To understand the behavior of materials under the influence of a magnetic field, we need to consider the magnetic dipole moments of different types of magnetic materials: diamagnetic, paramagnetic, and ferromagnetic.
- Diamagnetic Materials: These materials create an induced magnetic field in a direction opposite to that of an externally applied magnetic field, thus leading to a very weak repulsion by the magnetic field. Importantly, a key characteristic of diamagnetic materials is that they have no inherent magnetic dipole moments. Consequently, the net magnetic dipole moment $\mu_d$ of a diamagnetic atom is zero. Hence, $\mu_d = 0$.
- Paramagnetic Materials: These materials contain unpaired electrons, leading to non-zero individual atomic magnetic moments. These moments can align with an external magnetic field, resulting in a net magnetic dipole moment in the direction of the field. Therefore, for paramagnetic materials, $\mu_p \ne 0$.
- Ferromagnetic Materials: These materials have magnetic moments that can be aligned in the same direction due to a strong interaction between adjacent atomic moments. This results in a substantial net magnetic dipole moment. Thus, for ferromagnetic materials, $\mu_f \ne 0$.
Considering the above properties:
- Diamagnetic materials have $\mu_d = 0$.
- Paramagnetic materials have $\mu_p \ne 0$.
- Ferromagnetic materials have $\mu_f \ne 0$.
Based on this understanding, the correct option is: $\mu_d=0$ and $\mu_p \ne 0$, which aligns with the inherent magnetic properties of these materials.
Conclusion: The characterizations of magnetic dipole moments for diamagnetic and paramagnetic materials provide the basis for selecting the correct answer.