(A) Mass density:

Mass density is defined as mass per unit volume.

The dimension of mass is $$[M]$$.

The dimension of volume is $$[L^3]$$.

Therefore, the dimension of mass density is $$\frac{[M]}{[L^3]} = [ML^{-3}T^{0}]$$.

Matches with (IV).

(B) Impulse:

Impulse is defined as the change in momentum, or force multiplied by time.

Impulse = Force x Time

The dimension of force is $$[MLT^{-2}]$$.

The dimension of time is $$[T]$$.

Therefore, the dimension of impulse is $$[MLT^{-2}] \cdot [T] = [MLT^{-1}]$$.

Matches with (II).

(C) Power:

Power is defined as the rate of doing work or energy per unit time.

Power = Work / Time

The dimension of work (or energy) is $$[ML^2T^{-2}]$$.

The dimension of time is $$[T]$$.

Therefore, the dimension of power is $$\frac{[ML^2T^{-2}]}{[T]} = [ML^2T^{-3}]$$.

Matches with (I).

(D) Moment of inertia:

Moment of inertia is defined as $$I = mr^2$$, where m is mass and r is the distance from the axis of rotation.

The dimension of mass is $$[M]$$.

The dimension of distance squared is $$[L^2]$$.

Therefore, the dimension of moment of inertia is $$[ML^2T^{0}]$$.

Matches with (III).

So, the correct matches are:

(A) - (IV)

(B) - (II)

(C) - (I)

(D) - (III)

Therefore, the correct option is D.