A resistance $R$ and a capacitance $C$ are connected in series to a battery of negligible internal resistance through a key. The key is closed at $t = 0$. If after $t\, sec$ the voltage across the capacitance was seven times the voltage across $R$, the value of $t$ is
  • A$3\,RC\,\ln \,2$
  • B$2\,RC\,\ln \,2$
  • C$2\,RC\,\ln \,7$
  • D$3\,RC\,\ln \,7$
AIEEE 2012, Diffcult
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