Correct: it is a dimensionless number.
infinity
Constant
Relative value is a dimensionless quantity, and so it shouldn't matter what units you want to use, as long as you are consistent.
Yes, the magnitude of a vector is a scalar.
If a quantity is "dimensionless", that means it has no units, and it's just a number.
The unit for the dielectric constant of a medium is a dimensionless quantity as it represents the ratio of the permittivity of the medium to the permittivity of a vacuum.
energy/mass example: calories/gram
No. "Dimensionless" means there are NO units involved.
the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
Correct: it is a dimensionless number.
YES IT IS. Any quantity which is ratio of two physical quantities having same unit is dimensionless. Dielectric constant is ratio of Permittivty of medium to the permittivity of free space. As Permittivity of medium and permittivity of free space both have same units(F/m ie Farad/meter) dielectric constant becomes dimensionless quantity
infinity
No, a dimensionless quantity does not have a unit because it represents a pure number without any physical dimension. Examples of dimensionless quantities include ratios, proportions, and mathematical constants.
Yes, a dimensionless quantity is a quantity that does not have any physical dimensions or units. It is a pure number or ratio that represents a comparison between two quantities. Examples of dimensionless quantities include angles, ratios, and pure numbers like pi.
Constant
Yes, dimensionless quantities are always unitless. This means they do not have any physical units associated with them, and they represent a pure numerical value that is independent of any specific unit of measurement.