The figure shows an experimental plot for discharging of a capacitor in an $R-C$ circuit. The time constant $\tau$ of this circuit lies between
A $100\; sec$ and $150\; sec$
B $150\; sec$ and $200\; sec$
C $0\; sec$ and $50\; sec$
D $50\; sec$ and $100\; sec$
AIEEE 2012, Medium
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A $100\; sec$ and $150\; sec$
a $V = V _{0} e ^{- t / RC }$
$t =\tau$
$V =\frac{ V _{0}}{ e }$
$V =0.37 V _{0}$
$V =0.37 \times 25=9.25 V$
which is in between $100\; sec$ and $150\; sec$.
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