Which physical quantities have the same dimen | vedclass

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

Question

(A) The dimension of a physical quantity is given by the powers to which the fundamental units are raised.$(a)$ Couple of force (Torque) = $|\overrigh

Vedclass · Accepted Answer

Couple of force and work

Vedclass · Answer

(A) The dimension of a physical quantity is given by the powers to which the fundamental units are raised.$(a)$ Couple of force (Torque) = $|\overrightarrow r 	imes \overrightarrow F | = [M^1 L^2 T^{-2}]$Work = $|\vec F \cdot \vec d| = [M^1 L^2 T^{-2}]$Since both have the same dimensional formula $[M^1 L^2 T^{-2}]$,they have the same dimension.$(b)$ Force = $[M^1 L^1 T^{-2}]$,Power = $[M^1 L^2 T^{-3}]$. They are different.$(c)$ Latent heat = $[L^2 T^{-2}]$,Specific heat = $[L^2 T^{-2} K^{-1}]$. They are different.$(d)$ Work = $[M^1 L^2 T^{-2}]$,Power = $[M^1 L^2 T^{-3}]$. They are different.Therefore,the correct option is $A$.

$\text{LIST-I}$	$\text{LIST-II}$
$A$. Boltzmann constant	$I$. $ML^2 T^{-1}$
$B$. Coefficient of viscosity	$II$. $MLT^{-3} K^{-1}$
$C$. Planck's constant	$III$. $ML^2 T^{-2} K^{-1}$
$D$. Thermal conductivity	$IV$. $ML^{-1} T^{-1}$

Which physical quantities have the same dimension?

Similar Questions

Identify the incorrect statement among the following.

$A$ scalar quantity is one that

In a new system,the unit of mass is $10 \ kg$,the unit of length is $5 \ m$,and the unit of time is $10 \ s$. Then,in this new system,$20 \ g/cm^3$ is equal to:

If the gravitational force,electromagnetic force,strong nuclear force,and weak nuclear force are represented by $GF, EMF, SNF$,and $WNF$ respectively,then which of the following represents the correct order of their relative strengths?

Vedclass Test Series

Exam Paper Generator

Online Exam Module