If ₀ is the permittivity of free space and E is the magnitude of the electric field, then the dimensions of the expression 1 2 ₀ E^2 are the same as those of :

Step-by-step solution

The expression 1 2 ₀ E^2 represents the electrostatic energy density, which is energy per unit volume. The dimensions of energy are [ M L ^2 T ⁻²] and the dimensions of volume are [ L ^3] . Therefore, the dimensions of energy density are: [ M L ^2 T ⁻²] [ L ^3] = [ M L ⁻¹ T ⁻²] Now, checking the given options, the dimensions of pressure (Force / Area) are: [ M L T ⁻²] [ L ^2] = [ M L ⁻¹ T ⁻²] Thus, the expression has the same dimensions as pressure. Answer: Pressure