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In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is $2.5\: volts$. At the input, unit step voltage is applied, i.e. $v_{IN}\left ( t \right ) = u\left ( t \right )\:volts$. Also, at $t = 0$, the voltage across each of the capacitors is zero.

                         

The time $t$, in milliseconds, at which the output voltage $v_{OUT}$ crosses $-10\: V$ is 

  1. $2.5$
  2. $5$
  3. $7.5$
  4. $10$
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