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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

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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.

List-$I$	List-$II$
$A$. Coefficient of viscosity	$I$. $[ML^{-1}T^{-2}]$
$B$. Surface tension	$II$. $[ML^2T^{-2}]$
$C$. Pressure	$III$. $[ML^0T^{-2}]$
$D$. Surface energy	$IV$. $[ML^{-1}T^{-1}]$

$A$ unitless quantity?

Similar Questions

If $G$ is the gravitational constant and $u$ is the energy density,then which of the following quantities has the same dimensions as $\sqrt{uG}$?

Write the dimensional formula of the Rydberg constant $(R)$.

The dimensions of Planck's constant and angular momentum are respectively:

Match List-$I$ with List-$II$.
List-$I$ List-$II$
$A$. Coefficient of viscosity $I$. $[ML^{-1}T^{-2}]$
$B$. Surface tension $II$. $[ML^2T^{-2}]$
$C$. Pressure $III$. $[ML^0T^{-2}]$
$D$. Surface energy $IV$. $[ML^{-1}T^{-1}]$

Choose the correct answer from the options given below:

Identify the pair of physical quantities that have the same dimensions.

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