JEE Main 12 Jan 2019 Evening Question 16

Question: Let $ l,r,c $ and $ v $ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $ \frac{l}{rcv} $ in SI units will be [JEE Main Online Paper Held On 12-Jan-2019 Evening]

Options:

A) $ [L{A^{-2}}] $

B) $ [LT^{2}] $

C) $ [{A^{-1}}] $

D) $ [LTA] $

Show Answer

Answer:

Correct Answer: C

Solution:

For LR circuit, time $ =[ \frac{l}{r} ]=[T] $ For capacitor $ C,[q]=[cv]=[AT] $

So, $ [ \frac{l}{rcv} ]=\frac{[T]}{[AT]}=[{A^{-1}}] $