## 1.43 [ENDORSED]

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

Emily 1E
Posts: 27
Joined: Fri Apr 06, 2018 11:03 am

### 1.43

"What is the minimum uncertainty in the speed of an electron confined to 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."

What does the second part of the question mean? What's the significance of having a one-dimensional box with the length of an actual atom?

Mei Blundell_1J
Posts: 32
Joined: Fri Apr 06, 2018 11:01 am
Been upvoted: 1 time

### Re: 1.43  [ENDORSED]

The second part just means that the uncertainty in the electron's position is the diameter of the atom. In other words, the electron can occupy any position along this imaginary 350 pm long 1D box (which is a line). The book uses this box analogy that's kind of confusing, but that's what it means for the question.