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Match the LIST-I with LIST-II List-I A. Spring constant B. Thermal conductivity C. Boltzmann constant D. Inductive reactance List-II I. ML^2 T^-2 K^-1 II. ML^0 T^-2 III. ML^2 T^-3 A^-2 IV. MLT^-3 K^-1 Choose the correct answer from the options given below:

1. A-II, B-I, C-IV, D-III
2. A-I, B-IV, C-II, D-III
3. A-III, B-II, C-IV, D-I
4. A-II, B-IV, C-I, D-III

Correct answer: A-II, B-IV, C-I, D-III

Solution

The correct matches are based on the dimensional analysis of each physical quantity: the spring constant has dimensions of force per unit extension (A-II), thermal conductivity relates heat transfer to temperature difference (B-IV), the Boltzmann constant connects temperature to energy (C-I), and inductive reactance relates to the rate of change of current in an inductor (D-III).

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