The dimensions of `1/2 in_(0) E^(2)` (`in_(0)`: permittivity of free space, E: electric field) is-

Options

A. `[ML^(2)T^(-1)]`
B. `[ML^(-1)T^(-2)]`
C. `[ML^(2)T^(-2)]`
D. `[MLT^(-1)]`

Answer

B

Explanation

`(1)/(2)epsi_(0)E^(2)="Energy density"=("Energy")/("Volume")`
`implies([ML^(2)T^(-2)])/([L^(3)])=[ML^(-1)T^(-2)]`