Magnetic Moment and Principal Quantum No of electron

[TheOtherPlace]

Homework Statement

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

Homework Equations

mvr = nh/2π

The Attempt at a Solution

i know μ = (qωr² )/ 2

and after that i am substituting values for r and i get μ∝ n² but that is wrong.Help !

 

[Simon Bridge]

Welcome to PF;
How do you know it's wrong?

Doesn't v vary with n also?

 

[TheOtherPlace]

Welcome to PF;
How do you know it's wrong?

Doesn't v vary with n also?

Well it was a MCQ ...the answer is μ ∝ n .

I got it though . Yup , v ∝ 1/n and r ∝ n² . [ r = 0.529 n² / Z Angstrom & v = 2.1 x 10⁶ x Z / n m/s ]

Damn , this was an easy one , should have got it right in the first place ..!