1
GATE ME 2020 Set 2
MCQ (Single Correct Answer)
+1
-0.33
The solution of $$\frac{{{d^2}y}}{{d{t^2}}} - y = 1,$$ which additionally satisfies $${\left. y \right|_{t = 0}} = {\left. {\frac{{dy}}{{dt}}} \right|_{t = 0}} = 0$$ in the Laplace s-domain is
A
$$\frac{1}{{s\left( {s + 1} \right)\left( {s - 1} \right)}}$$
B
$$\frac{1}{{s\left( {s + 1} \right)}}$$
C
$$\frac{1}{{s\left( {s - 1} \right)}}$$
D
$$\frac{1}{{s - 1}}$$
2
GATE ME 2020 Set 2
MCQ (Single Correct Answer)
+1
-0.33

The equation of motion of a spring-mass-damper system is given by

$$\frac{{{d^2}x}}{{d{t^2}}} + 3\frac{{dx}}{{dt}} + 9x = 10\sin \left( {5t} \right)$$

The damping factor for the system is
A
0.25
B
0.5
C
2
D
3
3
GATE ME 2020 Set 2
MCQ (Single Correct Answer)
+1
-0.33
While I agree ______ his proposal this time, I do not often agree ______ him.
A
to, with
B
with, to
C
with, with
D
to, to
4
GATE ME 2020 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Select the word that fits the analogy:
White : Whitening ∷ Light : _____
A
Lightning
B
Lightening
C
Lighting
D
Enlightening
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