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  4. Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension (l/rcv)in SI units will be:

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

JEE MainJEE Main 2019Physical World, Units and Measurements

Solution:

$\bigg[\frac{\ell}{r}\bigg] = T$
$[CV] = AT$
So, $\bigg[\frac{\ell}{rCV}\bigg] \, = \, \frac{T}{AT} \, = \, A^{-1}$