GATE ECE 2014 Set 4

## GATE ECE

For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then

View Question If the emitter resistance in a common-emitter voltage amplifier is not bypassed, it will

View Question Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor
operates in forward ac

View Question A BJT in common-base configuration is used to amplify a signal received by a $$50\,\Omega $$ antena. Assume kT/q = 25 m

View Question For the common collector amplifier shown in the figure, the BJT has high $${V_{CE\left( {sat} \right)}},$$ and $${V_{BE

View Question The circuit shown represents

View Question An M - level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth

View Question Consider the Z- channel given in the figure. The input is 0 or 1 with equal probability.
If the output is 0, the probab

View Question If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival

View Question Consider a communication scheme where the binary valued signal X satisfies P{X = + 1} = 0.75 and P {X = - 1} = 0.25. The

View Question Consider a discrete-time channel Y = X + Z, where the additive noise Z is signal- dependent. In particular, given the tr

View Question For the second order closed-loop system shown in the figure, the natural frequency (in rad/s)
is

View Question Consider a transfer function $$G_p\left(s\right)\;=\;\frac{ps^2+3ps\;-2}{s^2+\left(3+p\right)s\;+\left(2-p\right)}$$ wit

View Question The characteristic equation of a unity negative feedback system 1 + KG(s) = 0. The open loop
transfer function G(s) has

View Question In a Bode magnitude plot, which one of the following slopes would be exhibited at high
frequencies by a 4th order all-po

View Question The state transition matrix $$\phi \left( t \right)$$ of a system $$$\left[ {\matrix{
{\mathop {{x_1}}\limits^ \bull

View Question In the circuit shown in the figure, if C = 0, the expression for Y is

View Question A 16-bit ripple carry adder is realized using 16 identical full adders (FA) as shown in the figure.
The carry-propagatio

View Question An 8-to-1 multiplexer is used to implement a logical function Y as shown in the figure. The output Y is given by

View Question The output (Y) of the circuit shown in the figure is

View Question If $$\overrightarrow{\mathrm E}=-\left(2\mathrm y^2\;-3\mathrm{yz}^2\right)\widehat{\mathrm x}\;-\left(6\mathrm{xy}^2-3\

View Question The electric field (assumed to be one-dimensional) between two points A and B is shown. Let
$$\psi_A$$ and $$\psi_B$$ be

View Question For an antenna radiating in free space, the electric field at a distance of 1 km is found to be 12 m V/m. Given that int

View Question Match column A with column B.
Column
1. Point electromagnetic source
2. Dish antenna
3. Yagi-Uda antenna
Colum

View Question In the figure ln(ρi) is plotted as a function of 1/T, where ρi
the intrinsic resistivity of silicon,
T is is the tempera

View Question The cut-off wavelength (in µm) of light that can be used for intrinsic excitation of a
semiconductor material of bandgap

View Question Consider a silicon sample doped with ND = 1×1015/cm3 donor atoms. Assume that the
intrinsic carrier concentration ni = 1

View Question An N-type semiconductor having uniform doping is biased as shown in the figure.
If EC is the lowest energy level of th

View Question Consider two BJT's biased at the same collector current with area A1 = 0.2 μm × 0.2 μm and
A2 = 300 μm × 300 μm. Assumin

View Question For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have m

View Question The series $$\sum\limits_{n = 0}^\infty {{1 \over {n!}}\,} $$ converges to

View Question The magnitude of the gradient for the function $$f\left( {x,y,z} \right) = {x^2} + 3{y^2} + {z^3}\,\,$$ at the point $$(

View Question The directional derivative of $$f\left( {x,y} \right) = {{xy} \over {\sqrt 2 }}\left( {x + y} \right)$$ at $$(1, 1)$$

View Question Given $$\,\,\overrightarrow F = z\widehat a{}_x + x\widehat a{}_y + y\widehat a{}_z.\,\,$$ If $$S$$ represents the po

View Question Let $$X$$ be a zero mean unit variance Gaussian random variable. $$E\left[ {\left| X \right|} \right]$$ is equal to ____

View Question Parcels from sender $$S$$ to receiver $$R$$ pass sequentially through two post - offices. Each post - office has a proba

View Question If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival

View Question With initial values $$\,\,\,y\left( 0 \right) = y'\left( 0 \right) = 1,\,\,\,$$ the solution of the differential equati

View Question If $$a$$ and $$b$$ are constants, the most general solution of the differential equation $$\,{{{d^2}x} \over {d{t^2}}}

View Question The unilateral Laplace transform of $$f(t)$$ is $${1 \over {{s^2} + s + 1}}$$. Which one of the following is the unilate

View Question An 8085 microprocessor executes “STA 1234H” with starting address location 1FFEH (STA copies the contents of the
Accumu

View Question The circuit shown in the figure represents a

View Question The magnitude of current (in mA) through the resistor R2 in the figure shown is _____.

View Question In the circuit shown in the figure, the value of V0(t) (in Volts) for $$t\rightarrow\infty$$ is ______.

View Question For the two-port network shown in the figure, the impedance (Z) matrix (in Ω) is

View Question The steady state output of the circuit shown in the figure is given by
$$$y\left( t \right) = {\rm A}\left( \omega \ri

View Question The equivalent resistance in the infinite ladder network shown in the figure, is$${R_e}$$
The value of $${R_e}/R$$ is

View Question A Fourier transform pair is given by $${\left( {{2 \over 3}} \right)^n}$$ u $$\left[ {n + 3} \right]\,\mathop \Leftrigh

View Question The unilateral Laplace transform of F(t) is $${1 \over {{s^2} + s + 1}}$$. Which one of the following is the unilateral

View Question A stable linear time invariant (LTI) system has a transfer function H(s) = $${1 \over {{s^2} + s - 6}}$$. To make this s

View Question A casual LTI system has zero initial conditions and impulse response h(t). Its input x(t) and output y(t) are related th

View Question The N-point DFT X of a sequence x[n] 0 ≤ n ≤ N − 1 is given by
$$X\left[ k \right] = {1 \over {\sqrt N }}\,\,\sum\lim

View Question The sequence x $$\left[ n \right]$$ = $${0.5^n}$$ u[n], where u$$\left[ n \right]$$ is the unit step sequence, is conv

View Question A real - values signal x(t) limited to the frequency band $$\left| f \right| \le {W \over 2}$$ is passed through a linea

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