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}}] $