GATE ECE 2011

## GATE ECE

In the circuit shown below, assume that the voltage drop across a forward biased
diode is 0.7V. The thermal voltage Vt =

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In the circuit shown below, assume that the voltage drop across a forward biased
diode is 0.7V. The thermal voltage Vt =

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In the circuit shown below, capacitors C1 and C2 are very large and are shorts at
the input frequency. Vi
is a small si

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For a BJT, the common-base current gain $$\alpha = \,\,0.98$$ and the colector base junction reverse bias saturation cu

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For the BJT Q1 in the circuit shown below, $$\beta = \infty ,\,\,\,\,{V_{BEon\,}}\, = \,0.7V,\,\,\,{V_{CEsat}}\, = \,0.

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The circuit below implements a filter between the input current ii and the output voltage v0. Assume that the op-amp- is

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X(t) is a stationary random process with autocorrelation function Rx$$\left( \tau \right)$$= exp$$\left( { - \pi {\tau

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An analog signal is band-limited to 4kHz. sampled at the Nyquist rate and the samples are quantized into 4 levels. The q

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A four phase and an eight-phase signal constellation are shown in the figure below.
For the constraint that the mini

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A four phase and an eight-phase signal constellation are shown in the figure below.
Assuming high SNR and that all

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The root locus plot for a system is given below. The open loop transfer function
corresponding to this plot is given by

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The differential equation
$$$100\frac{\mathrm d^2\mathrm y}{\mathrm{dt}^2}-20\frac{\mathrm{dy}}{\mathrm{dt}}+\mathrm y=\

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For the transfer function G$$\left( {j\omega } \right) = 5 + j\omega ,$$ the corresponding Nyquist plot for
positive fr

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The input-output transfer function of a plant is h(s)=$${{100} \over {s{{\left( {s + 10} \right)}^2}}}$$. The plant is p

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The input-output transfer function of a plant is h(s)=$${{100} \over {s{{\left( {s + 10} \right)}^2}}}$$. The plant is p

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The block diagram of a system with one input u and two outputs y1 and y2 is given below
A state space model of the abo

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The output Y in the circuit below is always ‘1’ when

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The logic function implemented by the circuit below is (ground implies a logic "0"

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When the output Y in the circuit below is ‘1’, it implies that data has

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The output of a 3-stage Johnson (twisted-ring) counter is fed to a digital-to-analog (D/A) converter as shown in the fig

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Two D flip-flops are connected as a synchronous counter that goes through the following QB QA sequence $$00 \to 11 \to 0

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Consider a closed surface S surrounding volume V. If $$\overrightarrow{\mathrm r}$$
is the position vector of a
point i

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A transmission line of characteristic impedance 50 $$\Omega $$ is terminated by a 50 $$\Omega $$ load. When excited by a

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A transmission line of characteristic impedance 50 $$\Omega $$ is terminated in a load impedance $$Z_L$$. The VSWR of t

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The electric and magnetic fields for a TEM wave of frequency $$14 GHz$$ in a homogeneous medium of relative permittivity

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The modes in a rectangular waveguide are denoted by $$T{E_{mn}}\,$$/$$T{M_{mn}}\,$$ where m and n are the eigen numbers

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Drift current in the semiconductors depends upon

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For a BJT the common base current gain $$\alpha$$ = 0.98 and the collector base junction
reverse bias saturation current

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The channel resistance of an N-channel JFET shown in the figure below is 600 W
when the full channel thickness (tch) of

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The channel resistance of an N-channel JFET shown in the figure below is 600 W
when the full channel thickness (tch) of

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In the circuit shown below, for the MOS transistors, $$\mu_nC_{ox}\;=\;100\;\mu A/V^2$$ and the
threshold voltage VT = 1

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The system of equations $$x+y+z=6,$$ $$x+4y+6z=20,$$ $$x + 4y + \lambda z = \mu $$ has no solution for values of $$\lamb

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Consider a closed surface $$'S'$$ surrounding a volume $$V.$$ If $$\overrightarrow r $$ is the position vector of a poin

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A fair dice is tossed two times. The probability that the $$2$$nd toss results in a value that is higher than the first

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The solution of differential equation $${{dy} \over {dx}} = ky,y\left( 0 \right) = C$$ is

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A numerical solution of the equation $$f\left( x \right) = x + \sqrt x - 3 = 0$$ can be obtained using Newton $$-$$ Rap

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The value of the integral $$\oint\limits_c {{{ - 3z + 4} \over {{z^2} + 4z + 5}}} \,\,dz,$$ when $$C$$ is the circle $$|

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An 8085 assembly language program is given below. Assume that the carry flag is initially unset. The content of the accu

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In the circuit shown below the value of RL such that the power transferred to RL is maximum

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In the circuit shown below, the Norton equivalent current in amperes with respect to terminals
P and Q is

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If the unit step response of a network is $$(1-e^{-\alpha t})$$, then its unit impulse response
is

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In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the
voltage polarity as indicated. The s

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In the circuit shown below, the network N is described by the following Y matrix:
$$$Y\;=\;\begin{bmatrix}0.1S&-0.01

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In the circuit shown below, the current I is equal to

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If $$F\left( s \right) = L\left[ {f\left( t \right)} \right] = {{2\left( {s + 1} \right)} \over {{s^2} + 4s + 7}}$$ then

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The first six points of the 8-point DFT of a real valued sequence are 5, 1 - j3, 0, 3- j4, 0 and 3+ j4. The last two p

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The differential equation $$100{{{d^2}y} \over {dt}} - 20{{dy} \over {dt}} + y = x\left( t \right)$$ describes a system

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An input x(t) = exp( -2t) u(t) + $$\delta $$(t-6) is applied to an LTI system with impulse response h(t) = u(t). The out

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A system is defined by its impulse response $$h\left( n \right) = {2^n}\,u\left( {n - 2} \right).$$ The system is

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Two system $${H_1}\left( z \right)$$ and $${H_2}\left( z \right)$$ are connected in cascade as shown below. The overall

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## General Aptitude

There are two candidates P and Q in an election. During the campaign, 40% of
the voters promised to vote for P, and rest

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Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees,
but returned four to the bowl. S took

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Given that f(y) = |y| / y, and q is any non-zero real number, the value of
| f(q) - f(-q) | is

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The horse has played a little known but very important role in the field of
medicine. Horses were injected with toxins o

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The sum of n terms of the series 4 + 44 + 444 +.... is

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The fuel consumed by a motorcycle during a journey while traveling at various
speeds is indicated in the graph below.

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Choose the word from the options given below that is most nearly opposite in
meaning to the given word:
Frequency

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Choose the most appropriate word from the options given below to complete the
following sentence:
It was her view that t

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The question below consists of a pair of related words followed by four pairs of
words. Select the pair that best expres

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Choose the most appropriate word from the options given below to complete the
following sentence: Under ethical guidelin

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