Q4 of 35 Page 9

A dimensionless quantity

A unit need not always mean a physical unit. so a dimensionless quantity will always be independent of the base unit → meter, second, kilogram, Kelvin, candela, mole, ampere.


but there are other quantities that are dimensionless, but have a unit. for an example radian is the unit for an angle, but it is dimensionless because it is defined to be the ratio of two length

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A physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numerical value. If the result is expressed in various units then

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Suppose a quantity x can be dimensionally represented in terms of M, L and T, that is, [x] = Ma Lb Tc . The quantity mass

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A unit-less quantity

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The value of n is