Let $l, r, c$ and $v$ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $\frac{\ell}{r c v}$ in SI units will be:

Question:

Let $l, r, c$ and $v$ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $\frac{\ell}{r c v}$ in SI units will be:

1. $\left[\mathrm{LA}^{-2}\right]$

2. $\left[\mathrm{A}^{-1}\right]$

3. [LTA]

4. $\left[\mathrm{LT}^{2}\right]$

JEE Main Previous Year Single Correct Question of JEE Main from Chemistry Laws of Motion chapter.

JEE Main Previous Year 2019

Correct Option: 2

Solution:

As we know,

\begin{aligned}

$&{\left[\frac{\ell}{\mathrm{r}}\right]=[\mathrm{T}] \text { and }[\mathrm{cv}]=[\mathrm{AT}]} \\ &\therefore\left[\frac{\ell}{\mathrm{rcv}}\right]=\left[\frac{\mathrm{T}}{\mathrm{AT}}\right]=\left[\mathrm{A}^{-1}\right]$

\end{aligned}

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