A unitless quantity? | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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?

Similar Questions

Dimensional formula for torque is

The dimensional formula of permeability of free space $\mu_0$ is

The position of a particle at time $t$ is given by the equation $x(t) = \frac{v_0}{A}(1 - e^{-At})$,where $v_0$ is a constant and $A > 0$. The dimensions of $v_0$ and $A$ respectively are:

Which of the following quantities has the same dimensions as that of energy?

Write the magnitude and dimensional formula of $\frac{1}{\sqrt{\mu_0 \epsilon_0}}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module