A) \[[{{A}^{-1}}]\]
B) \[[{{A}^{-2}}]\]
C) \[[A]\]
D) \[[{{A}^{2}}]\]
Correct Answer: A
Solution :
\[\frac{[L]}{[R]}\] has the dimensions of time, because\[\frac{[L]}{[R]}\] is the time constant of L-R circuit. \[\left[ \frac{L}{R} \right]=[T]\] Charge = capacitance\[\times \]potential difference \[Q=W[Q][AT]\] \[\left[ \frac{L}{RCV} \right]=\left[ \frac{L}{Q} \right]\] \[=\left[ \frac{T}{AT} \right]\] \[\left[ \frac{L}{RCV} \right]=[{{A}^{-1}}]\]
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