Match each physical quantity with its SI unit

(A) Heat capacity of a body

• Heat capacity is defined as $C = \frac{dQ}{dT}$
• Its SI unit is energy per unit temperature: $\mathrm{J\,K^{-1}}$
• So, (A) $\to$ (II)

(B) Specific heat capacity of a body

• Specific heat capacity is heat capacity per unit mass: $c = \frac{1}{m}\frac{dQ}{dT}$
• Its SI unit is $\mathrm{J\,kg^{-1}\,K^{-1}}$
• So, (B) $\to$ (III)

(C) Latent heat

• Latent heat here means specific latent heat, defined as heat required per unit mass for change of phase: $L = \frac{Q}{m}$
• Its SI unit is $\mathrm{J\,kg^{-1}}$
• So, (C) $\to$ (I)

(D) Thermal conductivity

• From Fourier's law, $\frac{Q}{t} = kA\frac{\Delta T}{L}$
• Therefore, $k = \frac{Q/t}{A(\Delta T/L)}$
• SI unit of thermal conductivity is $\mathrm{W\,m^{-1}\,K^{-1}} = \mathrm{J\,m^{-1}\,K^{-1}\,s^{-1}}$
• So, (D) $\to$ (IV)

Final matching

$\boxed{(A)-(II),\ (B)-(III),\ (C)-(I),\ (D)-(IV)}$

Compare with options

This corresponds to Option D.

Comparison with stored correct answer

Stored correct answer = D

Our derived answer = D

Hence, the answer agrees with the stored correct answer.