Match List I with List II

	List I		List II
A.	Torque	I.	$$M L^{-2} T^{-2}$$
B.	Stress	II.	$$M L^2 T^{-2}$$
C.	Pressure gradient	III.	$$M L^{-1} T^{-1}$$
D.	Coefficient of viscosity	IV.	$$M L^{-1} T^{-2}$$

Choose the correct answer from the options given below:

We need to find the dimensions of each quantity in List I and match with List II.

A. Torque:

Torque = Force × Distance = $$MLT^{-2} \times L = ML^2T^{-2}$$

This matches with II.

B. Stress:

Stress = Force / Area = $$\frac{MLT^{-2}}{L^2} = ML^{-1}T^{-2}$$

This matches with IV.

C. Pressure gradient:

Pressure gradient = Pressure / Distance = $$\frac{ML^{-1}T^{-2}}{L} = ML^{-2}T^{-2}$$

This matches with I.

D. Coefficient of viscosity:

From Newton's law of viscosity: $$F = \eta A \frac{dv}{dx}$$

$$\eta = \frac{F}{A} \times \frac{dx}{dv} = \frac{MLT^{-2}}{L^2} \times \frac{L}{LT^{-1}} = ML^{-1}T^{-1}$$

This matches with III.

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

The correct answer is Option 3.