GATE ME 2022 Set 2 | Transform Theory Question 2 | Engineering Mathematics

F(t) is a periodic square wave function as shown. It takes only two values, 4 and 0, and stays at each of these values for 1 second before changing. What is the constant term in the Fourier series expansion of F(t)?

GATE ME 2022 Set 2 Engineering Mathematics - Transform Theory Question 2 English

GATE ME 2022 Set 1

MCQ (Single Correct Answer)

-0.33

The Fourier series expansion of x³ in the interval −1 ≤ x < 1 with periodic continuation has

only sine terms

only cosine terms

both sine and cosine terms

only sine terms and a non-zero constant

GATE ME 2015 Set 2

MCQ (Single Correct Answer)

-0.3

Laplace transform of $$\cos \left( {\omega t} \right)$$ is

$${s \over {{s^2} + {\omega ^2}}}$$

$${\omega \over {{s^2} + {\omega ^2}}}$$

$${s \over {{s^2} - {\omega ^2}}}$$

$${\omega \over {{s^2} - {\omega ^2}}}$$

GATE ME 2015 Set 2

MCQ (Single Correct Answer)

-0.3

The Laplace transform of $${e^{i5t}}$$ where $$i = \sqrt { - 1} ,$$

$${{s - 5i} \over {{s^2} - 25}}$$

$${{s + 5i} \over {{s^2} + 25}}$$

$${{s + 5i} \over {{s^2} - 25}}$$

$${{s - 5i} \over {{s^2} + 25}}$$

Questions Asked from Marks 1

GATE ME 2022 Set 2 (1) GATE ME 2022 Set 1 (1) GATE ME 2015 Set 2 (2) GATE ME 2015 Set 1 (1) GATE ME 2015 Set 3 (1) GATE ME 2014 Set 4 (1) GATE ME 2013 (1) GATE ME 2012 (1) GATE ME 2010 (1) GATE ME 2009 (1) GATE ME 2007 (1) GATE ME 1999 (1) GATE ME 1997 (1) GATE ME 1994 (1) GATE ME 1993 (1)

GATE ME Subjects

Engineering Mechanics

Machine Design

Strength of Materials

Heat Transfer

Production Engineering

Industrial Engineering

Turbo Machinery

Theory of Machines

Engineering Mathematics

Fluid Mechanics

Thermodynamics

General Aptitude