Match List-I with List-II.

Coefficient of viscosity:

From Newton’s law of viscosity:

$$F=\eta A\frac{dv}{dx}$$

$$\eta=\frac{F}{A}\cdot\frac{dx}{dv}$$

$$[\eta]=\frac{MLT^{-2}}{L^2}\cdot\frac{L}{LT^{-1}}=[ML^{-1}T^{-1}]$$

So, (A) matches with (III)

Surface tension:

$$\text{Surface tension}=\frac{\text{Force}}{\text{length}}$$

$$\frac{MLT^{-2}}{L}=[MT^{-2}]$$

So, (B) matches with (IV)

Angular momentum:

$$L=r\times p=r\cdot mv$$

$$[L]=[L]\cdot[MLT^{-1}]=[ML^2T^{-1}]$$

So, (C) matches with (II)

Rotational kinetic energy:

$$E=\frac{1}{2}I\omega^2$$

$$[I]=ML^2,\quad[\omega]=T^{-1}$$

$$[E]=ML^2\cdot T^{-2}=[ML^2T^{-2}]$$

So, (D) matches with (I)

Final matching:

(A)−(III), (B)−(IV), (C)−(II), (D)−(I)