## Textbook 1B.25

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

derinceltik1K
Posts: 51
Joined: Sat Aug 17, 2019 12:15 am

### Textbook 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.

Can someone explain the question? I could not manage to express "uncertainty in the position of the electron is equal to the diameter of the lead atom" mathematically.
Thank you

Nick Fiorentino 1E
Posts: 102
Joined: Wed Sep 18, 2019 12:16 am

### Re: Textbook 1B.25

The equation for the uncertainty equation is (delta p)(delta x)>(h)/(4pi), where h is planck's constant of 6.63x10^-34, delta p is the spread in values of momentum, and delta x is the spread in values of distance.

Hopefully that helps with the mathematical representation.