Match the LIST-I with LIST-II LIST-ILIST-IIA.Boltzmann constantI.… - Vidyadip

MCQ

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	Boltzmann constant	I.	$\mathrm{ML}^{2} \mathrm{~T}^{-1}$
B.	Coefficient of viscosity	II.	MLT $^{-3} \mathrm{~K}^{-1}$
C.	Planck's constant	III.	$\mathrm{ML}^{2} \mathrm{~T}^{-2} \mathrm{~K}^{-1}$
D.	Thermal conductivity	IV.	$\mathrm{ML}^{-1} \mathrm{~T}^{-1}$

Choose the correct answer from the options given below :

A
A-III, B-IV, C-I, D-II
B
A-II, B-III, C-IV, D-I
C
A-III, B-II, C-I, D-IV
D
A-III, B-IV, C-II, D-I

✓

Answer

A. A-III, B-IV, C-I, D-II
(A) $[\mathrm{k}]=\frac{\mathrm{PV}}{\mathrm{NT}}=\frac{\mathrm{ML}^{2} \mathrm{~T}^{-2}}{\mathrm{~K}}=\mathrm{ML}^{2} \mathrm{~T}^{-2} \mathrm{~K}^{-1}$
(B) $[\eta]=\frac{\mathrm{F}}{6 \pi \mathrm{rv}}=\frac{\mathrm{MLT}^{-2}}{\mathrm{~L}^{2} \mathrm{~T}^{-1}}=\mathrm{ML}^{-1} \mathrm{~T}^{-1}$
(C) $[\mathrm{h}]=\frac{\mathrm{E}}{\mathrm{f}}=\frac{\mathrm{ML}^{2} \mathrm{~T}^{-2}}{\mathrm{~T}^{-1}}=\mathrm{ML}^{2} \mathrm{~T}^{-1}$
(D) $\frac{\mathrm{dQ}}{\mathrm{dt}}=\mathrm{k} \frac{\mathrm{AdT}}{\mathrm{dx}}$
$\mathrm{k}=\frac{\left(\mathrm{ML}^{2} \mathrm{~T}^{-3}\right) \mathrm{L}}{\mathrm{L}^{2} \cdot \mathrm{~K}}=\mathrm{MLT}^{-3} \mathrm{~K}^{-1}$

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