In the fourmula `X=3YZ^(2), X` and `Z` have dimensions of capacitance and magnetic induction respectivey. What are the dimensions of `Y` is `MKSQ` system?

Options

A. `ML^(-2)`
B. `ML^(-2)T^(-1A)`
C. `ML^(-1)T^(-2)A^(2)`
D. `L^(-1)A^(-1)`

Explanation

(1) Since (Capacity (Farad)
`=[M^(-1)L^(-2)T^(4)A^(2)]`
`=["Magnetic field" ("tesla")]=[ML^(0)T^(-2)A^(-1)]`
`therefore ["Dimension of x"]`
`=[M^(-1)L^(-2)T^(4)A^(2)]xx[M^(2)L^(-4)A^(-2)]=[ML^(-2)]`