Question

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

Answer 1

Correct Answer - C
( c ) Note : here `((1)/(2))epsilon_(0)E^(2)` represents energy per unit volume.
`[epsilon_(0)][E^(2)] = ([En ergy])/([Volume]) = (ML^(2)T^(-2))/(L^(3)) = ML^(-1)T^(-2)`