The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric field

Options

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

Answer

c

Explanation

`[(1)/(2) epsilon_(0) E^(2)] =[(ML^(2)T^(-2)]/(L^(2))] = [ML^(-1)T^(-2)] `
Since `(1)/(2)epsilon_(0) E^(2)` is energy per unit volume