Ncert Exercises & Solutions

The gyro-magnetic ratio of an electron in an H-atom, according to the Bohr model, is:

1.	independent of which orbit it is in.
2.	negative.
3.	positive.
4.	increases with the quantum number \(n\).

(a) Hint: Both the angular momentum and the magnetic moment of the electron depend on the quantum no.

Step 1: The angular momentum of the electron is given by;

L = \frac{nh}{2 π}

Step 2: The magnetic moment of the electron is given by;

M = - \frac{neh}{4 πm}

So, the gyro-magnetic ratio =

- \frac{e}{2 m}