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GATE ECE 2012

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

The diodes and capacitors in the circuit shown are ideal. The voltage v(t) acros...
The current i<sub>b</sub> through the base of a silicon npn transistor is $$1\;+...
The voltage gain A<sub>v</sub> of the circuit shown below is <img class="questio...
The circuit shown is a <img class="question-image" src="https://gateclass.cdn.ex...
The signal m(t) as shown is applied both to a phase modulator (with k<sub>p</sub...
A source alphabet consists of N symbols with the probability of the first two sy...
In a base band communications link, frequencies up to 3500 Hz are used for signa...
Two independent random variable X and Y are uniformly distributed in the interva...
The power spectral density of a real process X(t) for positive frequencies is sh...
A BPSK scheme operating over an AWGN channel with noise power spectral density o...
A binary symmetric channel (BSC) has a transition probability of 1/8. If the bin...
The feedback system shown below oscillates at 2 rad/s when <img alt="gate 2012 c...
A system with transfer function g(s) = $${{\left( {{s^2} + 9} \right)\left( {s ...
The transfer function of a compensator is given as $${G_C}(s) = {{s + a} \over {...
The transfer function of a compensator is given as $${G_C}(s) = {{s + a} \over {...
The state variable description of an LTI system is given by <img class="question...
The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is grea...
Consider the given circuit. In this circuit, the race around<br/><br/> <img src=...
The state transition diagram for the logic circuit shown is <img class="question...
An infinitely long uniform solid wire of radius a carries a uniform dc current o...
An infinitely long uniform solid wire of radius a carries a uniform dc current o...
A coaxial cable with an inner diameter of 1 mm and outer diameter of 2.4 mm is f...
The electric field of a uniform plane electromagnetic wave in free spce, along t...
A plane wave propagating in air with $$\vec E = \left( {8{{\widehat a}_x} + 6{{\...
A transmission line with a characteristic impedance of 100 $$\Omega $$ is used t...
The magnetic field along the propagation direction inside a rectangular waveguid...
The radiation pattern of an antenna in spherical co-ordinates is given by $$$F\,...
In the circuit shown <img alt="gate 2012 electronic-devices-and-vlsi ic-basics-a...
In the three dimensional view of a silicon n-channel <b>MOS</b> transistor shown...
The source of a silicon (n<sub>i</sub> = 10<sup>10</sup> per cm<sup>3</sup>) n -...
In the three dimensional view of a silicon n-channel <b>MOS</b> transistor shown...
In the <b>CMOS</b> circuit shown, electron and hole mobilities are equal, and M<...
Given that $$A = \left[ {\matrix{ { - 5} &amp; { - 3} \cr 2 &amp; 0 \cr...
The direction of vector $$A$$ is radially outward <br>from the origin, with $$\...
Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in th...
A fair coin is tossed till a head appears for the first time. The probability t...
With initial condition $$x\left( 1 \right)\,\,\, = \,\,\,\,0.5,\,\,\,$$ the solu...
If $$x\left[ N \right] = {\left( {1/3} \right)^{\left| n \right|}} - {\left( {1/...
The unilateral Laplace transform of $$f(t)$$ is <br>$$\,{1 \over {{s^2} + s + 1...
Consider the differential equation <br>$${{{d^2}y\left( t \right)} \over {d{t^2...
If $$x = \sqrt { - 1} ,\,\,$$ then the value of $${X^x}$$ is
Given $$f\left( z \right) = {1 \over {z + 1}} - {2 \over {z + 3}}.$$ If $$C$$ is...
<p>In the circuit shown below, current through the inductor is</p> <img alt="GAT...
<p>The independence looking into nodes 1 and 2 in the given circuit is</p> <img ...
<p>If V<sub>A</sub> - V<sub>B</sub> = 6 V then V<sub>C</sub> - V<sub>D</sub> is...
Assuming both the voltage sources are in phase the value of R for which maximum ...
With 10 V dc connected at port A in the linear nonreciprocal two-port network sh...
With 10 V dc connected at port A in the linear nonreciprocal two-port network sh...
In the following figure, C<sub>1</sub> and C<sub>2</sub> are ideal capacitors. C...
If $$x\left[ n \right]$$= $${(1/3)^{\left| n \right|}} - {(1/2)^n}u\left[ n \rig...
The input x(t) and output y(t) of a system are related as y(t) = $$\int\limits_{...
The Fourier transform of a signal h(t) is $$H(j\omega )$$ =(2 cos $$\omega $$) (...
Let $$y\left[ n \right]$$ denote the convolution of $$h\left[ n \right]$$ and $$...

General Aptitude

If (1.001)<sup>1259</sup> = 3.52 and (1.001)<sup>2062</sup> = 7.85, then (1.001)...
Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs....
The data given in the following table summarizes the monthly budget of an averag...
A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. T...
There are eight bags of rice looking alike, seven of which have equal weight and...
<p><b>One of the legacies of the Roman legions was discipline. In the legions, m...
Choose the most appropriate alternative from the options given below to complete...
Choose the most appropriate word from the options given below to complete the fo...
Which one of the following options is the closest in meaning to the word given b...
One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Whi...

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