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The \"size\" of the atom in Rutherford\'s model is about 1.0 10-10 m. a) Determi

ID: 2067154 • Letter: T

Question

The "size" of the atom in Rutherford's model is about 1.0 10-10 m.
a) Determine the speed of an electron moving about the proton using the attractive electrostatic force between an electron and a proton separated by this distance.
(b) Compute the de Broglie wavelength of the electron as it moves about the proton.

I'm sorry i know i'm only supposed to post one ques. at a time but i'm desperate to get an answer asap for both. Please show work. I want to be able to do it myself after. Thanks so much in advance.

Explanation / Answer

a)force=ke^2/r^2=mv^2/r
v^2=ke^2/(mr)=2.5x10^12
v=1580562.5 m/s
b)=h/p

=4.6 Ao

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