In the forumla `a=3bc^(2) 'a'` and `'c'` have dimensions of electric capacitance and magnetic induction, respectively, what are dimensions of `'b'` in MKS system?

Options

A. `[M^(-3)L^(-2)T^(4)Q^(4)]`
B. `[M^(-3)T^(4)Q^(4)]`
C. `[M^(-3)T^(3)Q]`
D. `[M^(-3)L^(2)T^(4)Q^(-4)]`

Explanation

`a=3bc^(2)`
or `b=(a)/(3c^(2))`
writing dimension of for a and c, we have
`[b]=[Q//V]/[B]^(2)=[[Q]]/[[ML^(2)T^(-2)Q^(-1)][MT^(-1)Q^(-1)]^(2)`
`[M^(-3)L^(-2)T^(4)Q^(4)]`