Match List I with List II and select the corr | vedclass

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(C) $(P)$ Boltzmann constant $(k)$: From $U = \frac{1}{2}kT$,we have $[k] = [U]/[T] = [ML^2T^{-2}]/[K] = [ML^2T^{-2}K^{-1}]$. Thus,$P-4$.$(Q)$ Coeffic

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$4 \quad 2 \quad 1 \quad 3$

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(C) $(P)$ Boltzmann constant $(k)$: From $U = \frac{1}{2}kT$,we have $[k] = [U]/[T] = [ML^2T^{-2}]/[K] = [ML^2T^{-2}K^{-1}]$. Thus,$P-4$.$(Q)$ Coefficient of viscosity $(\eta)$: From $F = \eta A \frac{dv}{dx}$,we have $[\eta] = [F]/([A][dv/dx]) = [MLT^{-2}]/([L^2][LT^{-1}/L]) = [ML^{-1}T^{-1}]$. Thus,$Q-2$.$(R)$ Planck constant $(h)$: From $E = h
u$,we have $[h] = [E]/[
u] = [ML^2T^{-2}]/[T^{-1}] = [ML^2T^{-1}]$. Thus,$R-1$.$(S)$ Thermal conductivity $(k)$: From $\frac{dQ}{dt} = \frac{kA\Delta	heta}{\ell}$,we have $[k] = [dQ/dt][\ell]/([A][\Delta	heta]) = [ML^2T^{-3}][L]/([L^2][K]) = [MLT^{-3}K^{-1}]$. Thus,$S-3$.Therefore,the correct matching is $P-4, Q-2, R-1, S-3$.

List $I$	List $II$
$P.$ Boltzmann constant	$1.$ $[ML^2T^{-1}]$
$Q.$ Coefficient of viscosity	$2.$ $[ML^{-1}T^{-1}]$
$R.$ Planck constant	$3.$ $[MLT^{-3}K^{-1}]$
$S.$ Thermal conductivity	$4.$ $[ML^2T^{-2}K^{-1}]$

List-$I$	List-$II$
$(a)$ ${R}_{H}$ (Rydberg constant)	$(i)$ ${kg} {m}^{-1} {s}^{-1}$
$(b)$ $h$ (Planck's constant)	$(ii)$ ${kg} {m}^{2} {s}^{-1}$
$(c)$ $u_{B}$ (Magnetic field energy density)	$(iii)$ ${m}^{-1}$
$(d)$ $\eta$ (Coefficient of viscosity)	$(iv)$ ${kg} {m}^{-1} {s}^{-2}$

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