C

Step 1: Understand magnetic susceptibility. Magnetic susceptibility ($\chi$) is a measure of how much a material will become magnetized in an applied magnetic field. It varies with temperature due to changes in the material's thermal energy and magnetic ordering.

Step 2: Analyze the options.
- Ferrite substances: These are mixed oxide ceramics, often exhibiting ferromagnetism at moderate temperatures. Their susceptibility is temperature-dependent due to changes in magnetic domains.
- Ferromagnetic substances: These materials exhibit strong magnetism and their susceptibility varies significantly with temperature. Curie temperature is a critical temperature for ferromagnets above which they lose their ferromagnetic properties.
- Diamagnetic substances: These materials are characterized by a very weak negative susceptibility, which does not depend on temperature. The diamagnetic effect arises from the induced magnetic fields in the presence of an external magnetic field and is generally temperature-independent.
- Paramagnetic substances: These have a positive but weak susceptibility and this susceptibility is temperature-dependent, usually following Curie's Law which states that susceptibility varies inversely with temperature.

Step 3: Conclusion. Since diamagnetic materials do not exhibit any temperature dependence in their magnetic susceptibility, the correct answer is:
Therefore, the answer is C.