Multiple Choice QuestionsEngineering Mathematics - IIUnit III: Fourier series and Integral CalculusUnit IIIa:Type: Fourier series and Harmonic Analysis

Question 1

Fourier coefficient in the Fourier series of and is

Option A

Option B

Option C

Option D

Option E

Correct AnswerA

Explanation(Optional)

Difficulties2

Sub TopicIIIa

Question 2

Fourier coefficient in the Fourier series of and is

Option A

Option B

Option C

Option D

Option E

Correct AnswerC

Explanation(Optional)

Difficulties2

Sub TopicIIIa

Question 3

and period is . Fourier series is represented by , then Fourier coefficient is

Option A

Option B

Option C

Option D

Option E

Correct AnswerA

Explanation(Optional)

Difficulties2

Sub TopicIIIa

Question 4

For Half range cosine series of and period is . Fourier series is represented by , then Fourier coefficient is

Option A

Option B

Option C

Option D

Option E

Correct AnswerD

Explanation(Optional)

Difficulties2

Sub TopicIIIa

Question 5

Fourier series representation of periodic function is , then value of

Option A

Option B

Option C

Option D

Option E

Correct AnswerD

Explanation(Optional)

Difficulties2

Sub TopicIIIa

Question 6

The value of in Harmonic analysis of for the following tabulated data

0123456

918242826209

1

1

Option A

Option B

Option C

Option D

Option E

Correct AnswerA

Explanation(Optional)

Difficulties2

Sub TopicIIIa

Question 7

The value of in Harmonic analysis of for the following tabulated data

0306090120150180

09.214.417.817.311.70

0

0

0

Option A

Option B

Option C

Option D

Option E

Correct AnswerB

Explanation(Optional)

Difficulties2

Sub TopicIIIa

Question 8The value of in the Fourier series of f(x) = is

Option A) / n

Option B1/ n

Option C-1)

Option D

Option E

Correct AnswerD

Explanation(Optional)No Explanation

Difficulties2

Sub TopicIII a

Question 9The Fourier series for the functionf(x) = Contains only

Option A

Option BCosine term

Option CSine and cosine term

Option D

Option E

Correct AnswerB

Explanation(Optional)No Explanation

Difficulties2

Sub TopicIII a

Question 10The graph of odd function is symmetric about

Option AOpposite quadrant

Option Bx-axis

Option Cy-axis

Option D

Option E

Correct AnswerA

Explanation(Optional)No Explanation

Difficulties1

Sub TopicIII a

Question 11If f(x)=xsinx in the interval 0 then the fourier coeffitient in is

Option A-2

Option B-1

Option C0

Option D

Option E

Correct AnswerB

Explanation(Optional)No Explanation

Difficulties2

Sub TopicIII a

Question 12An example for a function which neither even nor odd

Option Axsinx

Option B

Option Ccosx

Option D

Option E

Correct AnswerB

Explanation(Optional)No Explanation

Difficulties1

Sub TopicIII a

Question 13If f(x) = 2 - in 0