Question

What is the linear momentum of the electron in a Bohr hydrogen atom in the second excited state? ( kg m/s)

Answer 1

The angular momentum of the electronn in a hydrogen atom is quantized. And according to the Bohr's quantization formula, we get
  
So, if we denote the linear momentum in the nth state by
  , then , we get
  
So, we get
  
And from the Bohr's radius formula for n-th state is
  
where, a_0 is the Bohr radius of the ground state of the hydrogen atom.
So,
  

So, the second excited state n = 3. So, we get
the linear momentum of the electron in a Bohr hydrogen atom in the second excited state is