The Fourier series of an odd periodic function contains odd harmonics only even

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Question
The Fourier series of an odd periodic function contains
Options
A. odd harmonics only
B. even harmonics only
C. cosine harmonics only
D. sine harmonics only

Correct Answer

sine harmonics only

Explanation

For an odd function f(- x) = - f(x) Hence, only sine terms.

Signals and Systems problems

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1. The ROC of sequence in the Z.T. of sequence x[n] = aⁿ ? [n] is
Options
A. z > a
B. z < a
C. |z| > a
D. |z| < a

2. A first order system will never be able to give a __________ response
1. band stop
2. band pass
3. all pass
Choose the correct option
Options
A. 1, 2, 3 true
B. 1 and 3 true, 2 false
C. 1, 2 are true 3 is false
D. 1, 2 are false, 3 is true

3. In Laplace transform, multiplication by e^-at in time domain becomes
Options
A. translation by a in s domain
B. translation by (-a) in s domain
C. multiplication by e^-as in s domain
D. none of the above

5. A box has 4 white and 3 red balls. Two balls are taken out in succession. What is the probability that both are white?
Options
A.
B.
C.
D.

6. If transfer function of a system is H(z) = 6 + z^-1 + z^-2 then system is
Options
A. minimun phase
B. maximum phase
C. mixed phase
D. none

8. Assertion (A): If , the initial value of i(t) is 5A
Reason (R): As per initial vaue theroem
Options
A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true

10. In an ac circuit the fundamental component of current wave lags the corresponding voltage wave by 20�. The third harmonic component of current wave lags the corresponding voltage by an angle.
Options
A. less than 20�
B. more than 20�
C. equal to 20�
D. equal to or more than 20�

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