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GATE ECE 2016 Set 1

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE ECE

Consider the oscillator circuit shown in the figure. The function of the network...
Consider the constant current source shown in the figure below. Let $$\beta $$ ...
The following signal V<sub>i</sub> of peak voltage 8V is applied to the non-inve...
An ideal opamp has voltage source V<sub>1</sub>, V<sub>3</sub>, V<sub>5</sub>, ....
A p-i-n photo diode of responsivity 0.8A/W is connected to the inverting input o...
A super heterodyne receiver operates in the frequency range of 58 MHz – 68 MHz. ...
Consider binary data transmission at a rate of 56 kbps using baseband binary pu...
An antenna pointing in a certain direction has a noise temperature of 50K. The a...
Consider a discreet memoryless source with alphabet $$S = \left\{ {{s_0},\,{s_1}...
A digital communication system uses a repetition code for channel encoding/decod...
An analog pulse s(t) is transmitted over an additive white Gaussian noise (AWGN)...
The open-loop transfer function of a unity-feedback control system is $$$G\left(...
Match the inferences X, Y, and Z, about a system, to the corresponding propertie...
The open-loop transfer function of a unity-feedback control system is $$$G\left(...
The transfer function of a linear time invariant system is given by $$H\left(s\r...
A closed-loop control system is stable if the Nyquist plot of the corresponding ...
The output of the combinational circuit given below is <img class="question-imag...
Identify the circuit below. <img class="question-image" src="https://gateclass....
The functionality implemented by the circuit below is <img class="question-imag...
Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface cha...
The propagation constant of a lossy transmission line is (2 + j5) $${m^{ - 1}}$$...
The electric field of a uniform plane wave travelling along the negative $$z$$ d...
An antenna pointing in a certain direction has a noise temperature of $$50K$$. T...
Two lossless X-band horn antennas are separated by a distance of $$200\lambda $$...
The far-zone power density radiated by a helical antenna is approximated as: $$$...
A small percentage of impurity is added to an intrinsic semiconductor at 300 K. ...
Consider the following statements for a metal oxide semiconductor field effect t...
What is the voltage V<sub>out</sub> in the following circuit? <img alt="gate 201...
Consider an n-channel metal oxide semiconductor field effect transistor (MOSFET)...
Let $${M^4} = {\rm I}$$ (where $${\rm I}$$ denotes the identity matrix) and $$M ...
A sequence $$x\left[ n \right]$$ is specified as $$$\left[ {\matrix{ {x\left...
The integral $$\,\,{1 \over {2\pi }}\int {\int_D {\left( {x + y + 10} \right)dxd...
Given the following statements about a function $$f:R \to R,$$ select the right ...
The region specified by <br>$$\left\{ {\left( {\rho ,\varphi ,{\rm Z}} \right):...
The second moment of a Poisson-distributed random variables is $$2.$$ The mean o...
Two random variables $$X$$ and $$Y$$ are distributed according to $$${f_{X,Y}}\...
In the following integral, the contour $$C$$ encloses the points $${2\pi j}$$ an...
In an 8085 system, a PUSH operation requires more clock cycles than a POP operat...
<p>In the circuit shown in the figure, the maximum power (in watt) delivered to ...
An AC voltage source V = 10 sin(t) volts is applied to the following network. As...
Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A...
A network consisting of a finite number of linear resistor (R), inductor (L), an...
Which one of the following is an eight function of the class of all continuous-t...
The Laplace transform of the casual periodic square wave of period T shown in th...
A sequence x$$\left[ n \right]$$ is specified as $$\left[ {\matrix{ {x\left[ ...
Consider the sequence <br> $$x\left[ n \right]$$= $${a^n}u\left[ n \right] + {b^...
Consider the signal $$x\left[ n \right] = 6\delta \left[ {n + 2} \right] + 3\del...
A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dira...
A continuous -time function $$x\left( t \right)$$ is periodic with period $$T$$....
A first-order low-pass filter of time constant T is excited with different input...

General Aptitude

In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% a...
Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan live...

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