Question

Identify the orbits in the Bohr Model of the Hydrogen atom responsible for each quantum
state. The Bohr Model provides that the radius of the electron’s orbit is given by:

r = 0.529 x n 2 [Angstroms] (Eq. 8)

where n is the state’s quantum number. Calculate the radius of each of these orbits.

Answer 1

r = 0.529 x n^2A⁰

n = 1 for first orbit

r = 0.529 x (1)^2A⁰   

   = 0.529A⁰

n = 2 for second orbit

r = 0.529 x (2)^2A⁰   

   =2.116A⁰

n = 3 for third orbit

r = 0.529 x (3)^2A⁰   

= 4.761A⁰

n = 4 for fourth orbit

r = 0.529 x (4)^2A⁰   

= 8.464A⁰