Consider the input with the inputs 4 u(t) and the impulse response

consider-the-input-with-the-inputs-4-u-t-and-the-impulse-response

Consider the input with the inputs 4 u(t) and the impulse response  5 +7 , the time constants of the output are,

A. 0.2, 0.33 and 0.5

B. 4.5 and 7

C. 0.2, 0.4 and 0.7

D. 0.2, 0.1 and 0.25

The question was asked during an interview.

I’m obligated to ask this question of Time Response of Second Order Systems topic in portion Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Right option is A. 0.2, 0.33 and 0.5

The explanation is: Output response so calculated is the inverse Laplace transform of the input and impulse response and hence converting the resultant form in the time constant form time constant can be directly determined.