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Q.1 For each of the root locus shown below, which one of the plot can be a root locus
plot
a.
b.
c.
d.
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Attem pt Correct Correct Ans. c
FAQ? Have any doubt? Solution
Q.2 The root locus plot of a closed loop feedback system is as shown
The system is under damped and stable for the range of k equal to
a.
b.
c.
d.
Attem pt Correct Correct Ans. c
FAQ? Have any doubt? Solution
Q.3 If ‘tr’ is the rise time of a second order system and ω n is the undamped natural
frequency then
a. tr is directly proportional to ωn
b. tr is directly proportional to
c. tr is inversely proportional to ωn
d. tr is independent to ωn
Attem pt Correct Correct Ans. c
FAQ? Have any doubt? Solution
Q.4 For the open transfer function given below, The point of intersection of
asymptotes on real axis is at
a. 1.6
b. –1.4
c. –0.6
d. 0.6
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Attem pt Correct Correct Ans. d
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Q.5 A system with one pole at –1 + j has 2% settling time equal to 4 sec. If the pole is
shifted to –4 + 3j, then the settling time of the second order system will be
__________ sec.
Attem pt Correct Correct Ans. 1
FAQ? Have any doubt? Solution
Q.6
A system with transfer function is excited by
sin(ωt). The steady state output of the system is zero at ___________ Hz.
Attem pt Correct Correct Ans. 0.318 (0.29 0.33)
FAQ? Have any doubt? Solution
Q.7 The open loop transfer function of a unity feedback system is
The value of ‘K’ for which the closed loop pole of the system will be located at s =
– 6 is _____.
Attem pt Correct Correct Ans. 278.4 (278 279)
FAQ? Have any doubt? Solution
Q.8
The unit impulse response of a system having transfer function is as
shown in the figure below
The value of α is
a. t1
b. t2
c.
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d.
Attem pt Correct Correct Ans. d
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Q.9 Consider the figure shown below
Where S1 , S2 and S3 represents the poles of three different systems. Then
a. the three systems have same peak overshoot.
b. the three systems have same resonant frequency.
c. the three systems have same rise time.
d. the three systems have same envelope for a unit step input.
Attem pt Incorrect Your Ans. c Correct Ans. d
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Q.10 Consider the block diagram of the control system shown in the figure below. The
peak overshoot of the system is 9.49%. The value of the constant k and the steady
state error for a unit ramp input are
a. 0.18 and 0.20
b. 0.36 and 0.36
c. 0.52 and 0.18
d. 0.52 and 2.14
Attem pt Correct Correct Ans. a
FAQ? Have any doubt? Solution
Q.11 The openloop transfer function of a unity feedback control system is given by
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The value of k for which the system will be stable is given as (Assume T2 > T1 >
0).
a. k < 0
b.
c.
d.
Attem pt Correct Correct Ans. d
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Q.12 Consider a transfer function given as
The input to the system is given as a step function 100u(t), then the best
approximate equation of output in time domain can be expressed as
a.
b.
c.
d.
Attem pt Correct Correct Ans. d
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Q.13
A unity feedback system has open loop transfer function The
time at which the response to a unit step input reaches its peak is Then
the value of p is _______ rad/sec.
Attem pt Correct Correct Ans. 12
FAQ? Have any doubt? Solution
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Q.14
For the system the approximate time taken for a step response to reach
98% of its final value is _____________ sec.
Attem pt Correct Correct Ans. 3.91 (3.50 4.50)
FAQ? Have any doubt? Solution
Q.15 Consider the system shown below
The approximate time taken for a unit step response output to reach 98% of its
final value is ________ seconds.
Attem pt Incorrect Your Ans. 4 Correct Ans. 2 (1.50 2.50)
FAQ? Have any doubt? Solution
Q.16 If open loop transfer function of the system is given as
then the value of gain K for one of the closed loop pole located at s = –12 will be
______.
Attem pt Correct Correct Ans. 5760
FAQ? Have any doubt? Solution
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