In the formula `X = 3Y Z^(2)` , `X` and `Z` have dimensions of capacitance and magteic induction respectively . When are the dimensions of F in MESQ system ?

Options

A. `[M^(-3)L^(-1)T^(3)Q^(4]]`
B. `[M^(-3)L^(-2)T^(4)Q^(4)]`
C. `[M^(-3)L^(-2)T^(4)Q^(4)]`
D. `[M^(-3)L^(-2)T^(4)Q^(4)]`

Answer

B

Explanation

` [Y] =[( X)/(Z)^(2)] = [["capacitance")/(("magnetic induction")^(2))]`
` = [(M^(-1) L^(-2)Q^(2)T^(2))/(M^(2)Q^(-2)T^(-2))]`
` = [M^(-3)L^(-2)T^(4)Q^(4)] `