Home Subjects Electronics (ECE) Signals & Systems

Electronics (ECE)
Signals & Systems

Analog/digital electronics, communication

34 Q 4 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 31–34 of 34
Topics in Electronics (ECE)
Nyquist sampling rate for a signal with maximum frequency 5 kHz is:
A 2.5 kHz
B 5 kHz
C 10 kHz
D 20 kHz
Correct Answer:  C. 10 kHz
EXPLANATION

Nyquist sampling rate = 2 × (maximum frequency) = 2 × 5 = 10 kHz

Test
The Z-transform of x[n] = aⁿu[n] is:
A z/(z-a)
B 1/(z-a)
C z/(z+a)
D a/(z-1)
Correct Answer:  A. z/(z-a)
EXPLANATION

Z-transform: X(z) = ∑aⁿu[n]z⁻ⁿ = z/(z-a) for |z| > |a|

Test
Which of the following is a causal system?
A y[n] = x[n+1] + x[n]
B y[n] = x[n] + x[n-1]
C y[n] = x[-n]
D y[n] = x[n] + x[n+2]
Correct Answer:  B. y[n] = x[n] + x[n-1]
EXPLANATION

A causal system does not depend on future values. Only option B satisfies this condition.

Test
A continuous-time signal x(t) = 5cos(2πt + π/4) has a fundamental frequency of:
A 1 Hz
B 2 Hz
C 0.5 Hz
D 4 Hz
Correct Answer:  A. 1 Hz
EXPLANATION

From x(t) = 5cos(2πt + π/4), ω = 2π, so f = ω/2π = 1 Hz

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