GATE EE 2015 Set 2 | Continuous Time Signal Laplace Transform Question 1 | Signals and Systems

GATE EE 2015 Set 2

MCQ (Single Correct Answer)

-0.3

The Laplace transform of f(t)=$$2\sqrt{t/\mathrm\pi}$$ is $$s^{-3/2}$$. The Laplace transform of g(t)=$$\sqrt{1/\mathrm{πt}}$$ is

$$\left(3s^{-5/2}\right)/2$$

$$s^{-1/2}$$

$$s^{1/2}$$

$$s^{3/2}$$

GATE EE 2013

MCQ (Single Correct Answer)

-0.3

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

All the poles of the system must lie on the left side of the j$$\mathrm\omega$$ axis

Zeros of the system can lie anywhere in the s-plane

All the poles must lie within $$\left|s\right|=1$$

All the roots of the characteristic equation must be located on the left side of the j$$\mathrm\omega$$ axis

GATE EE 2012

MCQ (Single Correct Answer)

-0.3

The unilateral Laplace transform of f(t) is $$\frac1{s^2\;+\;s\;+\;1}$$. The unilateral Laplace transform of tf(t) is

$$-\frac s{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$

$$-\frac{2s+1}{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$

$$\frac s{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$

$$\frac{2s+1}{\displaystyle\left(s^2\;+\;s\;+\;1\right)^2}$$

GATE EE 2002

MCQ (Single Correct Answer)

-0.3

Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is

$$\underset{s\rightarrow0}{L\mathrm{im}\;}Y\left(s\right)$$

$$\underset{s\rightarrow\infty}{L\mathrm{im}\;}Y\left(s\right)$$

$$\underset{s\rightarrow0}{L\mathrm{im}\;}sY\left(s\right)$$

$$\underset{s\rightarrow\infty}{L\mathrm{im}\;}sY\left(s\right)$$

GATE EE Subjects

Electric Circuits

Network Elements Network Theorems Three Phase Circuits Transient Response Sinusoidal Steady State Analysis Graph Theory Two Port Networks

Electromagnetic Fields

Time Varying Fields Electrostatics Magnetostatics

Signals and Systems

Continuous and Discrete Time Signals Linear Time Invariant Systems Continuous Time Signal Fourier Transform Discrete Time Signal Z Transformation Continuous Time Signal Laplace Transform Sampling Theorem Continuous Time Periodic Signal Fourier Series Miscellaneous

Electrical Machines

Induction Machines D.C Machines Synchronous Machines Transformers

Engineering Mathematics

Linear Algebra Differential Equations Calculus Probability and Statistics Numerical Methods Vector Calculus Transform Theory Complex Variable

General Aptitude

Verbal Ability Numerical Ability

Power System Analysis

Parameters and Performance of Transmission Lines Power Generation Cost Power System Stability Symmetrical Components and Symmetrical and Unsymmetrical Faults Circuit Breaker Switch Gear and Protection Per Unit System Load Flow Studies High Voltage Dc Transmission Generating Power Station

Electrical and Electronics Measurement

Basic of Indicating Instruments Error Analysis and Measurement Measurement of Resistance and A.C Bridges Measurement of Energy and Power Digital Voltmeters Questions Potentiometer and Instrument Transformers Cathode Ray Oscilloscope

Analog Electronics

Diode Circuits and Applications Bjt and Mosfet Biasing Small Signal Modeling Feedback Amplifiers and Oscillator Circuits Operational Amplifier Frequency Response 555 Timer

Control Systems

Block Diagram and Signal Flow Graph Polar Nyquist and Bode Plot State Variable Analysis Basics of Control System Routh Hurwitz Stability Time Response Analysis Root Locus Techniques Controller and Compensator

Power Electronics

Choppers and Commutation Techniques Single and Three Phase Rectifier Power Semiconductor Devices Ac Voltage Controllers Inverters

Digital Electronics

Boolean Algebra Logic Gates Combinational Circuits Minimization Logic Families and Memories Sequential Circuits Analog to Digital and Digital to Analog Converter Microprocessor