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Total Questions : 604 | Page 60 of 61 pages
Question 591. 8.  Which one of the following function is strictly bounded?
  1.    fi(t) and f2(t) are orthogonal
  2.    fi(t) and f3(t) are orthogonal
  3.    f2(t) and f3(t) are orthogonal
  4.    fi(t) and f2(t) are orthonomal
 Discuss Question
Answer: Option D. -> fi(t) and f2(t) are orthonomal
Question 592. 7.  Consider a unity-gain feedback control system whose open-loop transfer function is as +1 G(s) = s2 With the value of 'a' set for a phase-margin of ?, the value of unit-4 K(s + 1)(s3 + as2 + 2s + 1) impulse response of the open-loop system at t = 1 second is equal to
  1.    3.4
  2.    2.4
  3.    1.84
  4.    1.74
 Discuss Question
Answer: Option C. -> 1.84
Question 593. 1.  Consider the function f(x) = x2 - x -2. The maximum value off(x) in the closed interval 1-4, 41 is
  1.    18
  2.    (c) -2.25
  3.    B
  4.    e2
 Discuss Question
Answer: Option A. -> 18
Question 594. 2.  The solution of the differential equation 2 d2Yk --2- = y - y2 under the boundary dx conditions (i) y = yi at x = 0 and (ii) y = y2 at x = 00, where k, y1 and y2 are constants, is
  1.    y = (y1 - y2) exp(-x/k2) + y2
  2.    y = (y2 - y1) exp(-x/k) + yi
  3.    y = (y1 - y2) sin h(x/k) + y1
  4.    y = (y1 - y2) exp(-x/k) + y2
 Discuss Question
Answer: Option D. -> y = (y1 - y2) exp(-x/k) + y2
Question 595. 3.  A Hilbert transformer is a
  1.    non-linear system
  2.    non-causal system
  3.    time-varying system
  4.    low-pass system
 Discuss Question
Answer: Option A. -> non-linear system
Question 596. 4.  The transfer function of a plant is T(s) 5 . The second-order (s+5)(s2 +s+1) approximation of T(s) using dominant pole concept is `(a) (s+ 5)(s + I)
  1.    (s +5)(s + I)
  2.    (c) S2+s+1
  3.    s2-1-S-4-1
 Discuss Question
Answer: Option C. -> s2-1-S-4-1
Question 597. 5.  The open-loop transfer function of a plant is given as G(s)= s2. If the plant is operated in a unity feedback configuration, then the lead compensator that can stabilize this control system is10(s-1)10(s+4)
  1.    s+10
  2.    s+2
  3.    10(s+ 2)
  4.    1(s+2)
 Discuss Question
Answer: Option A. -> s+10
Question 598. 7. G(s) ?(s + 1) (s ? 7)For K> 6, the stability characteristic of the open-loop and closed-loop configuration of the system are respectively
  1.    stable and stable
  2.    unstable and stable
  3.    stable and unstable
  4.    unstable and unstable
 Discuss Question
Answer: Option D. -> unstable and unstable
Question 599. 6.  A unity feedback control system has an open-loop transfer function
  1.    5
  2.    5.5
  3.    1
  4.    10
 Discuss Question
Answer: Option D. -> 10
Question 600. 2.  The open-loop transfer function of a plant is given as G(s)= s2. If the plant is operated in a unity feedback configuration, then the lead compensator that can stabilize this control system is10(s-1)10(s+4)
  1.    s+10
  2.    s+2
  3.    10(s+ 2)
  4.    1(s+2)
 Discuss Question
Answer: Option A. -> s+10

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