To match the entries in List-I with their corresponding units in List-II, we can use the definitions and formulas related to each concept in thermal physics:

Heat Capacity of a Body (C') is defined as:

$ C' = \frac{\Delta Q}{\Delta T} $

The unit for heat capacity (C') is Joules per Kelvin (J K$^{-1}$).

Specific Heat Capacity of a Body (S) indicates how much heat energy is required to change the temperature of a unit mass of a substance by one degree Kelvin:

$ S = \frac{\Delta Q}{m \Delta T} $

The unit for specific heat capacity (S) is Joules per kilogram per Kelvin (J kg$^{-1}$ K$^{-1}$).

Latent Heat (L) is the heat energy absorbed or released during a phase change of a substance at a constant temperature:

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

The unit for latent heat (L) is Joules per kilogram (J kg$^{-1}$).

Thermal Conductivity (K) measures the ability of a material to conduct heat:

$ \Delta Q = \frac{KA \Delta T}{L} \quad \Rightarrow \quad K = \frac{\Delta Q \cdot L}{A \Delta T} $

The unit for thermal conductivity (K) is Joules per meter per Kelvin per second (J m$^{-1}$ K$^{-1}$ s$^{-1}$).

Using these formulas and their corresponding units, the correct matches are:

(A) Heat capacity of body $\rightarrow$ (II) J K$^{-1}$

(B) Specific heat capacity of body $\rightarrow$ (III) J kg$^{-1}$ K$^{-1}$

(C) Latent heat $\rightarrow$ (I) J kg$^{-1}$

(D) Thermal conductivity $\rightarrow$ (IV) J m$^{-1}$ K$^{-1}$ s$^{-1}$