GATE Electronics and Communication Engineering Practice Quiz

Question 1

A continuous-time LTI system has impulse response $h(t)=e^{-2t}u(t)$. If the input is $x(t)=e^{-t}u(t)$, the output $y(t)$ is

Accepted Answer

$(e^{-t}-e^{-2t})u(t)$

Question 2

For an ideal silicon diode circuit, a diode is connected in series with a $1\,\text{k}\Omega$ resistor and a $5\,\text{V}$ DC source. The diode is forward biased with a constant voltage drop of $0.7\,\text{V}$. The diode current is closest to

Accepted Answer

$4.3\,\text{mA}$

Question 3

A 4-bit binary ripple counter is initially at $0000$. After $11$ input clock pulses, its output state is

Accepted Answer

$1011$

Question 4

For a unity negative feedback system with open-loop transfer function $G(s)=\frac{K}{s(s+2)}$, the value of $K$ for which the closed-loop damping ratio is $\zeta=0.5$ is

Accepted Answer

$4$

Question 5

A bandlimited signal has maximum frequency $5\,\text{kHz}$. It is sampled at $8\,\text{kHz}$. The frequency component at $4.5\,\text{kHz}$ will appear after sampling in the baseband as

Accepted Answer

$3.5\,\text{kHz}$

GATE Electronics and Communication Engineering

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GATE Electronics and Communication Engineering Practice Quiz

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