Match List - I with List - II.

Angular impulse:

Angular impulse = change in angular momentum

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

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

So, (A) matches with (III)

Latent heat:

Latent heat = heat per unit mass

$$L=\frac{Q}{m}$$

$$[Q]=[ML^2T^{-2}]$$

$$[L]=\frac{ML^2T^{-2}}{M}=[L^2T^{-2}]$$

So, (B) matches with (I)

Electrical resistivity:

$$R=\rho\frac{L}{A}\Rightarrow\rho=R\frac{A}{L}$$

Now,

$$R=\frac{V}{I}$$

$$[V]=[ML^2T^{-3}A^{-1}]$$

$$[R]=\frac{ML^2T^{-3}A^{-1}}{A}=[ML^2T^{-3}A^{-2}]$$

So,

$$[\rho]=[ML^2T^{-3}A^{-2}]\cdot\frac{L^2}{L}=[ML^3T^{-3}A^{-2}]$$

So, (C) matches with (IV)

Electromotive force (EMF):

EMF has same dimensions as potential difference

$$[EMF]=[ML^2T^{-3}A^{-1}]$$

So, (D) matches with (II)

Final matching:

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