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GATE Electrical 2025 | Question: 12

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Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the time-constant, in sec, of the system is

$$ \begin{array}{||c|c|c|c|c|c||} \hline \text{Time (sec)} & 0.6 & 1.6 & 2.6 & 10 & \infty \\ \hline \text{Output} & 0.78 & 1.65 & 2.18 & 2.98 & 3 \\ \hline \end{array}$$

  1. $1$
  2. $2$
  3. $3$
  4. $4$

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