1B.25

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Annie Ye
Posts: 106
Joined: Wed Sep 18, 2019 12:22 am

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.

VLi_2B
Posts: 99
Joined: Sat Sep 14, 2019 12:15 am

Re: 1B.25

You should use Heisenberg's Indeterminacy Equation, delta p x delta x >= h/(4pi)
First, change the diameter from 350pm to meters, 3.50 x 10^-10 m. Then plug in all known values into the Heisenberg equation to solve for Delta p.
delta p = 6.63x10^-34/ (4pi x 3.50x10^-10m)
Then, just use delta p = delta velocity x mass to get the answer.

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

Re: 1B.25

For this problem you use the equation $\Delta p\Delta x=\frac{h}{4\pi}$ but you break up $\Delta p$ into (mass of the electron)x$\Delta v\Delta x= \frac{h}{4\pi }$

You can then plug in all your known variables and solve for $\Delta v$

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