Question

Q. The SI unit of length is meter. if we choose x meters as unit of length, then find the area of im² written in terms of new unit has a magnitude:

Answer 1

$$\begin{gathered} Newunitoflength=xmeters \\ Then, \\ 1meter=\frac{1}{x}times\left(newunitoflength\right) \\ 1m^2=\left[\frac{1}{x}\left(newunitoflength\right)\right]\times \left[\frac{1}{x}\left(newunitoflength\right)\left(\right)\right] \\ =\frac{1}{x^2}{\left(newunitoflength\right)}^2 \\ Hence, \\ i{m}^2=i\times \frac{1}{x^2}{\left(newunitoflength\right)}^2 \\ =\frac{i}{x^2}{\left(newunitoflength\right)}^2 \\ \mathit{M}\mathit{a}\mathit{g}\mathit{n}\mathit{i}\mathit{t}\mathit{u}\mathit{d}\mathit{e}\mathbf{=}\frac{\mathbf{i}}{{\mathbf{x}}^{\mathbf{2}}} \end{gathered}$$