1
GATE ECE 2022
MCQ (Single Correct Answer)
+2
-0.67

Two linear time-invariant systems with transfer functions

$${G_1}(s) = {{10} \over {{s^2} + s + 1}}$$ and $${G_2}(s) = {{10} \over {{s^2} + s\sqrt {10} + 10}}$$

have unit step responses y1(t) and y2(t), respectively. Which of the following statements is/are true?

A
y1(t) and y2(t) have the same percentage peak overshoot.
B
y1(t) and y2(t) have the same steady-state value.
C
y1(t) and y2(t) have the same damped frequency of oscillation.
D
y1(t) and y2(t) have the same 2% settling time.
2
GATE ECE 2022
Numerical
+2
-0

The block diagram of a closed-loop control system is shown in the figure. R(s), Y(s), and D(s) are the Laplace transforms of the time-domain signals r(t), y(t), and d(t), respectively. Let the error signal be defined as e(t) = r(t) $$-$$ y(t). Assuming the reference input r(t) = 0 for all t, the steady-state error e($$\infty$$), due to a unit step disturbance d(t), is __________ (rounded off to two decimal places).

GATE ECE 2022 Control Systems - Time Response Analysis Question 5 English

Your input ____
3
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for A0, A1, A2 and A3 are ___________.

GATE ECE 2022 Digital Circuits - Combinational Circuits Question 4 English

A
A0 = 0, A1 = 0, A2 = 1, A3 = 1
B
A0 = 1, A1 = 0, A2 = 1, A3 = 0
C
A0 = 0, A1 = 1, A2 = 1, A3 = 0
D
A0 = 1, A1 = 1, A2 = 0, A3 = 0
4
GATE ECE 2022
MCQ (More than One Correct Answer)
+1
-0.33

Select the Boolean function(s) equivalent to x + yz, where x, y, and z are Boolean variables, and + denotes logical OR operation.

A
x + z + xy
B
(x + y) (x + z)
C
x + xy + yz
D
x + xz + xy
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