A unitless quantity? | vedclass

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(C) Dimensions of a physical quantity are the powers to which the fundamental units must be raised to represent the given physical quantity. By defini

Vedclass · Accepted Answer

Never has a nonzero dimension

Vedclass · Answer

(C) Dimensions of a physical quantity are the powers to which the fundamental units must be raised to represent the given physical quantity. By definition,a unitless quantity is one that does not have any units of measurement. Since units are derived from fundamental quantities,if a quantity has no units,it implies that the powers of all fundamental quantities (like $M, L, T$) are zero. Therefore,a unitless quantity is always dimensionless. Examples include angle (ratio of arc length to radius),elastic strain (ratio of change in length to original length),and Poisson's ratio.

$A$ unitless quantity?

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