JEE PYQ: Units And Dimensions Question 23
Question 23 - 2019 (12 Jan Shift 1)
Let $l$, $r$, $c$ and $v$ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $\frac{l}{rcv}$ in SI units will be:
(1) $[LA^{-2}]$
(2) $[A^{-1}]$
(3) $[LTA]$
(4) $[LT^2]$
Show Answer
Answer: (2)
Solution
$\frac{l}{r} = [T]$ and $[cv] = [AT]$. Therefore $\frac{l}{rcv} = \frac{T}{AT} = [A^{-1}]$.