GATE ECE 2016 Set 3

## GATE ECE

The diodes D1 and D2 in the figure are ideal and the capacitors are identical. The product RC is very
large compared to

View Question Consider the circuit shown in the figure. Assuming VBE1 = VEB2 = 0.7 volt, value of the dc voltage Vc2 (in volt) is _

View Question In the astable multivibrator circuit shown in the figure, the frequency of oscillation (in kHz) at the output pin 3 is

View Question For the circuit shown in the figure, R1 = R2 = R3 = 1 Ω, L = 1 µH and C = 1 µF. If the input Vin = cos(106t) , then the

View Question For a superheterodyne receiver, the intermediate frequency is 15 MHz and the local oscillator frequency
is 3.5 GHz. If t

View Question A wide sense stationary random process $$X(t)$$ passes through the $$LTI$$ system shown in the figure. If the autocorrel

View Question The bit error probability of a memoryless binary symmetric channel is $${10^{ - 5}}$$. If $${10^{ - 5}}$$ bits are sent

View Question An analog baseband signal, band limited to 100 Hz, is sampled at the Nyquist rate. The samples are quantized into four m

View Question A binary baseband digital communication system employs the signal
$$$p\left( t \right) = \left\{ {\matrix{
{{1 \ove

View Question A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of 4.0 kHz and two-sided noise powe

View Question For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is
given as $$G\left(s\r

View Question The forward-path transfer function and the feedback-path transfer function of a single loop negative
feedback control sy

View Question The block diagram of a feedback control system is shown in the figure. The overall closed-loop gain G of the system is

View Question The first two rows in the Routh table for the characteristic equation of a certain closed-loop control
system are given

View Question A second-order linear time-invariant system is described by the following state equations
$$$\eqalign{& {d \over {dt

View Question Following is the k-map of a Boolean function of five variable P, Q, R, S and X. The minimum for the function is

View Question For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are 2 ns, 1.5 ns and 1 ns, resp

View Question The minimum number of 2-input NAND gates required to implement a 2-input XOR gate is

View Question If a right-handed circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave w

View Question Faraday's law of electromagnetic induction is mathematically described by which one of the following equations?

View Question Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. The increasing order of the

View Question Consider an air-filled rectangular waveguide with dimensions a = 2.286cm and b = 1.016cm. At 10GHz operating frequency,

View Question A radar operating at 5 GHz uses a common antenna for transmission and reception. The antenna has a gain of 150 and is al

View Question Consider the charge profile shown in the figure. The resultant potential distribution is best
described by

View Question The figure shows the I-V characteristics of a solar cell illuminated uniformly with solar light of
power 100 mW/cm2. The

View Question The injected excess electron concentration profile in the base region of an npn BJT, biased in the
active region, is lin

View Question The figure shows the band diagram of a Metal Oxide Semiconductor (MOS). The surface region of
this MOS is in

View Question Figures $${\rm I}$$ and $${\rm I}{\rm I}$$ show two MOS capacitor of unit area. The capacitor in Figure I has insulator

View Question In the circuit shown in the figure, the channel length modulation of all transistors is non-zero $$\left( {\lambda \ne

View Question In the circuit shown in the figure, transistor M1 is in saturation and has transconductance
gm = 0.01 siemens. Ignoring

View Question Consider a $$2 \times 2$$ square matrix $$A = \left[ {\matrix{
\sigma & x \cr
\omega & \sigma \cr

View Question If the vectors $${e_1} = \left( {1,0,2} \right),\,{e_2} = \left( {0,1,0} \right)$$ and $${e_3} = \left( { - 2,0,1} \righ

View Question The integral $$\int\limits_0^1 {{{dx} \over {\sqrt {\left( {1 - x} \right)} }}} $$ is equal ________.

View Question A triangle in the $$xy-$$plane is bounded by the straight lines $$2x=3y, y=0$$ and $$x=3.$$ The volume above the triangl

View Question The probability of getting a ''head'' in a single toss of a biased coin is $$0.3.$$ The coin is tossed repeatedly till a

View Question The particular solution of the initial value problem given below is $$\,\,{{{d^2}y} \over {d{x^2}}} + 12{{dy} \over {dx}

View Question Consider the first order initial value problem $$\,y' = y + 2x - {x^2},\,\,y\left( 0 \right) = 1,\,\left( {0 \le x <

View Question The value of the integral $${1 \over {2\pi j}}\oint\limits_C {{{{e^z}} \over {z - 2}}dz} $$ along a closed contour $$c$$

View Question For $$f\left( z \right) = {{\sin \left( z \right)} \over {{z^2}}},$$ the residue of the pole at $$z=0$$ ________.

View Question In an 8085 microprocessor, the contents of the accumulator and the carry flag are A7 (in hex) and 0, respectively. If th

View Question In the figure shown, the current i (in ampere) is ______.

View Question The z-parameter matrix $$\begin{bmatrix}z_{11}&z_{12}\\z_{21}&z_{22}\end{bmatrix}$$ for the two-port network sho

View Question Assume that the circuit in the figure has reached the steady state before time t = 0 when the
3 Ω
resistor suddenly burn

View Question In the $$RLC$$ circuit shown in the figure, the input voltage is given by vi(t) = 2 cos(200t)+4 sin(500t). The out

View Question The z-parameter matrix for the two-port network shown is $$$\left[ {\matrix{
{2\,j\,\omega } & {j\,\omega } \cr

View Question If the signal x(t) = $${{\sin (t)} \over {\pi t}}*{{\sin (t)} \over {\pi t}}$$ with * denoting the convolution operation

View Question A continuous-time speech signal $${x_a}(t)$$ is sampled at a rate of 8 kHz and the samples are subsequently grouped in

View Question A discrete-time signal$$x\left[ n \right]\, = \delta \left[ {n - 3} \right]\, + 2\delta \left[ {n - 5} \right]$$ has z-t

View Question The ROC (region of convergence) of the z-transform of a discrete-time signal is represented by the shaded
region in the

View Question Consider the signal $$\,x\left( t \right)$$ $$\,\,\, = \,\,\,\cos \left( {6\pi t} \right)\,\, + \,\,\sin \left( {8\pi t}

View Question The direct form structure of an FIR (finite impulse response) filter is shown in the figure.
The filter can be used

View Question ## General Aptitude

The number that least fits this set: (324, 441, 97 and 64) is ________.

View Question It takes 10 s and 15 s, respectively, for two trains traveling at different constant speeds to completely pass
a telegra

View Question