JEE Main20198 Apr 2019Morning ShiftPhysicsUnits and DimensionsActual
In S I units, the dimensions of ϵ 0 μ 0 is:
Options
- AA T 2 M - 1 L - 1
- BA 2 T 3 M - 1 L - 2
- CA - 1 T M L 3
- DA T - 3 M L 3 / 2
Correct answer
B. A 2 T 3 M - 1 L - 2
Step-by-step solution
As we know, c = 1 μ 0 ε 0 ∴   ε 0 μ 0 = ε 0 2 μ 0 ε 0 = ε 0 c ∴ ε 0 μ 0 = ε 0 c = M - 1 L - 3 T 4 A 2 [ L T - 1 ] = [ M - 1 L - 2 T 3 A 2 ]