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 =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

View Question 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

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

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

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

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

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

View Question Drift current in the semiconductors depends upon

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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

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

View Question 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

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

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

View Question ## 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

View Question 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

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

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

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

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

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

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

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

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

View Question