GATE ECE 2010

## GATE ECE

In the silicon BJT circuit shown below, assume that the emitter area of transistor
Q1 is half that of transistor Q2.The

View Question The amplifier circuit shown below uses a silicon transistor. The capacitors CC and
CE can be assumed to be short at sign

View Question Consider the common emitter amplifier shown below with the following circuit parameters:
$$\beta = 100,\,{g_m} = 0.3861

View Question Consider the common emitter amplifier shown below with the following circuit parameters:
$$\beta = 100,\,{g_m} = 0.3861

View Question The transfer characteristic for the precision rectifier circuit shown below is (assume ideal OP-AMP and practical diode

View Question Assuming the OP-AMP to be ideal, the voltage gain of the amplifier shown below is

View Question Consider an angle modulated signal x(t) = 6cos[2$$\mathrm\pi$$x106
t+2sin(8000$$\mathrm\pi$$t) +
4cos(8000$$\mathrm\pi$$

View Question X(t) is a stationary process with the power spectral density Sx(f) > 0 for all f. The process is passed through a s

View Question Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is

View Question Consider a base band binary PAM receiver shown below. The additive channel noise
$$n(t)$$ is white with power spectral d

View Question Consider a base band binary PAM receiver shown below. The additive channel noise
$$n(t)$$ is white with power spectral d

View Question The transfer function Y(s)/R(s) of the system shown is

View Question For the asymptotic Bode magnitude plot shown below, the system transfer function
can be

View Question A system with the transfer function
$${{Y(s)} \over {X(s)}} = {s \over {s + p}},$$ has an output
y(t)=$$\cos \left( {2t

View Question A unity negative feedback closed loop system has a plant with the transfer function $$G(s) = {1 \over {{s^2} + 2s + 2}}$

View Question The signal flow graph of a system is shown below.
The state variable representation of the system can be

View Question The signal flow graph of a system is shown below.
The transfer function of the system is

View Question Match the logic gates in column A with their equivalents in column B.

View Question For the output F to be 1 in the logic circuit shown, the input combination should be

View Question The Boolean function realized by the logic circuit shown is

View Question Assuming that all flip-flops are in reset condition initially, the count sequence
observed at QA in the circuit shown is

View Question If $$\overrightarrow{\mathrm A}\;=\;\mathrm{xy}\;{\widehat{\mathrm a}}_\mathrm x\;+\;\mathrm x^2\;{\widehat{\mathrm a}}_

View Question A transmission line has a characteristic impedance of 50 $$\Omega $$ and a resistance of 0.1 $$\Omega $$/m. If the line

View Question If the scattering matrix [S] of a two port network is $$$\left[ S \right] = \left[ {\matrix{
{0.2\,\angle \,\,{0^ \ci

View Question In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ration (VSWR) on the 60

View Question A plane wave having the electric field component
$$${\overrightarrow E _i} = 24\,\,\cos \,\,\left( {3 \times {{10}^8}\,

View Question The silicon sample with unit cross-sectional area shown below is in thermal
equilibrium. The following information is gi

View Question The silicon sample with unit cross-sectional area shown below is in thermal
equilibrium. The following information is gi

View Question In a uniformly doped BJT, assume that NE, NB and NC are the emitter, base and
collector dopings in atoms/cm3, respective

View Question The eigen values of a skew-symmetric matrix are

View Question If $$\,{e^y} = {x^{1/x}}\,\,$$ then $$y$$ has a

View Question If $$\overrightarrow A = xy\,\widehat a{}_x + {x^2}\widehat a{}_y\,\,$$ then $$\,\,\oint {\overrightarrow A .d\overrigh

View Question A fair coin is tossed independently four times. The probability of the event ''The number of times heads show up is more

View Question A function $$n(x)$$ satisfies the differential equation $${{{d^2}n\left( x \right)} \over {d{x^2}}} - {{n\left( x \right

View Question Consider a differential equation $${{dy\left( x \right)} \over {dx}} - y\left( x \right) = x\,\,$$ with initial conditio

View Question The residues of a complex function $$X\left( z \right) = {{1 - 2z} \over {z\left( {z - 1} \right)\left( {z - 2} \right)}

View Question In the circuit shown, the device connected to Y5 can have address in the range

View Question In the circuit shown, the device connected to Y5 can have address in the range

View Question For the 8085 assembly language program given below, the content of the accumulator after the executions of the program i

View Question In the circuit shown, the power supplied by the voltage source is

View Question For parallel RLC circuit, which one of the following statements is NOT correct?

View Question The current I in the circuit shown is

View Question For the two-port network shown below, the short-circuit admittance parameter
matrix is

View Question In the circuit shown, the switch S is open for a long time and is closed at t=0. The
current i(t) for t ≥ 0+ is

View Question The trigonometric Fourier series for the waveform f(t) shown below contains

View Question Given f(t) = $${L^{ - 1}}\left[ {{{3s + 1} \over {{s^3} + 4{s^2} + \left( {K - 3} \right)s}}} \right].$$
If $$\matrix{

View Question For an N-point FFT algorithm with N = $${2^m}$$ which one of the following statements is TRUE?

View Question Consider the z-transform
X(z)=5$${z^2} + 4{z^{ - 1}} + 3;0 < \left| z \right| < \infty $$.
The inverse z - trans

View Question A continuous time LTI system is described by $${{{d^2}y(t)} \over {d{t^2}}} + 4{{dy(t)} \over {dt}} + 3y(t)\, = 2{{dx(t)

View Question Two discrete time systems with impulse responses $${h_1}\left[ n \right]\, = \delta \left[ {n - 1} \right]$$ and $${h_2}

View Question The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \ove

View Question Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is

View Question A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}}\,\,$$ has an output
$$y(t) = \cos \lef

View Question The Nyquist sampling rate for the signal $$s(t) = {{\sin \,(500\pi t)} \over {\pi \,t}} \times {{\sin \,(700\pi t)} \ove

View Question Consider an angle modutated signal $$x(t) = 6\,\,\cos \,[2\,\pi \, \times {10^6}t + 2\sin (8000\pi t)\,4\cos (8000\pi t

View Question ## General Aptitude

Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All
were born on 1st January. The

View Question If 137+276=435 how much is 731+672?

View Question 5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall
in 25 days; 10 unskilled workers

View Question Modern warfare has changed from large scale clashes of armies to suppression of
civilian populations. Chemical agents th

View Question Given digits 2,2,3,3,3,4,4,4,4 how many distinct 4 digit numbers greater than
3000 can be formed?

View Question 25 persons are in a room. 15 of them play hockey, 17 of them play football and 10
of them play both hockey and football.

View Question Which of the following options is the closest in meaning to the world below:
Circuitous

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

View Question Choose the most appropriate word from the options given below to complete the
following sentence:
If we manage to ______

View Question Choose the most appropriate word from the options given below to complete the
following sentence:
His rather casual rema

View Question