GATE ECE 2015 Set 2
View Questions

GATE ECE

If the circuit shown has to function as a clamping circuit, which one of the following conditions should be satisfied fo
View Question
The diode in the circuit given below has VON = 0.7V but is ideal otherwise. The current (in mA) in the 4kΩ resistor is _
View Question
In the ac equivalent circuit shown, the two BJTs are biased in active region and have identical parameters with β >&
View Question
In the circuit shown, VO = VOA for switch SW in position A and V0= VOB for SW in position B. Assume that the opamp is id
View Question
In the bistable circuit shown, the ideal opamp has saturation levels of $$ \pm 5V.$$ The value of R1 (in k$$\Omega $$ )
View Question
For the voltage regulator circuit shown, the input voltage (Vin) is 20V $$ \pm $$ 20% and the regulated output voltage
View Question
Assuming that the op-amp in the circuit shown below is ideal, the output voltage V0 (in volts)
View Question
A zero mean white Gaussian noise having power spectral density $${{{N_0}} \over 2}$$ is passed through an $$ LTI $$ filt
View Question
$$\mathop {\left\{ {{X_n}} \right\}}\nolimits_{n = - \infty }^{n = \infty } $$ is an independent and identically distri
View Question
Let $$X \in \left\{ {0,1} \right\}$$ and $$Y \in \left\{ {0,1} \right\}$$ be two independent binary random variables. If
View Question
A sinusoidal signal of amplitude A is quantized by a uniform quantizer. Assume that the signal utilizes all the represen
View Question
Consider a binary, digital communication system which uses pulses g (t) and − g (t)for transmitting bits over an AWGN ch
View Question
By performing cascading and/or summing/differencing operations using transfer function blocks G1(s) and G2(s), one CANNO
View Question
For the signal flow graph shown in the figure, the value of $$\frac{\mathrm C\left(\mathrm s\right)}{\mathrm R\left(\mat
View Question
A unity negative feedback system has an open–loop transfer function $$G\left(s\right)=\frac K{s\left(s+1\right)}$$.The g
View Question
The output of a standard second–order system for a unit step input is given as $$$y\left(t\right)=1-\frac2{\sqrt3}e^{-t}
View Question
The transfer function of a mass-spring damper system is given by $${\rm{G(s) = }}{1 \over {M{s^2} + Bs + K}}$$ The freq
View Question
The state variable representation of a system is given as $$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\ma
View Question
A function of Boolean variables X,Y and Z is expressed in terms of the min-terms as F(X, Y, Z)=$$\sum\limits_{}^{} {} $$
View Question
In the figure shown, the output ܻ is required to be ܻ Y=AB+ $$\overline C $$$$\overline D $$. The gates G1 and G2 must b
View Question
A 1-to-8 demultiplexer with data input D$$_{in}$$ , address inputs S$$_{0}$$, S$$_{1}$$, S$$_{2}$$ (with S$$_{0}$$ as th
View Question
A mod-n counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of
View Question
The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a
View Question
In a source free region in vacuum, if the electrostatic potential $$\varphi\;=\;2x^2\;+y^2+cz^2$$ , the value of constan
View Question
The electric field of a uniform plane electromagnetic wave is $$$\vec E = \left( {{{\overrightarrow a }_x} + j4{{\overr
View Question
The electric field intensity of a plane wave propagating in a lossless non-magnetic medium is given by the following exp
View Question
An air-filled rectangular waveguide of internal dimension $$a\,\,cm\,\, \times \,\,b\,\,cm$$ (a > b) has a cutoff fre
View Question
Two half-wave dipole antennas placed as shown in the figure are excited with sinusoidally varying currents of frequency
View Question
An n–type silicon sample is uniformly illuminated with light which generates 1020 electron hole pairs per cm3 per second
View Question
A piece of silicon is doped uniformly with phosphorous with a doping concentration of $$10^{16}/cm^2$$. The expected val
View Question
A dc voltage of 10V is applied across an n–type silicon bar having a rectangular cross–section and a length of 1cm as sh
View Question
In a MOS capacitor with an oxide layer thickness of 10 nm, the maximum depletion layer thickness is 100 nm. The permitti
View Question
The value of $$'x'$$ for which all the eigenvalues of the matrix given below are real is $$\left[ {\matrix{ {10} &am
View Question
The value of the integral $$\int_{ - \infty }^\infty {12\,\,\cos \left( {2\pi t} \right){{\sin \left( {4\pi t} \right)}
View Question
Let the random variable $$X$$ represent the number of times a fair coin needs to be tossed till two consecutive heads ap
View Question
Let $$\,\,X \in \left\{ {0,1} \right\}\,\,$$ and $$\,\,Y \in \left\{ {0,1} \right\}\,\,$$ be two independent binary rand
View Question
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is
View Question
The general solution of the differential equation $$\,\,{{dy} \over {dx}} = {{1 + \cos 2y} \over {1 - \cos 2x}}\,\,$$ i
View Question
Consider the differential equation $$\,\,{{dx} \over {dt}} = 10 - 0.2\,x$$ with initial condition $$x(0)=1.$$ The respo
View Question
Let $$f\left( z \right) = {{az + b} \over {cz + d}}.$$ If $$f\left( {{z_1}} \right) = f\left( {{z_2}} \right)$$ for all
View Question
If $$C$$ denotes the counter clockwise unit circle. The value of the contour integral $${1 \over {2\pi i}}\oint\limits_c
View Question
The bilateral Laplace transform of a function $$f\left( t \right) = \left\{ {\matrix{ 1 & {if\,\,a \le t \le b}
View Question
In an 8085 microprocessor, which one of the following instructions changes the content of the accumulator?
View Question
In the circuit shown, the Norton equivalent resistance (in Ω) across terminals a–b is ___________.
View Question
In the circuit shown, the initial voltages across the capacitors C1 and C2 are 1 V and 3 V, respectively. The switch is
View Question
The voltage (VC) across the capacitor (in Volts) In the network shown is ________.
View Question
The 2-port admittance matrix of the circuit shown is given by
View Question
The bilateral Laplace transform of a function $$f\left( t \right) = \left\{ {\matrix{ {1\,if\,a \le t \le b} \cr
View Question
Let x(t) = a s(t) +s(-t) with s(t) = $$\beta {e^{ - 4t}}u\left( t \right)$$, where u(t) is unit step function. If the bi
View Question
Two casual discrete-time signals $$x\left[ n \right]$$ and $$y\left[ n \right]$$ =$$\sum\limits_{m = 0}^n x \left[ m \ri
View Question
Input x(t) and output y(t) of an LTI system are related by the differential equation y"(t) - y'(t) - 6y(t) = x(t). If t
View Question
The output of a standrad second-order system for a unit step input is given as $$y(t) = 1 - {2 \over {\sqrt 3 }}{e^{ - t
View Question
The value of the integral $$\int_{ - \infty }^\infty {12\,\cos (2\pi )\,{{\sin (4\pi t)} \over {4\pi t}}\,dt\,} $$ is
View Question
The signal $$\cos \left( {10\pi t + {\pi \over 4}} \right)$$ is ideally sampled at a sampling frequency of 15 Hz. Th
View Question

General Aptitude

Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is
View Question
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12