
Fourier Series Quiz
Authored by Mary Maape
Mathematics
12th Grade

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16 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
A given function f (t) can be represented by a Fourier series if it
(a) is periodic
(b) is single valued
(c) has a finite number of maxima and minima in any one period
(d) all of the above.
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
In a Fourier series expansion of a periodic function, the coefficient a0 represents its
(a) net area per cycle
(b) d.c value
(c) average value over half cycle
(d) average a.c value per cycle.
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
If in the Fourier series of a periodic function, the coefficient a0 is zero, it means that the function has
(a) odd symmetry
(b) even quarter-wave symmetry
(c) odd quarter-wave symmetry
(d) any of the above.
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
A periodic function f (t) is said to possess odd quarter-wave symmetry if
(a) f (t) = f (–t)
(b) f (–t) = –f (t)
(c) f (t) = –f (t + T/2)
(d) both (b) and (c).
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
If the average value of a periodic function over one period is zero and it consists of only odd harmonics then it must be possessing _______ symmetry.
(a) half-wave
(b) even quarter-wave
(c) odd quarter-wave
(d) odd.
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
If in the Fourier series of a periodic function, the coefficient a0 = 0 and an = 0, then it must be having _______ symmetry. (a) odd (b) odd quarter-wave (c) even (d) either (a) or (b).
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
In the case of a periodic function possessing half-wave symmetry, which Fourier coefficient is zero ? (a) an (b) bn (c) a0 (d) none of above.
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