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JEE Main 2019 (12 Jan, Shift 2) · Units & Dimensions

Units & Dimensions question from JEE Main 2019 (12 Jan, Shift 2)

Q76JEE Main 2019 · 12 JAN · SHIFT 2Easy

Units & Dimensions

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

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Answer: (a)

$\frac{\ell}{r}$ is a time constant: $[\mathrm{T}]$ .
$CV = Q$ , charge: $[\mathrm{AT}]$ .
$\frac{\ell}{rCV} = \frac{[\mathrm{T}]}{[\mathrm{AT}]} = [\mathrm{A^{-1}}]$
So the answer is (a) $[\mathrm{A^{-1}}]$ .

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