COMEDK20269 May 2026Evening ShiftPhysicsElectromagnetic WavesActual
If ₀ is the permeability of free space and ₀ permittivity of free space then the dimension for ( ₀ , ₀)^ 1/2 is :
Options
- A[L⁻¹T⁻¹]
- B[ML⁻¹T]
- C[MLT⁻¹]
- D[L⁻¹T]
Correct answer
D. [L⁻¹T]
Step-by-step solution
The speed of light in vacuum is given by the relation c = 1 ₀ ₀ . Rearranging this expression, we get ( ₀ ₀)^ 1/2 = 1 c . The dimensional formula for the speed of light c is [LT⁻¹] . Therefore, the dimensional formula for ( ₀ ₀)^ 1/2 is 1 [LT⁻¹] = [L⁻¹T] . Answer: [L⁻¹T]