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Test: Laplace Transform- 2 - Electronics and Communication Engineering (ECE) MCQ


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10 Questions MCQ Test GATE ECE (Electronics) Mock Test Series 2025 - Test: Laplace Transform- 2

Test: Laplace Transform- 2 for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) Mock Test Series 2025 preparation. The Test: Laplace Transform- 2 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Laplace Transform- 2 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Laplace Transform- 2 below.
Solutions of Test: Laplace Transform- 2 questions in English are available as part of our GATE ECE (Electronics) Mock Test Series 2025 for Electronics and Communication Engineering (ECE) & Test: Laplace Transform- 2 solutions in Hindi for GATE ECE (Electronics) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Test: Laplace Transform- 2 | 10 questions in 30 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE ECE (Electronics) Mock Test Series 2025 for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
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Test: Laplace Transform- 2 - Question 1

Consider the function f(t) having Laplace transform,the final value of f(t) would be

Detailed Solution for Test: Laplace Transform- 2 - Question 1


L-1[F(S)] = sin ω0t
f(t) - sin ω0t
So, - 1 < f(∞) <1

Test: Laplace Transform- 2 - Question 2

The transfer function H(S) of a stable system is

the impulse response is

Detailed Solution for Test: Laplace Transform- 2 - Question 2


System is stable
⇒ 

Test: Laplace Transform- 2 - Question 3

If L[f(t)] = then f(0+) and f(∞) are given by

Test: Laplace Transform- 2 - Question 4

Find the laplace transform of time function shown in figure.

Detailed Solution for Test: Laplace Transform- 2 - Question 4


Taking laplace,

Test: Laplace Transform- 2 - Question 5

Consider the following signal:

the laplace transform of above system is

Test: Laplace Transform- 2 - Question 6

Consider a signal x(t) having laplace transform given by,

The time domain signal x(t) is equal to

Test: Laplace Transform- 2 - Question 7

Given that:

then, L[h(t)] is

Detailed Solution for Test: Laplace Transform- 2 - Question 7

Convolution in time domain is multiplication in s-domain.
∴ 

Test: Laplace Transform- 2 - Question 8

A causal LTI system is described by the difference equation, 2y[n] = αy[n- 2] - 2x[n] + βx[n - 1]. The system is stable only if,

Detailed Solution for Test: Laplace Transform- 2 - Question 8


Taking z-transform



For system to bs stable, β can be of any value.

⇒ 
For system to be stable all poles should be inside unity circle.

Test: Laplace Transform- 2 - Question 9

Match List-I (Function in time domain) with List-II (Corresponding Laplace Transform F(S)) and select the correct answer using the codes given below the lists:
List-I
A. 
B.
C.
D.
List-II
1.
2. 
3. 
4. 
Codes:

Test: Laplace Transform- 2 - Question 10

The lapiace transform of 

Detailed Solution for Test: Laplace Transform- 2 - Question 10

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