Question 318: Units , Dimensions and Error Analysis

Question

In the formula X = 3YZ
2
, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are _____________

Accepted Answer

$$\begin{array}{l}\begin{array}{l}\left[Xight]\;=\;\left[Cight]\;=\;\left[M^{-1}L^{-2}T^2Q^2ight]\\left[Zight]\;=\;\left[Bight]\;=\;\left[MT^{-1}Q^{-1}ight]\\\Rightarrow\;\left[Yight]\;=\;\frac{\;\left[M^{-1}L^{-2}T^2Q^2ight]}{\;\left[MT^{-1}Q^{-1}ight]^2}\;\end{array}\\=\;\left[M^{-3}L^{-2}T^4Q^4ight]\\\\\\end{array}$$

Units , Dimensions and Error Analysis

In the formula X = 3YZ 2 , X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are _____________

Integer / Numeric Answer Type