Question

Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.

Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.

(a) Both A and R are true and R is the correct explanation of A

(b) Both A and R are true but R is not correct explanation of A

(c) Both A is True but R is false

(d) Both A is False but R is true

The question was asked by my college director while I was bunking the class.

I'd like to ask this question from Time Response of First Order Systems in portion Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer 1

Correct option is (b) Both A and R are true but R is not correct explanation of A

The best explanation: If response due to one standard signal is known then response due to other signals can also be derived.