Bohr S Model For Hydrogen Atom

Bohr's formula for the radius of an electron in an atom is:

r_n%20%3D%200.529%20%5C%2C%20%5Cfrac%7Bn%5E2%7D%7BZ%7D%20%5C%2C%20%5Ctext%7B%C3%85%7D

where:
-

n

is the principal quantum number,
-

Z

is the atomic number.
For

%5Ctext%7BBe%7D%5E%7B3%2B%7D

Z%20%3D%204

and

n%20%3D%202

.
Substituting these values into the formula:

r_2%20%3D%200.529%20%5Ctimes%20%5Cfrac%7B2%5E2%7D%7B4%7D%20%3D%200.529%20%5Ctimes%20%5Cfrac%7B4%7D%7B4%7D%20%3D%200.529%20%5C%2C%20%5Ctext%7B%C3%85%7D%20%3D%2052.9%20%5C%2C%20%5Ctext%7Bpm%7D

Thus, the radius of

%5Ctext%7BBe%7D%5E%7B3%2B%7D

when

n%20%3D%202

is 52.90 pm.

Chapter Questions
1 MCQs