If a quantity is "dimensionless", that means it has no units, and it's just a number.
"Dimensionless" means it doesn't have a unit.
Efficiency is a dimensionless quantity, i.e. it's just a number, without any unit.
energy/mass example: calories/gram
the dimensionless numbers have the definition as that of dimensionless groups, and have all the properties which dimensionless groups have.
No. "Dimensionless" means there are NO units involved.
Strain is dimensionless quantity because strain is the ratio of the same quantities like change in length/original length,,change in volume/original volume. e.g tensile strain=(change in length)/(original length)=m/m (S.I unit) so its a dimensionless quantity.
infinity
Angles are not dimensionless.
Yes. Conversion factors will generally be dimensionless constants.
A dimensionless quantity is one that has only a number, not a unit, and should therefore be the same in any system of units. This often happens when a quantity is the ratio of two measurements of the same kind. For example, the index of refraction can be considered the ratio of two speeds (the speed of light in a vacuum, and the speed of light in the corresponding substance); if both speeds are expressed in meters/second, when taking the ratio, the units disappear, and only a number without units - a "dimensionless" unit - remains. If you convert the speeds in this example to some other unit, for example kilometers per second, both speeds will be a thousand times less; but the ratio will still be the same.
No. A decibel is one tenth of a bel. The decibel is a logarithmic unit of measurement that expresses the magnitude of a physical quantity relative to a specified reference level. It is a dimensionless unit, because it expresses a ratio of two quantities with the same unit.
From the Wikipedia article about the radian: "The unit was formerly a SI supplementary unit, but this category was abolished in 1995 and the radian is now considered a SI derived unit." The radian can be derived as the ratio between two lengths. That makes it a dimensionless unit.