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(C) The time constant of an $RC$ circuit is given by $	au = R_{eq}C$.In the given circuit,there is a resistor $R = 100 \Omega$ in series with a paral

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$2.1$

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(C) The time constant of an $RC$ circuit is given by $	au = R_{eq}C$.In the given circuit,there is a resistor $R = 100 \Omega$ in series with a parallel combination of two identical diodes.Each diode has a resistance of $10 \Omega$ in the forward bias condition.The equivalent resistance of the two diodes in parallel is $R_d = \frac{10 	imes 10}{10 + 10} = 5 \Omega$.The total resistance of the circuit is $R_{total} = R + R_d = 100 \Omega + 5 \Omega = 105 \Omega$.The capacitance is $C = 20 \mu	ext{F} = 20 	imes 10^{-6} 	ext{ F}$.Thus,the time constant $	au = R_{total} 	imes C = 105 \Omega 	imes 20 	imes 10^{-6} 	ext{ F} = 2100 	imes 10^{-6} 	ext{ s} = 2.1 	imes 10^{-3} 	ext{ s}$.Comparing this with $\alpha 	imes 10^{-3} 	ext{ s}$,we get $\alpha = 2.1$.

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