Question

Fill in the blanks type
In the formula $X=3Y{Z}^2,X$ and Z have dimensions of capacitance and magnetic induction, respectively. The dimensions of Y in M.K.S system are _______

Answer 1

$Q=CV$

From this,

$C\to M^{-1}{L}^{-2}{T}^4{I}^2$

And$X\to M^{-1}{L}^{-2}{T}^4{I}^2$

$Z\to M^{-1}{T}^{-2}{I}^2$

$X\propto Y{Z}^2$

$M^{-1}{L}^{-2}{T}^4{I}^2$$Z\propto Y.(M^{-1}{T}^{-2}{I}^2{)}^2$

$Y\to M^{-3}{L}^{-2}{T}^8{I}^4$