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Speed of electrons

  • #1
[SOLVED] speed of electrons

Homework Statement



In the Bohr model of the hydrogen atom, an electron circles a proton at a radius of 5.3e-11 m. How fast must the electron be moving if the centripetal acceleration is to be supplied by Coulombic attraction?

Homework Equations



L=n(h/2pi) where h is plancks constant and n is an integer

L=rmv


The Attempt at a Solution



n(h/2pi)=rmv

v=n(h/2pi)/(rm)

v= n(6.63e-34/2pi)/(5.3e-4)(9.11e-31)

v= 0.218n m/s

Now that velocity seems way to small for a speed of an electron....

Any help is appreciated! Thanks!
 

Answers and Replies

  • #2
hage567
Homework Helper
1,509
2
v= n(6.63e-34/2pi)/(5.3e-4)(9.11e-31)
Why is this a 4 instead of an 11?
 
  • #3
Thank you....My 11 looked like a 4 in my notes...simple mistakes can kill you! haha

I got a very large velocity now so the answer makes more sense.
 

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