Q. The dimension of (1/2)ε₀E², where ε₀ is permittivity of free space and E is electric field, is
A) MLT⁻¹
B) ML²T⁻²
C) ML⁻¹T⁻²
D) ML²T⁻¹
Explanation
[Solution from source] (1/2)ε₀E² is the energy density of the electric field, i.e. energy per unit volume. Its dimensions are ML²T⁻²/L³ = ML⁻¹T⁻². ML²T⁻² is the dimension of energy itself, which forgets the division by volume. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.