Govt. Exams
Entrance Exams
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Topics in Electronics (ECE)
Nyquist sampling rate for a signal with maximum frequency 5 kHz is:
Correct Answer:
C. 10 kHz
EXPLANATION
Nyquist sampling rate = 2 × (maximum frequency) = 2 × 5 = 10 kHz
The Z-transform of x[n] = aⁿu[n] is:
Correct Answer:
A. z/(z-a)
EXPLANATION
Z-transform: X(z) = ∑aⁿu[n]z⁻ⁿ = z/(z-a) for |z| > |a|
Which of the following is a causal system?
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.
A continuous-time signal x(t) = 5cos(2πt + π/4) has a fundamental frequency of:
Correct Answer:
A. 1 Hz
EXPLANATION
From x(t) = 5cos(2πt + π/4), ω = 2π, so f = ω/2π = 1 Hz