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Match the List-I with List-II.
List-IList-II
(A) Spring constant(I) [ML²T⁻²K⁻¹]
(B) Thermal conductivity(II) [ML⁰T⁻²]
(C) Boltzmann constant(III) [ML²T⁻³A⁻²]
(D) Inductive reactance(IV) [MLT⁻³K⁻¹]

Choose the correct answer from the options given below:

Asked in JEE Main 22nd Jan 1st Shift 2026 · Matching quantities to their dimensions

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

Step-by-step solution

A: a spring constant is force per unit length, [MT⁻²]=[ML⁰T⁻²], so (II).

B: thermal conductivity comes from Q/t=kA(Δ T)/l, giving [MLT⁻³K⁻¹], so (IV).

C: Boltzmann's constant is energy per kelvin, [ML²T⁻²K⁻¹], so (I).

D: inductive reactance is measured in ohms, [ML²T⁻³A⁻²], so (III).

Hence A-II, B-IV, C-I, D-III.

Why the other options are wrong

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