What is the speed of an electron in the Bohr model of the hydrogen atom?

[iamkristing]

[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!

 

[hage567]

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

Why is this a 4 instead of an 11?

 

[iamkristing]

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.