Question

In the relation $X=3YZ$, X and Z represent the dimensions of the capacitance and the magnetic induction respectively, the dimensions of Y are

• A. $\left[M^{-2}{T}^4{A}^3\right]$
• B. $\left[M^{-3}{T}^4{L}^{-2}{Q}^4\right]$
• C. $\left[M^{-3}{T}^{-1}{L}^{-1}{Q}^4\right]$
• D. $\left[M{L}^2{T}^{-2}{A}^{-2}\right]$

Answer 1

The correct option is A $\left[M^{-2}{T}^4{A}^3\right]$

$\begin{array}{c}X=3YZ\\ where,\\ X=capaci\tan ce\\ Z=magneticinduction\\ Y=\frac{X}{32}\\ Y=\frac{M^{-1}{L}^{-2}{T}^4{A}^2}{M^1{T}^{-2}{A}^{-1}}\\ Hence,\\ Y=M^{-2}{T}^4{A}^3\\ \therefore optionAiscorrectanswer.\end{array}$