LIST-I LIST-II A. Boltzmann constant I. ML^2T^(-1) B. Coefficient of viscosity II. MLT^(-3) K^(-1) ​

Question

Match the LIST-I with LIST-II

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

Choose the correct answer from the options given below :

(1) A-III, B-IV, C-I, D-II

(2) A-II, B-III, C-IV, D-I

(3) A-III, B-II, C-I, D-IV

(4) A-III, B-IV, C-II, D-I

Answer 1

Correct option is : (1) A-III, B-IV, C-I, D-II

(A) \([k] = \frac{PV}{NT} = \frac{ML^2T^{-2}}{K}= ML^2T^{-2}K^{-1}\)

(B) \([\eta] = \frac{F}{6 \pi rv} = \frac{MLT^{-2}}{L^2T^{-1}}= ML^{-1}T^{-1}\)

(C) \([h] = \frac{E}{f} = \frac{ML^2T^{-2}}{T^{-1}} = ML^2T^{-1}\)

(D) \(\frac{dQ}{dt} = k \frac{AdT}{dx}\)

\(k = \frac{(Ml^2T^{-3})L}{L^2.K} = MLT^{-3}K^{-1}\)