Question

According to Bohr’s principle, what is the relation between the principal quantum number and the radius of the orbit?

(a) r proportional to \(\frac {1}{n}\)

(b) r proportional to \(\frac {1}{n^2}\)

(c) r proportional to n

(d) r proportional to n^2

The question was asked by my school teacher while I was bunking the class.

Query is from Alpha-Particle Scattering and Rutherford’s Nuclear Model of Atom in chapter Atoms of Physics – Class 12

Answer 1

The correct option is (d) r proportional to n^2

The best explanation: The equation is given as:

r = \(\frac {n^2 h^2}{4\pi^2 m k Z e^2}\)

Therefore, we can say that the radius of the orbit is directly proportional to the square of the principal quantum number.