ExamSIDE
Questions (Powered by ExamGOAL)
Signals and Systems
Linear Time Invariant Systems
Marks 1Marks 2Marks 4Marks 5
Continuous and Discrete Time Signals
Marks 1Marks 2
Continuous Time Signal Fourier Transform
Marks 1Marks 2
Continuous Time Periodic Signal Fourier Series
Marks 1Marks 2Marks 5
Discrete Time Signal Z Transformation
Marks 1Marks 2
Miscellaneous
Marks 2
Continuous Time Signal Laplace Transform
Marks 1Marks 2
Sampling Theorem
Marks 1Marks 2
Next
1
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

If $u(t)$ is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal $x(t) = e^{t^2}[u(t-1)-u(t-10)]$ is

A

$-\infty < \text{Re}(s) < \infty$

B

$\text{Re}(s) \ge 10$

C

$\text{Re}(s) \le 1$

D

$1 \le \text{Re}(s) \le 10$

2
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of f(t)=$$2\sqrt{t/\mathrm\pi}$$ is $$s^{-3/2}$$. The Laplace transform of g(t)=$$\sqrt{1/\mathrm{Ï€t}}$$ is
A
$$\left(3s^{-5/2}\right)/2$$
B
$$s^{-1/2}$$
C
$$s^{1/2}$$
D
$$s^{3/2}$$
3
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
A
All the poles of the system must lie on the left side of the j$$\mathrm\omega$$ axis
B
Zeros of the system can lie anywhere in the s-plane
C
All the poles must lie within $$\left|s\right|=1$$
D
All the roots of the characteristic equation must be located on the left side of the j$$\mathrm\omega$$ axis
4
GATE EE 2012
MCQ (Single Correct Answer)
+1
-0.3
The unilateral Laplace transform of f(t) is $$\frac1{s^2\;+\;s\;+\;1}$$. The unilateral Laplace transform of tf(t) is
A
$$-\frac s{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$
B
$$-\frac{2s+1}{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$
C
$$\frac s{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$
D
$$\frac{2s+1}{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$
Next
Questions Asked from Marks 1
GATE EE 2024 (1) GATE EE 2015 Set 2 (1) GATE EE 2013 (1) GATE EE 2012 (1) GATE EE 2002 (1) GATE EE 1995 (1)
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement