At time $\mathrm{t}=0$, a battery of $10 \mathrm{~V}$ is connected across points $\mathrm{A}$ and $\mathrm{B}$ in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them becomes $4$ volt?
[take $\ln 5=1.6, \ln 3=1.1]$
IIT 2010, Advanced
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$ 4=10\left(1-\mathrm{e}^{-t / 4}\right) $
$ \therefore \mathrm{t}=2 \mathrm{sec} .$
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