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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-$II$
$A$. Spring constant	$I$. $ML^2 T^{-2} K^{-1}$
$B$. Thermal conductivity	$II$. $ML^0 T^{-2}$
$C$. Boltzmann constant	$III$. $ML^2 T^{-3} A^{-2}$
$D$. Inductive reactance	$IV$. $MLT^{-3} K^{-1}$

List-$I$	List-$II$
$(a)$ Torque	$(i)$ $[M^{-1}L^{-2}T^4A^2]$
$(b)$ Gravitational constant	(ii) $[M^1L^2T^{-1}]$
$(c)$ Capacitance	(iii) $[M^{-1}L^3T^{-2}]$
$(d)$ Planck’s constant	(iv) $[M^1L^2T^{-2}]$

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 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) $M^0L^2T^{-2}$