The dimensional formula of permittivity `(epsilon_0)` of free space is :

Options

A. `A^2 T^(2) M^(-1) L^(-3)`
B. `A^2 T^(4) M^(-1) L^(-3)`
C. `A^(-2) T^(-4) ML^(3)`
D. `A^(2) T^(-4) M^(-1) L^(-3)`

Answer

B

Explanation

`F =1/(4piepsilon_0).(q_1q_2)/(r^2)implies 1/([epsilon_0]) = ([MLT^(-2)][L^2])/([A^2T^2])`
`1/[epsilon_0] = [ML^3 T^(-4) A^(-2)] implies [epsilon_0] =[ML^(-1) T^(-2)]`