Bohr Model Of The Hydrogen Atom

Step 1: Formula for the radius of Bohr orbit.
The radius

r_n

of the

n%5E%7Bth%7D

Bohr orbit for hydrogen atom is given by the formula:

r_n%20%3D%20n%5E2%20%5Ctimes%20r_1

where

n

is the principal quantum number and

r_1

is the radius of the first Bohr orbit.
Step 2: Calculate the radius for the third Bohr orbit.
For the third Bohr orbit (

n%20%3D%203

) and

r_1%20%3D%2053%20%5C%2C%20%5Ctext%7Bpm%7D

r_3%20%3D%203%5E2%20%5Ctimes%2053%20%3D%209%20%5Ctimes%2053%20%3D%20477%20%5C%2C%20%5Ctext%7Bpm%7D

Thus, the radius of the third Bohr orbit is 159 pm.

Chapter Questions
1 MCQs