Question

The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric field
A. `MLT^(-1)`
B. `ML^(2)T^(-2)`
C. `ML^(-1)T^(-2)`
D. `ML^(2)T^(-1)`

Answer 1

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