2019 12:17 am

### Homework 1B.25

What is the minimum uncertainty in the speed of an electron confined within a lead atom of diameter 350. pm? model the atom as a one-dimensional box with a length equal to the diameter of the actual atom.

I know that I am supposed to use the uncertainty equation for this but I am not sure where to begin. All I've done is convert picometers to meters but I don't know what I'm supposed to do with the equation and the solutions manual isn't making much sense to me.

Anne Tsai 1F
Posts: 50
Joined: Thu Jul 25, 2019 12:15 am

### Re: Homework 1B.25

We know that we are solving for uncertainty in speed, so we rearrange the uncertainty equation in terms of delta v. H bar and the mass of an electron are given values, and delta x is 350 pm or 350 x 10^-12 m because we know that the electron must be traveling within the diameter of the atom. If you plug in the known values and constants, your equation setup should be 1/2 * [1.054 x 10^-34 Js/(9.109 x 10^-31 kg)(350 x 10^-12 m)].