Which of the following physical quantities ha | vedclass

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(D) physical quantity is dimensionless if its dimensional formula is $[M^0L^0T^0]$.Relative velocity is the ratio of two velocities,so it is dimension

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Angle

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(D) physical quantity is dimensionless if its dimensional formula is $[M^0L^0T^0]$.Relative velocity is the ratio of two velocities,so it is dimensionless and unitless.Relative density is the ratio of the density of a substance to the density of water,so it is dimensionless and unitless.Strain is the ratio of change in dimension to the original dimension,so it is dimensionless and unitless.Angle is defined as the ratio of arc length to radius,i.e.,$	heta = \frac{s}{r}$.Since both arc length and radius have the dimension of length $[L]$,the angle is dimensionless: $[M^0L^0T^0]$.However,the $SI$ unit of angle is the radian,which is a unit.Therefore,angle is the physical quantity that has a unit but no dimensions.

Which of the following physical quantities has a unit but no dimensions?

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