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1

GATE EE 2015 Set 2

MCQ (Single Correct Answer)
The unit step response of a system with the transfer function $$G\left( s \right) = {{1 - 2s} \over {1 + s}}$$ is given by which one of the following waveforms?
A
B
C
D
2

GATE EE 2013

MCQ (Single Correct Answer)
The open-loop transfer function of a $$dc$$ motor is given as $${{\omega \left( s \right)} \over {{V_a}\left( s \right)}} = {{10} \over {1 + 10s}}.$$ When connected in feedback as shown below, the approximate value of $${K_a}$$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is
A
$$1$$
B
$$5$$
C
$$10$$
D
$$100$$
3

GATE EE 2011

MCQ (Single Correct Answer)
The response $$h(t)$$ of a linear time invariant system to an impulse $$\delta \left( t \right),$$ under initially relaxed condition is $$h\left( t \right) = \,{e^{ - t}} + {e^{ - 2t}}.$$ The response of this system for a unit step input $$u(t)$$ is
A
$$u\left( t \right) + {e^{ - t}} + {e^{ - 2t}}$$
B
$$\left( {{e^{ - t}} + {e^{ - 2t}}} \right)u\left( t \right)$$
C
$$\left( {1.5 - {e^{ - t}} - 0.5{e^{ - 2t}}} \right)u\left( t \right)$$
D
$${e^{ - t}}\delta \left( t \right) + {e^{ - 2t}}u\left( t \right)$$
4

GATE EE 2011

MCQ (Single Correct Answer)
A two-loop position control system is shown below.
The gain $$k$$ of the Tacho-generator influences mainly the
A
Peak overshoot
B
Natural frequency of oscillation
C
Phase shift of the closed loop transfer function at very low frequencies $$\left( {\omega \to \infty } \right)$$
D
Phase shift of the closed loop transfer function at very low frequencies $$\left( {\omega \to \infty } \right)$$

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