Match List - I with List - II Choose the correct answer from the options given below: List - I List - II (A) Permeability of free space (I) [ML² T⁻²] (B) Magnetic field (II) [MT⁻² A⁻¹] (C) Magnetic moment (III) [MLT⁻² A⁻²] (D) Torsional constant (IV) [L² A] (a) (A)-(III), (B)-(II), (C)-(IV), (D)-(I) (b) (A) - (I), (B) - (IV), (C) - (II), (D) - (III) (c) (A) - (II), (B) - (I), (C) - (III), (D) - (IV) (d) (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

Answer: (a). μ₀: from F/l = (μ₀ I²)/(2π d), [μ₀] = [MLT⁻²A⁻²] → (III). B = F/qv = [MT⁻²A⁻¹] → (II). Magnetic moment = IA = [L²A] → (IV). Torsional constant = τ/θ = [ML²T⁻²] → (I). So the answer is (a) A-III, B-II, C-IV, D-I.

Match List - I with List - II Choose the correct answer from the… | JEE Main 2025 (23 Jan, Shift 2)

Q21JEE Main 2025 · 23 JAN · SHIFT 2Easy

Units & Dimensions

Match List - I with List - II

Choose the correct answer from the options given below:

	List - I		List - II
(A)	Permeability of free space	(I)	$\left[\mathrm{ML^{2}\ T^{-2}}\right]$
(B)	Magnetic field	(II)	$\left[\mathrm{MT^{-2}\ A^{-1}}\right]$
(C)	Magnetic moment	(III)	$\left[\mathrm{MLT^{-2}\ A^{-2}}\right]$
(D)	Torsional constant	(IV)	$[\mathrm{L^{2}\ A}]$

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Answer: (a)

$\mu_0$ : from $F/l = \dfrac{\mu_0 I^2}{2\pi d}$ , $[\mu_0] = [\mathrm{MLT^{-2}A^{-2}}]$ → (III).
$B = \dfrac{F}{qv} = [\mathrm{MT^{-2}A^{-1}}]$ → (II).
Magnetic moment $= IA = [\mathrm{L^2A}]$ → (IV).
Torsional constant $= \tau/\theta = [\mathrm{ML^2T^{-2}}]$ → (I).
So the answer is (a) A-III, B-II, C-IV, D-I.

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