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(A) The dimensional formulas are calculated as follows:$A$. Spring constant $(k)$: $F = kx \implies k = F/x$. Dimensions: $[MLT^{-2}]/[L] = [M^1L^0T^{

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$A-3, B-4, C-2, D-1$

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(A) The dimensional formulas are calculated as follows:$A$. Spring constant $(k)$: $F = kx \implies k = F/x$. Dimensions: $[MLT^{-2}]/[L] = [M^1L^0T^{-2}]$. Matches $(3)$.$B$. Pascal $(Pa)$: Unit of pressure $(P = F/A)$. Dimensions: $[MLT^{-2}]/[L^2] = [M^1L^{-1}T^{-2}]$. Matches $(4)$.$C$. Hertz $(Hz)$: Unit of frequency $(f = 1/T)$. Dimensions: $[T^{-1}] = [M^0L^0T^{-1}]$. Matches $(2)$.$D$. Joule $(J)$: Unit of energy/work $(W = F \cdot d)$. Dimensions: $[MLT^{-2}] \cdot [L] = [M^1L^2T^{-2}]$. Matches $(1)$.Therefore,the correct matching is $A-3, B-4, C-2, D-1$.

List-$I$	List-$II$
$A$. Spring constant	$1$. $M^1L^2T^{-2}$
$B$. Pascal	$2$. $M^0L^0T^{-1}$
$C$. Hertz	$3$. $M^1L^0T^{-2}$
$D$. Joule	$4$. $M^1L^{-1}T^{-2}$

Match List-$I$ with List-$II$ and select the correct answer.

List-$I$ List-$II$

$A$. Spring constant $1$. $M^1L^2T^{-2}$

$B$. Pascal $2$. $M^0L^0T^{-1}$

$C$. Hertz $3$. $M^1L^0T^{-2}$

$D$. Joule $4$. $M^1L^{-1}T^{-2}$

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Match List-$I$ with List-$II$ and select the correct answer. List-$I$ List-$II$ $A$. Spring constant $1$. $M^1L^2T^{-2}$ $B$. Pascal $2$. $M^0L^0T^{-1}$ $C$. Hertz $3$. $M^1L^0T^{-2}$ $D$. Joule $4$. $M^1L^{-1}T^{-2}$