Match List-I with List-II:List-IList-IIA. Coe | vedclass

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(C) $1$. Coefficient of Viscosity $(\eta)$: From $F = \eta A \frac{dv}{dy}$,we have $\eta = \frac{F}{A(dv/dy)}$. Dimensions: $\frac{[M L T^{-2}]}{[L^2

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$A-III, B-IV, C-II, D-I$

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(C) $1$. Coefficient of Viscosity $(\eta)$: From $F = \eta A \frac{dv}{dy}$,we have $\eta = \frac{F}{A(dv/dy)}$. Dimensions: $\frac{[M L T^{-2}]}{[L^2][T^{-1}]} = [M L^{-1} T^{-1}]$. (Matches $III$)$2$. Surface Tension $(S)$: $S = \frac{F}{l}$. Dimensions: $\frac{[M L T^{-2}]}{[L]} = [M L^0 T^{-2}]$. (Matches $IV$)$3$. Angular momentum $(L)$: $L = mvr$. Dimensions: $[M][L T^{-1}][L] = [M L^2 T^{-1}]$. (Matches $II$)$4$. Rotational Kinetic energy $(K)$: $K = \frac{1}{2} I \omega^2$. Dimensions: $[M L^2][T^{-1}]^2 = [M L^2 T^{-2}]$. (Matches $I$)Thus,the correct matching is $A-III, B-IV, C-II, D-I$.

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	$IV$. $[M L^0 T^{-2}]$

$LIST$-$I$	$LIST$-$II$
$A$. Planck's constant	$I$. $ML^2T^{-2}$
$B$. Stopping potential	$II$. $T^{-1}$
$C$. Work function	$III$. $ML^2T^{-1}$
$D$. Threshold frequency	$IV$. $ML^2T^{-3}A^{-1}$

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 $IV$. $[M L^0 T^{-2}]$

Similar Questions

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:
$LIST$-$I$ $LIST$-$II$
$A$. Planck's constant $I$. $ML^2T^{-2}$
$B$. Stopping potential $II$. $T^{-1}$
$C$. Work function $III$. $ML^2T^{-1}$
$D$. Threshold frequency $IV$. $ML^2T^{-3}A^{-1}$

It is estimated that each $cm^2$ of Earth receives about $2 \text{ calorie}$ of heat energy per minute from the Sun. This is called the solar constant. The value of the solar constant in $S.I.$ units is:

Which of the following statements is correct?

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?

If $R$,$X_L$,and $X_C$ represent resistance,inductive reactance,and capacitive reactance respectively,then which of the following is dimensionless?

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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$. $[M L^0 T^{-2}]$