Represent capacity respectivelylCAPACITANCE| JEE-MAIN-2021

JEE MAIN 2021

26-02-21

Question

If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $\lambda$, where $\frac{C}{V}=\lambda$ ?

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Solution

$\begin{aligned} & \lambda=\frac{C}{V}=\frac{Q / V}{V}=\frac{Q}{V^2} \\ & V=\frac{\text { work }}{Q} \\ & \lambda=\frac{Q_3}{(\text { work })^2}=\frac{(I t)^3}{(F \cdot s)^2} \\ & =\frac{\left[I^3 T^3\right]}{\left[M L^2 T^{-2}\right]^2}=\left[M^{-2} L^{-4} I^3 T^7\right]\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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