# Periodic and Non-Periodic Signals MCQ’s

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This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Periodic and Non-Periodic Signals”.

1. The fundamental period of the signal X (t) = 10 cos2(10 πt) is __________
a) 0.2
b) 0.1
c) 0.5
d) No fundamental period exists

2. The even component of the signal X (t) = ejt is _________________
a) Sin t
b) Cos t
c) Sinh t
d) Cosh t

3. Given the signal
X (t) = cos t, if t<0
Sin t, if t≥0
The correct statement among the following is?
a) Periodic with fundamental period 2π
b) Periodic but with no fundamental period
c) Non-periodic and discontinuous
d) Non-periodic but continuous

4. The odd component of the signal X (t) = ejt is _______________
a) Sin t
b) Cos t
c) Sinh t
d) Cosh t

5. The period of the signal X (t) = 10 sin 5t – 4 cos 9t is _______________
a) \frac{24π}{35}
b) \frac{4π}{35}
c) 2π
d) Non-periodic

6. The period of the signal X (t) = 4 sin 6t + 3 sin \sqrt{3}t is ________________
a) \frac{2π}{3} s
b) \frac{2π}{\sqrt{3}} s
c) 2π s
d) Non-periodic

7. The period of the signal X (t) = 24 + 50 cos 60πt is _______________
a) \frac{1}{30} s
b) 60 π s
c) \frac{1}{60π} s
d) Non-periodic

8. The period of the signal X (t) = 5t – 2 cos 6000 πt is ________________
a) 0.96 ms
b) 1.4 ms
c) 0.4 ms
d) Non-periodic

9. The period of the signal Z (t) = sin3t + cos 4t is _______________
a) periodic without a definite period
b) periodic with a definite period
c) non- periodic over an interval
d) non-periodic throughout

10. The signal X (t) = e^{j(2t + \frac{π}{6})} is ________________
a) Power signal with P = 1
b) Power signal with P = 2
c) Energy signal with E = 2
d) Energy signal with E = 1

11. A discrete time signal is as given below
X [n] = cos \frac{πn}{9} + sin (\frac{πn}{7} + \frac{1}{2})
The period of the signal X [n] is ______________
a) 126
b) 32
c) 252
d) Non-periodic

12. The signal X (t) = e-4t u (t) is _______________
a) Power signal with P = \frac{1}{4}
b) Power signal with P = 0
c) Energy signal with E = \frac{1}{4}
d) Energy signal with E = 0

13. Signal X (t) is as shown in the figure below.

The total energy of X (t) is _______________
a) 0
b) 13
c) \frac{13}{3}
d) \frac{26}{3}

14. A discrete time signal is as given below
X [n] = cos (\frac{n}{8}) cos (\frac{πn}{8})
The period of the signal X [n] is _____________
a) 16 π
b) 16(π+1)
c) 8
d) Non-periodic

15. A discrete time signal is as given below
X [n] = cos (\frac{πn}{2}) – sin (\frac{πn}{8}) + 3 cos (\frac{πn}{4} + \frac{π}{3})
The period of the signal X [n] is _____________
a) 16
b) 4
c) 2
d) Non-periodic

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