Match List-I with List-II. List-I List-II (A) Magnetic field (I) [M⁻¹L⁻³T^4A^2] (B) Magnetic flux (II) [MLT⁻²A⁻²] (C) Magnetic permeability (III) [ML^2T⁻²A⁻¹] (D) Electric permittivity (IV) [MT⁻²A⁻¹] Choose the correct answer from the options given below:

Step-by-step solution

To find the dimensional formulas, we use standard relations: (A) Magnetic field ( B ): From the magnetic force F = qvB , we have [B] = [F] [q][v] = [MLT⁻²] [AT][LT⁻¹] = [MT⁻²A⁻¹] . Thus, A matches with IV. (B) Magnetic flux ( ): From = BA , we have [ ] = [MT⁻²A⁻¹][L^2] = [ML^2T⁻²A⁻¹] . Thus, B matches with III. (C) Magnetic permeability ( ₀ ): From the force per unit length between parallel wires F L = ₀ I₁ I₂ 2 r , we have [ ₀] = [F][r] [L][I^2] = [MLT⁻²][L] [L][A^2] = [MLT⁻²A⁻²] . Thus, C matches with II. (D) Ele