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(D) The dimension of $Pa \cdot s$ (coefficient of viscosity) is $[M \ L^{-1} \ T^{-2}] \cdot [T] = [M \ L^{-1} \ T^{-1}]$,which matches $(iii)$.The di

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$(iii), (iv), (i), (ii)$

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(D) The dimension of $Pa \cdot s$ (coefficient of viscosity) is $[M \ L^{-1} \ T^{-2}] \cdot [T] = [M \ L^{-1} \ T^{-1}]$,which matches $(iii)$.The dimension of $N \cdot m \cdot K^{-1}$ (Boltzmann constant or gas constant units) is $[M \ L \ T^{-2}] \cdot [L] \cdot [K]^{-1} = [M \ L^2 \ T^{-2} \ K^{-1}]$,which matches $(iv)$.The dimension of $J \cdot kg^{-1} \cdot K^{-1}$ (specific heat capacity) is $[M \ L^2 \ T^{-2}] \cdot [M]^{-1} \cdot [K]^{-1} = [L^2 \ T^{-2} \ K^{-1}]$,which matches $(i)$.The dimension of $W \cdot m^{-1} \cdot K^{-1}$ (thermal conductivity) is $[M \ L^2 \ T^{-3}] \cdot [L]^{-1} \cdot [K]^{-1} = [M \ L \ T^{-3} \ K^{-1}]$,which matches $(ii)$.Therefore,the correct matching is $A-(iii), B-(iv), C-(i), D-(ii)$,hence the correct option is $(d)$.

$A$. $Pa \cdot s$	$(i)$ $[L^2 \ T^{-2} \ K^{-1}]$
$B$. $N \cdot m \cdot K^{-1}$	$(ii)$ $[M \ L \ T^{-3} \ K^{-1}]$
$C$. $J \cdot kg^{-1} \cdot K^{-1}$	$(iii)$ $[M \ L^{-1} \ T^{-1}]$
$D$. $W \cdot m^{-1} \cdot K^{-1}$	$(iv)$ $[M \ L^2 \ T^{-2} \ K^{-1}]$

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