Correct: it is a dimensionless number.
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Relative permittivity and dielectric constant are often used interchangeably, but they can imply different contexts. Relative permittivity (ε_r) is a dimensionless measure of a material's ability to store electrical energy in an electric field, relative to the vacuum. The term "dielectric constant" traditionally refers to this same quantity, but it can sometimes be used more loosely to describe the material's overall insulating properties. Thus, while they represent similar concepts, the terminology can depend on the specific physical context being discussed.
DK measurement is the measurement of the relative dielectric constant of liquids and solid material. It is a measure of permeability.
The dielectric constant varies, depending on the material.
Yes. Conversion factors will generally be dimensionless constants.
Relative value is a dimensionless quantity, and so it shouldn't matter what units you want to use, as long as you are consistent.