$\text { Match List - I with List - II. }$

$$ \begin{array}{lll} & \text { List - I } & {List - II }\\ \text { } \\ \text { (A) } & \text { Heat capacity of body } & \text { (I) } \mathrm{J} \mathrm{~kg}^{-1} \\ \text { (B) } & \text { Specific heat capacity of body } & \text { (II) } \mathrm{J} \mathrm{~K}^{-1} \\ \text { (C) } & \text { Latent heat } & \text { (III) } \mathrm{J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1} \\ \text { (D) } & \text { Thermal conductivity } & \text { (IV) } \mathrm{J} \mathrm{~m}^{-1} \mathrm{~K}^{-1} \mathrm{~s}^{-1} \end{array} $$

$\text { Choose the correct answer from the options given below : }$

<p>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:</p> <p><p><strong>Heat Capacity of a Body (C')</strong> is defined as:</p> <p>$ C' = \frac{\Delta Q}{\Delta T} $</p> <p>The unit for heat capacity (C') is Joules per Kelvin (J K$^{-1}$).</p></p> <p><p><strong>Specific Heat Capacity of a Body (S)</strong> indicates how much heat energy is required to change the temperature of a unit mass of a substance by one degree Kelvin:</p> <p>$ S = \frac{\Delta Q}{m \Delta T} $</p> <p>The unit for specific heat capacity (S) is Joules per kilogram per Kelvin (J kg$^{-1}$ K$^{-1}$).</p></p> <p><p><strong>Latent Heat (L)</strong> is the heat energy absorbed or released during a phase change of a substance at a constant temperature:</p> <p>$ L = \frac{\Delta Q}{m} $</p> <p>The unit for latent heat (L) is Joules per kilogram (J kg$^{-1}$).</p></p> <p><p><strong>Thermal Conductivity (K)</strong> measures the ability of a material to conduct heat:</p> <p>$ \Delta Q = \frac{KA \Delta T}{L} \quad \Rightarrow \quad K = \frac{\Delta Q \cdot L}{A \Delta T} $</p> <p>The unit for thermal conductivity (K) is Joules per meter per Kelvin per second (J m$^{-1}$ K$^{-1}$ s$^{-1}$).</p></p> <p>Using these formulas and their corresponding units, the correct matches are:</p> <p><p>(A) Heat capacity of body $\rightarrow$ (II) J K$^{-1}$</p></p> <p><p>(B) Specific heat capacity of body $\rightarrow$ (III) J kg$^{-1}$ K$^{-1}$</p></p> <p><p>(C) Latent heat $\rightarrow$ (I) J kg$^{-1}$</p></p> <p><p>(D) Thermal conductivity $\rightarrow$ (IV) J m$^{-1}$ K$^{-1}$ s$^{-1}$</p></p>