Physics

A unitless quantity 


ANSWER

never has a non zero dimension


SOLUTION
Dimensions of a quantity are those power to which the fundamental quantities are raised and then multiplied  among each other to become equal to the quantity which we are dealing. A unit less quantity is the one in which there are no fundamental quantities involved. It doesn't have any unit and hence it doesn't have any dimensions. The dimension is Zero. Examples are, angle, elastic strain, Poisson's ratio etc. 
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