Which of the following pairs of physical quan | vedclass

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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work $(W = F \cdot d)$ and Torque $(	au = r 	imes

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Tension and Surface tension

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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work $(W = F \cdot d)$ and Torque $(	au = r 	imes F)$ both have the dimensional formula $[ML^2T^{-2}]$.$2$. Angular momentum $(L = mvr)$ and Planck's constant $(h = E/f)$ both have the dimensional formula $[ML^2T^{-1}]$.$3$. Tension is a force,so its dimensional formula is $[MLT^{-2}]$. Surface tension is force per unit length,so its dimensional formula is $[MT^{-2}]$. These are not the same.$4$. Impulse $(J = F \cdot \Delta t)$ and Linear momentum $(p = mv)$ both have the dimensional formula $[MLT^{-1}]$.Therefore,the pair that does not have the same dimensional formula is Tension and Surface tension.

$A$. Unified interaction reducing the number of fundamental forces from four to three	$(i)$ Strong interaction
$B$. Force between two molecules separated by a distance near about the sum of the molecular radii	$(ii)$ Gravitational force
$C$. Nuclear binding force	$(iii)$ Electroweak interaction
$D$. Bodies of astronomical proportions	$(iv)$ Electromagnetic interaction

List-$I$	List-$II$
$(A)$ Young's Modulus	$(I)$ $[ML^{-1}T^{-1}]$
$(B)$ Torque	$(II)$ $[ML^{-1}T^{-2}]$
$(C)$ Coefficient of Viscosity	$(III)$ $[M^{-1}L^3T^{-2}]$
$(D)$ Gravitational Constant	$(IV)$ $[ML^2T^{-2}]$

List-$I$	List-$II$
$A$. Coefficient of Viscosity	$I$. $[M L^2 T^{-2}]$
$B$. Surface Tension	$II$. $[M L^2 T^{-1}]$
$C$. Angular momentum	$III$. $[M L^{-1} T^{-1}]$
$D$. Rotational Kinetic energy	$IV$. $[M L^0 T^{-2}]$

List $I$	List $II$
$P.$ Boltzmann constant	$1.$ $[ML^2T^{-1}]$
$Q.$ Coefficient of viscosity	$2.$ $[ML^{-1}T^{-1}]$
$R.$ Planck constant	$3.$ $[MLT^{-3}K^{-1}]$
$S.$ Thermal conductivity	$4.$ $[ML^2T^{-2}K^{-1}]$

Which of the following pairs of physical quantities does not have the same dimensional formula?

Similar Questions

Match List-$I$ with List-$II$:
List-$I$ List-$II$
$(A)$ Young's Modulus $(I)$ $[ML^{-1}T^{-1}]$
$(B)$ Torque $(II)$ $[ML^{-1}T^{-2}]$
$(C)$ Coefficient of Viscosity $(III)$ $[M^{-1}L^3T^{-2}]$
$(D)$ Gravitational Constant $(IV)$ $[ML^2T^{-2}]$

Choose the correct answer from the options given below:

Match List-$I$ with List-$II$:
List-$I$ List-$II$
$A$. Coefficient of Viscosity $I$. $[M L^2 T^{-2}]$
$B$. Surface Tension $II$. $[M L^2 T^{-1}]$
$C$. Angular momentum $III$. $[M L^{-1} T^{-1}]$
$D$. Rotational Kinetic energy $IV$. $[M L^0 T^{-2}]$

Identify the physical quantity that has the unit $N\,m^{-1}\,s^{-2}$.

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