GATE ECE 1993 | Continuous Time Signal Laplace Transform Question 31 | Signals and Systems

If $$F\left( s \right) = L\left[ {f\left( t \right)} \right] = {K \over {\left( {s + 1} \right)\,\left( {{s^2} + 4} \right)}}$$ then $$\matrix{ {Lim\,f\,\left( t \right)} \cr {t \to \infty } \cr } $$ is given by

K/4

zero

infinite

undefined

GATE ECE 1988

MCQ (Single Correct Answer)

-0.6

The Laplace transform of a function f(t)u(t), where f(t) is periodic with period T, is A(s) times the Laplace transform of its first period. Then

A(s) = s

A(s) = 1/(1-exp(-Ts))

A(s) = 1/(1+exp(-Ts))

A(s) = exp (Ts)

GATE ECE 1987

MCQ (Single Correct Answer)

-0.6

Laplace transform of the functions t u(t) and u(t) sin(t) are respectively:

$${1 \over {{s^2}}},\,{s \over {{s^2} + 1}}$$

$${1 \over s},\,{1 \over {{s^2} + 1}}$$

$${1 \over {{s^2}}},\,{1 \over {{s^2} + 1}}$$

$$s,{s \over {{s^2} + 1}}$$

Questions Asked from Marks 2

GATE ECE 2016 Set 1 (1) GATE ECE 2015 Set 2 (1) GATE ECE 2015 Set 1 (1) GATE ECE 2014 Set 4 (3) GATE ECE 2014 Set 3 (1) GATE ECE 2014 Set 1 (1) GATE ECE 2013 (1) GATE ECE 2011 (1) GATE ECE 2010 (1) GATE ECE 2009 (1) GATE ECE 2006 (1) GATE ECE 2005 (1) GATE ECE 2002 (1) GATE ECE 1996 (1) GATE ECE 1993 (2) GATE ECE 1988 (1) GATE ECE 1987 (1)

GATE ECE Subjects

Signals and Systems

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics