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

Physics · Units, Dimensions & Error Analysis

JEE Main 2026 — 22 January, Morning Shift — Question 42

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. Spring constant	I. $\mathrm{ML}^{2} \mathrm{~T}^{-2} \mathrm{~K}^{-1}$
B. Thermal conductivity	II. $\mathrm{ML}^{0} \mathrm{~T}^{-2}$
C. Boltzmann constan	III. $\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-2}$
D. Inductive reactance	IV. $\mathrm{MLT}^{-3} \mathrm{~K}^{-1}$

Choose the correct answer from the options given below:

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

Answer: D

Step-by-step solution

(A) $F=K x$ $\left[\mathrm{MLT}^{-2}\right]=[\mathrm{K}][\mathrm{L}]$ $[\mathrm{K}]=\mathrm{ML}^{0} \mathrm{~T}^{-2}$ (B) Thermal conductivity $\frac{\mathrm{dQ}}{\mathrm{dt}}=\frac{\mathrm{kA}}{\ell} \Delta \mathrm{T}$ $\mathrm{ML}^{2} \mathrm{~T}^{-3}=\frac{[\mathrm{k}] \mathrm{L}^{2} \mathrm{~K}}{\mathrm{~L}}$ $\left[\mathrm{K}^{1}\right]=\mathrm{MLT}^{-3} \mathrm{~K}^{-1}$ (C) Boltzman constant $[\mathrm{K}]=\mathrm{ML}^{2} \mathrm{~T}^{-2} \mathrm{~K}^{-1}$ (D) Inductive reactance $\frac{[\mathrm{V}]}{[\mathrm{I}]}=\frac{\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}}{\mathrm{~A}}$ $=\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-2}$

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Exam: JEE Main 2026
Paper: 22 January, Morning Shift
Subject: Physics
Chapter: Units, Dimensions & Error Analysis
Topic: Units and Dimensions Analysis