MHT CET20225 Aug 2022Evening ShiftPhysicsAtomic PhysicsActual
The magnetic moment ( m _ orb ) of a revolving electron around the nucleus varies with the principal quantum number (n) as
Options
- Am _ orb n ^2
- Bm _ orb 1 n ^2
- Cm _ orb 1 n
- Dm _ orb n
Correct answer
D. m _ orb n
Step-by-step solution
Orbital magnetic moment can be defined as, m _ orb = iA where, i = e T , r is the radius of the Bohr orbit, A = r ^2 is the area and T is the time period of uniform circular motion. Now, we can make use of the Bohr's hypothesis about angular momentum: On plugging in above into equation (1), m _ orb = neh 4 m Orbital magnetic moments of an electron in Bohr orbit is given by, aligned & m _ orb = n ( eh 4 m ) & m _ orb n aligned