Transfer Function- 3 - GATE EE Control Systems Free MCQ Test with solutions

Match List - I (Roots in s-plane) with List - II (Corresponding impulse response) and select the correct answer using the codes given below the lists:
List - I




List - II




Codes:

The transfer function of a system is the ratio of

The transfer function is applicable to

The DC gain of the system represented by the following transfer function is

The unit impulse response of a control system is given by c(t) = -te^-t + e^-t. Its transfer function is

The impulse response of an initially relaxed linear system is e^-3t u(t). To produce a response of te^-3t u(t), the input must be equal to

A linear time invariant system, initially at rest when subjected to a unit step input gave response c(t) = te^-t(t ≥ 0). The transfer function of the system is

A linear time invariant system having input r(t) and output y(t) is represented by the differential equation

The transfer function of the given system is represented as

The open loop transfer function of a system is

A closed loop pole will be located at s = -12
when the value of K is

The singularities of a function are the points in the s-plane at which the function or its derivates

Assertion (A): The final value theorem cannot be applied to a function given by 

Reason (R): The function s F(s) has two poles on the imaginary axis of s-plane.

When two time constant elements are cascaded non-interactively then, the overall transfer function of such an arrangement

The unit impulse response of a unity feedback control svstem whose Open Iood transfer function

The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would be

Consider the function   where F(s) is the Laplace transform of f(t)  is equal to