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

Options

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

Answer

c

Explanation

Here, `(1//2)epsi_(0)E_(2)` represents energy per unit volume.
`|epsi_(0)|[E^(2)]=("Energy")/("Volume")=([ML^(2)T^(-2)])/([L^(3)])=[ML^(-1)T^(-2)]`