Match List I with List II

List I	List II
A. Torque	I. kg m$$^{-1}$$ s$$^{-2}$$
B. Energy density	II. kg m s$$^{-1}$$
C. Pressure gradient	III. kg m$$^{-2}$$ s$$^{-2}$$
D. Impulse	IV. kg m$$^2$$ s$$^{-2}$$

Choose the correct answer from the options given below:

We need to match each physical quantity with its correct SI unit dimensions.

A. Torque:

Torque = Force × Distance = $$[\text{kg} \cdot \text{m} \cdot \text{s}^{-2}] \times [\text{m}]$$ = $$\text{kg} \cdot \text{m}^2 \cdot \text{s}^{-2}$$ → IV

B. Energy density:

Energy density = Energy / Volume = $$\frac{\text{kg} \cdot \text{m}^2 \cdot \text{s}^{-2}}{\text{m}^3}$$ = $$\text{kg} \cdot \text{m}^{-1} \cdot \text{s}^{-2}$$ → I

C. Pressure gradient:

Pressure gradient = Pressure / Distance = $$\frac{\text{kg} \cdot \text{m}^{-1} \cdot \text{s}^{-2}}{\text{m}}$$ = $$\text{kg} \cdot \text{m}^{-2} \cdot \text{s}^{-2}$$ → III

D. Impulse:

Impulse = Force × Time = $$[\text{kg} \cdot \text{m} \cdot \text{s}^{-2}] \times [\text{s}]$$ = $$\text{kg} \cdot \text{m} \cdot \text{s}^{-1}$$ → II

Therefore, the correct matching is: A-IV, B-I, C-III, D-II.