AIIMS 2019 Physics Bohr Model MCQ Question

In a hydrogen atom, the magnetic field at the center due to the orbital motion of the electron can be calculated using the formula $B = \frac{\mu_0 I}{2r}$, where $\mu_0$ is the permeability of free space, $I$ is the current equivalent of the electron's motion, and $r$ is the radius (Bohr's radius $r_0 = 5 \times 10^{-11} \, \text{m}$). For the ground state, the current $I$ can be derived from the electron's charge and orbital frequency, leading to a magnetic field of approximately 13.95 T, which corresponds to option C.

Options A (15.20 T), B (10.90 T), and D (20.00 T) are incorrect as they do not align with the calculated magnetic field based on the parameters of the hydrogen atom in its ground state, indicating either miscalculations or incorrect assumptions about the electron's behavior in the atom.