GATE ECE 2016 Set 1
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GATE ECE

Consider the oscillator circuit shown in the figure. The function of the network (shown in dotted lines) consisting of t
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Consider the constant current source shown in the figure below. Let $$\beta $$ represent the current gain of the trans
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The following signal Vi of peak voltage 8V is applied to the non-inverting terminal of an ideal Opamp. The transistor ha
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An ideal opamp has voltage source V1, V3, V5, ......, VN-1, connected to the non- inverting input and V2, V4, V6,
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A p-i-n photo diode of responsivity 0.8A/W is connected to the inverting input of an ideal opamp as shown in the figure,
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A super heterodyne receiver operates in the frequency range of 58 MHz – 68 MHz. The intermediate frequency f1F and local
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Consider binary data transmission at a rate of 56 kbps using baseband binary pulse amplitude modulation (PAM) tha
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An antenna pointing in a certain direction has a noise temperature of 50K. The ambient temperature is 290K. The antenna
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Consider a discreet memoryless source with alphabet $$S = \left\{ {{s_0},\,{s_1},\,{s_2},\,{s_3},\,{s_{4......}}} \right
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A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is re
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An analog pulse s(t) is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is r(t) =
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The open-loop transfer function of a unity-feedback control system is $$$G\left(S\right)\;=\frac K{s(s\;+\;2)}$$$ For t
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Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Rou
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The open-loop transfer function of a unity-feedback control system is $$$G\left(s\right)=\frac K{s^2+5s+5}$$$ The value
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The transfer function of a linear time invariant system is given by $$H\left(s\right)\;=\;2s^4\;-\;5s^3\;+\;5s\;-\;2$$.
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A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function
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The output of the combinational circuit given below is
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The functionality implemented by the circuit below is
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Identify the circuit below.
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Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface charge densities of 20 nC/m2 , −4 nC/m2 and
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The propagation constant of a lossy transmission line is (2 + j5) $${m^{ - 1}}$$ and its characteristic impedance is (50
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The electric field of a uniform plane wave travelling along the negative $$z$$ direction is given by the following equat
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An antenna pointing in a certain direction has a noise temperature of $$50K$$. The ambient temperature is $$290K$$. The
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Two lossless X-band horn antennas are separated by a distance of $$200\lambda $$. The amplitude reflection coefficients
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The far-zone power density radiated by a helical antenna is approximated as: $$$\overrightarrow W {\,_{rad}} = \overrigh
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A small percentage of impurity is added to an intrinsic semiconductor at 300 K. Which one of the following statements is
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Consider the following statements for a metal oxide semiconductor field effect transistor (MOSFET): P: As channel length
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What is the voltage Vout in the following circuit?
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Consider an n-channel metal oxide semiconductor field effect transistor (MOSFET) with a gate-to-source voltage of 1.8 V.
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Let $${M^4} = {\rm I}$$ (where $${\rm I}$$ denotes the identity matrix) and $$M \ne {\rm I},\,\,{M^2} \ne {\rm I}$$ and
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A sequence $$x\left[ n \right]$$ is specified as $$$\left[ {\matrix{ {x\left[ n \right]} \cr {x\left[ {n - 1} \
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The integral $$\,\,{1 \over {2\pi }}\int {\int_D {\left( {x + y + 10} \right)dxdy\,\,} } $$ where $$D$$ denotes the disc
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The region specified by $$\left\{ {\left( {\rho ,\varphi ,{\rm Z}} \right):3 \le \rho \le 5,\,\,{\pi \over 8} \le \ph
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Given the following statements about a function $$f:R \to R,$$ select the right option: $$P:$$ If $$f(x)$$ is continuou
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The second moment of a Poisson-distributed random variables is $$2.$$ The mean of the random variable is _______.
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Two random variables $$X$$ and $$Y$$ are distributed according to $$${f_{X,Y}}\left( {x,y} \right) = \left\{ {\matrix{
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In the following integral, the contour $$C$$ encloses the points $${2\pi j}$$ and $$-{2\pi j}$$. The value of the integr
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In an 8085 system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options
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In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is _________.
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An AC voltage source V = 10 sin(t) volts is applied to the following network. Assume that R1 = 3 kΩ, R2 = 6 kΩ and R3 =
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Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A&B\\C&D\end{bmatrix}$$. If the n
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A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all
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Which one of the following is an eight function of the class of all continuous-time, linear, time- invariant systems u(t
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The Laplace transform of the casual periodic square wave of period T shown in the figure below is
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A sequence x$$\left[ n \right]$$ is specified as $$\left[ {\matrix{ {x\left[ n \right]} \cr {x\left[ {n - 1} \ri
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Consider the sequence $$x\left[ n \right]$$= $${a^n}u\left[ n \right] + {b^{\partial n}}u\left[ n \right]$$ , where u[n
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Consider the signal $$x\left[ n \right] = 6\delta \left[ {n + 2} \right] + 3\delta \left[ {n + 1} \right] + 8\delta \lef
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A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The
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A continuous -time function $$x\left( t \right)$$ is periodic with period $$T$$. The function is sampled uniformly with
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A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions u
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General Aptitude

In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits,
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Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is f
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