Question

examples for dimensionless unitless physical quantity

Answer 1

For example specific gravity and strain both are unitless quantities and hence have no dimensions.

Answer 2

We have to write some examples for dimensionless unitless physical quantity.

Before writing examples, we should go through the meaning of dimensionless unitless physical quantity.

• Dimensionless : It is a quantity which has no physical dimension [ like exponent of M , L , T etc.. ]
• unitless : unitless is the one in which there is no any fundamental physical quantity involved [length , mass , time etc.. ]
• All unitless quantities are dimensionless but all dimensionless can't be unitless. for example, atomic mass is dimensionless quantity but it has unit 'amu'.

some examples for dimensionless unitless physical quantity :

• Coefficient of friction : it is dimensionless as well as unitless. It is the ratio of fricitional force to the normal reaction when object is just put in the ground with inclination.
• Refractive index of a medium : It is also dimensionless as well as unitless. it is the ratio of speed of light in vacuum to the speed of light in the medium.
• Relative density : same here, it is also dimensionless and unitless quantity. It is the ratio of a substance to the density of water at 4°C.
• Strain : It is also dimensionless and unitless quantity. It is the ratio of change in length to the original length.

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