AIIMS 2019 Physics Magnetic Dipole Moment MCQ Question

The magnetic dipole moment $M$ is derived from the formula $M = i \times \pi r^2$, where $i$ is the current and $r$ is the radius of the loop. In this case, substituting $i$ with $\frac{2e}{2\pi r}$ (where $e$ is the elementary charge) leads to $M = evr$, indicating that the dipole moment is directly proportional to the charge $e$, the velocity $v$, and the radius $r$.

Options (1), (3), and (4) do not accurately reflect the relationship derived from the equations, as they either misrepresent the variables involved or fail to capture the proportionality of $M$ to $evr$. Understanding this relationship is crucial for analyzing magnetic effects in charged particle systems.