What is the Orbit of Hydrogen Atom for an Electron at 734 km/s?

[gruba]

Homework Statement

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

Homework Equations

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

The Attempt at a Solution

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

Question: What is the value of radius of orbit of electron, $r$?

If we set that $r=0.0529 nm$, then we get $n=0.053$ and $n$ should be positive integer.

 

[DrClaude]

If we set that $r=0.0529 nm$

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 $v$.

 

[gruba]

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?

 

[DrClaude]

You can use the equation that balances the centripetal force and the Coulomb force. Don't you have that equation in your notes/textbook?