Bohr model

  • #1
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Homework Statement


On which orbit of hydrogen atom an electron has the speed of [itex]734 km/s[/itex]?

Homework Equations


Bohr's second postulate: [itex]mvr=nh,m=9.109\cdot 10^{-31}kg,v=734 km/s,h=6.626\cdot 10^{-34} m^{2}kg/s[/itex]

The Attempt at a Solution


By using the second Bohr's postulate, we get [tex]6686.006\cdot 10^{-28}r=6.626\cdot 10^{-34}n[/tex]

Question: What is the value of radius of orbit of electron, [itex]r[/itex]?

If we set that [itex]r=0.0529 nm[/itex], then we get [itex]n=0.053[/itex] and [itex]n[/itex] should be positive integer.
 

Answers and Replies

  • #2
DrClaude
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If we set that [itex]r=0.0529 nm[/itex]
That value is for the first Bohr orbit, ##n=1##. For ##n > 1##, the radius is bigger. You need another equation relating ##r## to ##n## or ##r## to ##v##.
 
  • #3
208
1
That value is for the first Bohr orbit, ##n=1##. For ##n > 1##, the radius is bigger. You need another equation relating ##r## to ##n## or ##r## to ##v##.
What is that equation?
 
  • #4
DrClaude
Mentor
7,505
3,786
You can use the equation that balances the centripetal force and the Coulomb force. Don't you have that equation in your notes/textbook?
 

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