If ' $C^{\prime}$ and ' $V^{\prime}$ represent capacity and voltage respectively then what are the dimensions of
$\lambda$, where $\frac{\mathrm{C}}{\mathrm{V}}=\lambda$ ?
Correct Option: , 4
$\lambda=\frac{\mathrm{C}}{\mathrm{V}}=\frac{\mathrm{Q} / \mathrm{V}}{\mathrm{V}}=\frac{\mathrm{Q}}{\mathrm{V}^{2}}$
$\mathrm{V}=\frac{\text { work }}{\mathrm{Q}}$
$\lambda=\frac{\mathrm{Q}^{3}}{(\text { work })^{2}}=\frac{(\mathrm{It})^{3}}{(\text { F.s })^{2}}$
$=\frac{\left[\mathrm{I}^{3} \mathrm{~T}^{3}\right]}{\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]^{2}}=\left[\mathrm{M}^{-2} \mathrm{~L}^{-4} \mathrm{I}^{3} \mathrm{~T}^{7}\right]$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.