gyro-magnetic ratio of a particle is given by .

And angular moment of electron = where,

n is the quantum number;

h is Planck’s constant;

Magnetic moment of electron in H-atom = where,

n is the quantum number;

h is Planck’s constant;

e is charge of electron;

m is mass of electron.

So, gyro-magnetic ratio of a particle is given by

⇒

⇒ …(i)

⇒ gyro-magnetic ratio of electron in h-atom is constant.

So, from (i) we can say that gyro-magnetic ratio of an electron in H-atom according Bohr-model is independent of the quantum number n and the orbit in which it is. And, will be negative as the charge of electron is a negative value.

Hence our answers are option (a) and (b).