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

Energy density `= ("Energy")/("Volume")` so its dimension are
`([ML^(2)T^(-2)])/([L^(3)]) = [ML^(-1)T^(-2)]`