# Sampling MCQ’s

This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Sampling”.

1. Find the Nyquist rate and Nyquist interval of sinc[t].
a) 1 Hz, 1 sec
b) 2 Hz, 2 sec
c) \frac{1}{2} Hz, 2 sec
d) 2 Hz, \frac{1}{2}sec

2. Find the Nyquist rate and Nyquist interval of Asinc[t].
a) 2 Hz, 2 sec
b) 1 Hz, 1 sec
c) \frac{1}{2} Hz, 1 sec
d) 1 Hz, \frac{1}{2} sec

3. Find the Nyquist rate and Nyquist interval of sin(2πt).
a) 2 Hz, \frac{1}{2} sec
b) \frac{1}{2} Hz, \frac{1}{2} sec
c) \frac{1}{2} Hz, 2 sec
d) 2 Hz, 2 sec

4. Find the Nyquist rate and Nyquist interval of sinc[200t].
a) 200 Hz, \frac{1}{200} sec
b) 200 Hz, 200 sec
c) \frac{1}{200} Hz, 200 sec
d) 100 Hz, 100 sec

5. Find the Nyquist rate and Nyquist interval for the signal f(t)=\frac{sin⁡500πt}{πt}.
a) 500 Hz, 2 sec
b) 500 Hz, 2 msec
c) 2 Hz, 500 sec
d) 2 Hz, 500 msec

6. Find the Nyquist rate and Nyquist interval for the signal f(t) = 1 + sinc300πt.
a) 300 Hz, 3 msec
b) 300 Hz, 3.3 msec
c) 30 Hz, 3 msec
d) 3 Hz, 3 msec

7. Which of the following is the process of ‘aliasing’?
a) Peaks overlapping
b) Phase overlapping
c) Amplitude overlapping
d) Spectral overlapping

8. Find the Nyquist rate and Nyquist interval for the signal f(t) = \Big[\frac{sin⁡500πt}{πt}\Big]^2.
a) 1000 Hz, 1 msec
b) 1 Hz, 1000 sec
c) 1000 Hz, 1 sec
d) 1000 Hz, 1000 sec

9. Find the Nyquist rate and Nyquist interval for the signal f(t) = rect(200t).
a) ∞ Hz, 0 sec
b) 0 Hz, ∞ sec
c) ∞ Hz, ∞ Hz
d) 0 Hz, 0 sec

10. The sampling frequency of a signal is Fs = 2000 samples per second. Find its Nyquist interval.
a) 0.5 sec
b) 5 msec
c) 5 sec
d) 0.5 msec

11. Determine the Nyquist rate of the signal x(t) = 1 + cos⁡ 2000πt + sin⁡ 4000πt.
a) 2000 Hz
b) 4000 Hz
c) 1 Hz
d) 6000 Hz

12. Find the Nyquist rate and Nyquist interval for the signal f(t) = -10 sin ⁡40πt cos ⁡300πt.
a) 40 Hz, 40 sec
b) 340 Hz, 340 sec
c) 300 Hz, 300 sec
d) 340 Hz, \frac{1}{340} sec

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