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(A) $1$. Thermal conductivity $(k)$: From the formula $\frac{Q}{t} = \frac{kA(	heta_1 - 	heta_2)}{l}$,we have $[k] = \frac{[Q][l]}{[t][A][\Delta	he

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$(A) - (i), (B) - (iii), (C) - (iv), (D) - (ii)$

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(A) $1$. Thermal conductivity $(k)$: From the formula $\frac{Q}{t} = \frac{kA(	heta_1 - 	heta_2)}{l}$,we have $[k] = \frac{[Q][l]}{[t][A][\Delta	heta]} = \frac{[ML^2T^{-2}][L]}{[T][L^2][K]} = [MLT^{-3}K^{-1}]$. Thus,$(A) - (i)$.$2$. Boltzmann constant $(k_B)$: From $PV = Nk_BT$,we have $[k_B] = \frac{[PV]}{[N][T]} = \frac{[ML^2T^{-2}]}{[K]} = [ML^2T^{-2}K^{-1}]$. Thus,$(B) - (iii)$.$3$. Latent heat $(L)$: From $Q = mL$,we have $[L] = \frac{[Q]}{[m]} = \frac{[ML^2T^{-2}]}{[M]} = [M^0L^2T^{-2}]$. Thus,$(C) - (iv)$.$4$. Specific heat $(s)$: From $Q = ms\Delta	heta$,we have $[s] = \frac{[Q]}{[m][\Delta	heta]} = \frac{[ML^2T^{-2}]}{[M][K]} = [M^0L^2T^{-2}K^{-1}]$. Thus,$(D) - (ii)$.Therefore,the correct match is $(A) - (i), (B) - (iii), (C) - (iv), (D) - (ii)$.

$(A)$ Thermal conductivity	$(i)$ $MLT^{-3}K^{-1}$
$(B)$ Boltzmann constant	(ii) $M^0L^2T^{-2}K^{-1}$
$(C)$ Latent heat	(iii) $ML^2T^{-2}K^{-1}$
$(D)$ Specific heat	(iv) $M^0L^2T^{-2}$

List $I$	List $II$
$A$. Torque	$I$. $[M^1 L^1 T^{-2} A^{-2}]$
$B$. Magnetic field	$II$. $[L^2 A^1]$
$C$. Magnetic moment	$III$. $[M^1 T^{-2} A^{-1}]$
$D$. Permeability of free space	$IV$. $[M^1 L^2 T^{-2}]$

Match the following physical quantities with their respective dimensional formulas:
$(A)$ Thermal conductivity $(i)$ $MLT^{-3}K^{-1}$
$(B)$ Boltzmann constant (ii) $M^0L^2T^{-2}K^{-1}$
$(C)$ Latent heat (iii) $ML^2T^{-2}K^{-1}$
$(D)$ Specific heat (iv) $M^0L^2T^{-2}$

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Match List $I$ with List $II$:

List $I$ List $II$

$A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$

$B$. Magnetic field $II$. $[L^2 A^1]$

$C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$

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Match the following physical quantities with their respective dimensional formulas:$(A)$ Thermal conductivity$(i)$ $MLT^{-3}K^{-1}$$(B)$ Boltzmann constant(ii) $M^0L^2T^{-2}K^{-1}$$(C)$ Latent heat(iii) $ML^2T^{-2}K^{-1}$$(D)$ Specific heat(iv) $M^0L^2T^{-2}$