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

Options

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

Answer

b

Explanation

Dimension of `epsilon_(0) = [M^(-1)L^(-1)T^(4)A^(2)]`
Dimension of `E = [MLT^(-3)A^(-1)]`
`:.` Dimension of `(1)/(2)epsilon_(0) E^(2)= [M^(-1)L^(-2)T^(4)A^(2)]`
`xx [M^(1)L^(-4)T^(-4)A^(-2)] = [ML^(-1)T^(-1)]`