Multiple choice

A linear, time - invariant, causal continuous time system has a rational transfer function with simple poles at s = - 2 and s = - 4 and one simple zero at s = - 1. A unit step u (t) is applied at the input of the system. At steady state, the output has constant value of 1. The impulse response of this system is

  1. [exp (- 2t) + exp (- 4t)] u (t)

  2. [- 4 exp (- 2t) - 12 exp (- 4t) - exp (- t)] u (t)

  3. [- 4 exp (- 2t) + 12 exp (- 4t) u (t)

  4. [- 0.5 exp (- 2t) + 1.5 exp (- 4t)] u (t)

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C Correct answer
Explanation