Question

The magnetic moment of a revolving electron around the nucleus varies with the principal quantum number as which of the following?

(a) μ ∝ n

(b) μ ∝ \(\frac {1}{n}\)

(c) μ ∝ n^2

(d) μ ∝ \(\frac {1}{n^2}\)

I have been asked this question during an interview.

The question is from Atomic Masses and Composition of Nucleus in portion Nucleus of Physics – Class 12

Answer 1

Correct answer is (a) μ ∝ n

To explain: L = \(\frac {nh}{2\pi }\) and μ = \(\frac {eL}{2m}\).

μ = \(\frac {enh}{2m.2\pi }\)

Therefore, μ ∝ n.