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Match List-I with List-II. List-I: (A) Heat capacity of a body, (B) Specific heat capacity of a body, (C) Latent heat, (D) Thermal conductivity. List-II: (I) J kg⁻¹, (II) J K⁻¹, (III) J kg⁻¹ K⁻¹, (IV) J m⁻¹ K⁻¹ s⁻¹. Choose the correct answer from the options given below.

Asked in JEE Main 2nd April 2nd Shift 2025 · Units and definitions

Answer: (4) (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Step-by-step solution

Heat capacity is Q/(Δ T) for the whole body, with no mass in it, so its unit is J K⁻¹: (A)-(II).

Specific heat capacity is that same quantity per unit mass, Q/(mΔ T), so J kg⁻¹ K⁻¹: (B)-(III).

Latent heat is Q/m at constant temperature, so no kelvin appears: J kg⁻¹, (C)-(I).

Thermal conductivity comes from (dQ)/(dt)=(KAΔ T)/L, so K=((J s⁻¹)(m))/((m²)(K))=J m⁻¹ K⁻¹ s⁻¹: (D)-(IV).

Why the other options are wrong

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