Match List - I with List - II.

List - I List - II

(A) Permeability of free space (I) $\left[{\mathrm{ML}}^{2}{\mathrm{T}}^{-2}\right]$

(B) Magnetic field (II) $\left[{\mathrm{MT}}^{-2}{\mathrm{A}}^{-1}\right]$

(C) Magnetic moment (III) $\left[{\mathrm{MLT}}^{-2}{\mathrm{A}}^{-2}\right]$

(D) Torsional constant (IV) $\left[{\mathrm{L}}^{2}\mathrm{A}\right]$

Choose the correct answer from the options given below :

[JEE Main 2025, 23 Jan (Shift 2)]

Question

Match List - I with List - II.

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

Choose the correct answer from the options given below :

[JEE Main 2025, 23 Jan (Shift 2)]

YESPYQ · Accepted Answer

Correct answer: b) (A)-(III), (B)-(II), (C)-(IV), (D)-(I). $\tau =C\theta \ c=\left[M{L}^{2}{T}^{-2}\right]$ $M=NIA\ M=\left[{L}^{2}A\right]$ $\text{ }F=qVB\ \left[ML{T}^{-2}\right]=[AT]\left[L{T}^{-1}\right]B\ B=\left[M{T}^{-2}{A}^{-1}\right]$ $B=\frac{{\mu }_{0}i}{2r}\ {\mu }_{0}=\frac{\left[M{T}^{-2}{A}^{-1}\right][L]}{[A]}$ ${\mu }_{0}=\left[ML{T}^{-2}{A}^{-2}\right]$

Match List - I with List - II. List - I List - II (A) Permeability of free space (I) \(\left[{\mathrm{ML}}^{2}{\mathrm{T…

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