In the formula $X=3 Y Z^{2}, X$ and $Z$ have the dimensions of capacitance and magnetic induction, respectively. The dimensions of $Y$ in M.K.S system are $M^{p} L^{q} T^{r} A^{S}$, then the value of $p \times q \times r \times s$ is

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Aicharya · Accepted Answer

$\begin{aligned} Y &=\frac{X}{3 Z^{2}}=\frac{1}{3} \frac{Q^{2}}{W} 	imes \frac{I^{2} L^{2}}{F^{2}} \ &=\frac{A^{2} T^{2} A^{2} L^{2}}{\left[M L^{2} T^{-2}ight]\left[M^{2} L^{2} T^{-4}ight]}=\left[M^{-3} L^{-2} T^{8} A^{4}ight] \end{aligned}$

In the formula \(X=3 Y Z^{2}, X\) and \(Z\) have the dimensions of capacitance and magnetic induction,…

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