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
It depends on the element that you are using, and what state the electron is in. In general this is a dimensionless constant that is derived out of the quantum j, i, and f numbers that governs Zeeman Splitting
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the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
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Angles are not dimensionless.
Correct: it is a dimensionless number.
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.
A dimensionless number has no units. The units of all variables that compose the dimensionless number (product or ratio) must cancel each other.
If a quantity is "dimensionless", that means it has no units, and it's just a number.
Yes. Conversion factors will generally be dimensionless constants.
energy/mass example: calories/gram
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Yes.
No. "Dimensionless" means there are NO units involved.