In nanomaterials, optical properties such as absorption spectra can change significantly with size due to the quantum effects that become prominent at smaller scales. As the size of the material decreases, the energy levels of the electrons shift, resulting in a change in the material's absorption spectrum. This is because the electronic states are quantized in nanoscale materials, which alters how the material absorbs light.
- Luster is an optical property related to how light interacts with the surface, but it doesn't typically change drastically with size.
- Transparency is a property that can also be influenced by size but not as directly as the absorption spectrum in nanomaterials.
- Density changes due to the material's structure but isn't directly considered an optical property.
Thus, Absorption spectrum is the correct answer as it changes with size in nanomaterials.