Match List-I with List-II. List-I: (A) Boltzmann constant, (B) coefficient of viscosity, (C) Planck's constant, (D) thermal conductivity. List-II: (I) ML²T⁻¹, (II) MLT⁻³K⁻¹, (III) ML²T⁻²K⁻¹, (IV) ML⁻¹T⁻¹. Choose the correct match.
Options

Question

Match List-I with List-II. List-I: (A) Boltzmann constant, (B) coefficient of viscosity, (C) Planck's constant, (D) thermal conductivity. List-II: (I) ML²T⁻¹, (II) MLT⁻³K⁻¹, (III) ML²T⁻²K⁻¹, (IV) ML⁻¹T⁻¹. Choose the correct match.

Options

G1 Physics · Accepted Answer

Boltzmann constant: k B k_B k B ​ = energy/temperature, so [ k B ] k_B] k B ​ ] = ML²T⁻²K⁻¹ ⇒ III. Coefficient of viscosity: [η] = ML⁻¹T⁻¹ ⇒ IV. Planck's constant: h = energy×time, so [h] = ML²T⁻¹ ⇒ I. Thermal conductivity from Q/t = kA(ΔT)/L gives [k] = MLT⁻³K⁻¹ ⇒ II. Therefore, A–III, B–IV, C–I, D–II. Correct option: D.