JEE Main 2026 — Jan 24, Shift 1 — Physics solution

JEE Main2026Jan 24, Shift 1Physics

Match the List-I with List-II

Choose the correct answer from the options given below:

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

Solution

Derive each dimensional formula:

A. Magnetic induction $B$ : from $F = q v B$ , $[B] = \frac{[ F ]}{[ q ] [ v ]} = \frac{M L T ^{- 2}}{A T \cdot L T ^{- 1}} = [M L^{0} T^{- 2} A^{- 1}]$ → III.

B. Magnetic flux $ϕ$ : $ϕ = B \cdot A$ , so $[ϕ] = [M L^{0} T^{- 2} A^{- 1}] [L^{2}] = [M L^{2} T^{- 2} A^{- 1}]$ → IV.

C. Magnetic permeability $μ$ : from $B = μ H$ or $F / ℓ = μ I_{1} I_{2} / (2 π d)$ , $[μ] = [M L T^{- 2} A^{- 2}]$ → I.

D. Self inductance $L$ : from $U = \frac{1}{2} L I^{2}$ , $[L] = \frac{[ E ]}{[ I ^{2} ]} = \frac{M L ^{2} T ^{- 2}}{A ^{2}} = [M L^{2} T^{- 2} A^{- 2}]$ → II.

$∴$ A-III, B-IV, C-I, D-II.

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