Which of the following physical quantities has the same dimensional formula as the expression B^2 2 ₀ , where B is the magnetic field and ₀ is the permeability of free space?

Step-by-step solution

The expression B^2 2 ₀ represents the magnetic energy density, which is the magnetic energy stored per unit volume. Dimensional formula of energy = [ML^2T⁻²] Dimensional formula of volume = [L^3] Dimensional formula of energy density = [ML^2T⁻²] [L^3] = [ML⁻¹T⁻²] Now, let us check the dimensions of the given options: (1) Force = [MLT⁻²] (2) Power = [ML^2T⁻³] (3) Pressure = Force Area = [MLT⁻²] [L^2] = [ML⁻¹T⁻²] (4) Energy = [ML^2T⁻²] Thus, the expression has the same dimensions as pressure. Answer: Pressure