In the formula `x=3yz^(2)`, x and y have dimensions of capacitance and magnetic induction respectively, then find the dimensions of y.

Options

A. `M^(-3) L^(-2) T^(-2) A^(-4)`
B. `ML^(-2)`
C. `M^(-3) L^(-2)A^(4)T^(8)`
D. `M^(-3) L^(-2)A^(4)T^(4)`

Answer

c

Explanation

`X = C = Q^(2)//W = [AT]^(2) //[ML^(2)T^(-2)] = [M^(-1)L^(-2)A^(2)T^(4)]`
`[Z] = [B] = F//Il = MLT^(-2)//AL = [MA^(-1)T^(-1)]`
`[Y] = [X][Z]^(2) = M^(-1)L^(-2)A^(2)T^(4)//[MA^(-1)T^(-2)]^(2) = [M^(-3)L^(-2)A^(4)T^(8)]`