Physics - Unit & Dimension Question with Solution | TestHub

According to Ohm's law,

$V=IR$

$\therefore R=\frac{V}{I}$

But$V=\frac{W}{q}$

$=\frac{W}{It}$$\left[\because q=It\right]$

$\therefore R=\frac{W/It}{I}$

$=\frac{W}{I^{2}t}$

Hence,$\left[R\right]=\frac{\left[W\right]}{\left[I^2\right]\left[t\right]}=\frac{\left[\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-2}\right]}{\left[{\mathrm{A}}^2\mathrm{T}\right]}$

$=\left[\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-3}{\mathrm{A}}^{-2}\right]$