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

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Question

$(p)$ $U =\frac{1}{2} kT \quad \Rightarrow \quad ML ^2 T ^{-2}=[ k ] K \quad \Rightarrow \quad[ K ]= ML ^2 T ^{-2} K ^{-1}$

$(q)$ $F =\eta A \frac{

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

Vedclass · Answer

$(p)$ $U =\frac{1}{2} kT \quad \Rightarrow \quad ML ^2 T ^{-2}=[ k ] K \quad \Rightarrow \quad[ K ]= ML ^2 T ^{-2} K ^{-1}$

$(q)$ $F =\eta A \frac{ dv }{ dx } \Rightarrow \quad[\eta]=\frac{ MLT ^{-2}}{ L ^2 LT ^{-1} L ^{-1}}= ML ^{-1} T ^{-1}$

$(r)$ $E = h v \quad \Rightarrow \quad ML ^2 T ^2=[ h ] T ^{-1} \Rightarrow \quad[ h ]= ML ^2 T ^{-1}$

$(s)$ $\frac{ dQ }{ dt }=\frac{ kA \Delta 	heta}{\ell} \Rightarrow \quad[ k ]=\frac{ ML ^2 T ^{-3} L }{ L ^2 K }= MLT ^{-3} K ^{-1}$

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

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