JEE MAIN - Physics (2025 - 23rd January Evening Shift - No. 17)
Match List - I with List - II
| List - I | List - II | ||
|---|---|---|---|
| (A) | Permeability of free space | (I) | $\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}\right]$ |
| (B) | Magnetic field | (II) | $\left[\mathrm{M} \mathrm{T}^{-2} \mathrm{~A}^{-1}\right]$ |
| (C) | Magnetic moment | (III) | $\left[\mathrm{M} \mathrm{L} \mathrm{T}^{-2} \mathrm{~A}^{-2}\right]$ |
| (D) | Torsional constant | (IV) | $\left[\mathrm{L}^2 \mathrm{~A}\right]$ |
Choose the correct answer from the options given below :
(A)-(III), (B)-(II), (C)-(IV), (D)-(I)
$(\mathrm{A})-(\mathrm{I}),(\mathrm{B})-(\mathrm{IV}),(\mathrm{C})-(\mathrm{II}),(\mathrm{D})-(\mathrm{III})$
$(\mathrm{A})-(\mathrm{II}),(\mathrm{B})-(\mathrm{I}),(\mathrm{C})-(\mathrm{III}),(\mathrm{D})-(\mathrm{IV})$
(A)-(IV), (B)-(III), (C)-(I), (D)-(II)
Explanation
The correct matching is:
(A) Permeability of free space has dimensions
$$[MLT^{-2}A^{-2}]$$
which corresponds to entry (III).
(B) Magnetic field has dimensions
$$[MT^{-2}A^{-1}]$$
which corresponds to entry (II).
(C) Magnetic moment in SI units is expressed in Ampere-square meters, i.e.,
$$[L^2A]$$
which corresponds to entry (IV).
(D) Torsional constant (torque per unit angular displacement) has dimensions
$$[ML^2T^{-2}]$$
which corresponds to entry (I).
Thus, the correct answer is:
Option A: (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
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