GATE ECE 2016 Set 2

## GATE ECE

Assume that the diode in the figure has on Von = 0.7V, but is otherwise ideal.
The magnitude of the current i2 (in mA)

View Question The figure shows a half-wave rectifier with a
475 µF
filter capacitor. The load draws a constant
current I0= 1 A from th

View Question Resistor R1 in the circuit below has been adjusted so that I1 = 1 mA. The bipolar transistor Q1 and Q2 are perfectly mat

View Question Which one of the following statements is correct about an ac-coupled common- emitter amplifier operating in the mid-band

View Question In the opamp circuit shown, the Zener diodes Z1 and Z2 clamp the output voltage Vo to +5 V or -5 V. The switch S is in

View Question An opamp has a finite open loop voltage gain of 100. Its input offset voltage Vios (= +5mV) is
modeled as shown in the

View Question A speech signal is sampled at 8 kHz and encoded into PCM format using 8 bits/sample. The PCM data is transmitted through

View Question An information source generates a binary sequence $$\left\{ {{\alpha _n}} \right\}.{\alpha _n}$$ can take one of the two

View Question Consider random process $$X(t) = 3V(t) - 8$$, where $$V$$ $$(t)$$ is a zero mean stationary random process with autocorr

View Question An ideal band-pass channel 500Hz-2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate

View Question A discrete memoryless source has an alphabet $$({a_1},\,{a_2},\,{a_3},\,{a_4})\,$$ with corresponding probabilities$$\le

View Question A binary communication system makes use of the symbols “zero” and “one”. There are channel errors. Consider the followin

View Question The response of the system
$$G\left(s\right)\;=\;\frac{s\;-\;2}{\left(s\;+\;1\right)\left(s\;+\;3\right)}$$
to the unit

View Question In the feedback system shown below
$$$G\left(S\right)\;=\frac1{(s^2\;+\;2s)}$$$
The step response of the closed-loop sy

View Question The number and direction of encirclements around the point −1 + j0 in the complex plane by the
Nyquist plot of G(s) =$${

View Question In the feedback system shown below
$${\rm{G(s) = }}{1 \over {\left( {s + 1} \right)\left( {s + 2} \right)\left( {s + 3

View Question The asymptotic Bode phase plot of
$${\rm{G(s) = }}{k \over {\left( {s + 0.1} \right)\left( {s + 10} \right)\left( {s +

View Question A 4:1 multiplexer is to be used for generating the output carry of a full adder. A and B are the bits to be added while

View Question Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor 𝑅 = 10 𝑘Ω and the supply

View Question The state transition diagram for a finite state machine with states A, B and C, and binary inputs X, Y and Z, is shown i

View Question For the circuit shown in the figure, the delay of the bubbled NAND gate is 2ns and that of the counter is assumed to be

View Question In an N bit flash ADC, the analog voltage is fed simultaneously to 2N− 1 comparators. The
output of the comparators is t

View Question A uniform and constant magnetic field
$$B=\widehat zB$$
exists in the
$$\widehat z$$
direction in vacuum. A particle of

View Question The parallel-plate capacitor shown in the figure has movable plates. The capacitor is charged
so that the energy stored

View Question Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as $$E =

View Question A microwave circuit consisting of lossless transmission lines $$T_1$$ and $$T_2$$ is shown in the figure. The plot shows

View Question A lossless microstrip transmission line consists of a trace of width w. It is drawn over a practically infinite ground p

View Question Consider the time-varying vector $$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\hat y\,5\,sin(\omega \,t)$$ in Cartesian

View Question Light from free space is incident at an angle $${\theta _1}$$ to the normal of the facet of a step-index large core opti

View Question Consider a region of silicon devoid of electrons and holes, with an ionized donor density of
$${\mathrm N}_\mathrm d^+=1

View Question The Ebers-Moll model of a BJT is valid

View Question A long-channel NMOS transistor is biased in the linear region with VDS = 50 mV and is used
as a resistance. Which one o

View Question Transistor geometries in a CMOS inverter have been adjusted to meet the requirement for
worst case charge and discharge

View Question A voltage VG is applied across a MOS capacitor with metal gate and p-type silicon substrate at
T=300 K. The inversion ca

View Question Consider a long-channel NMOS transistor with source and body connected together. Assume that
the electron mobility is in

View Question The value of $$x$$ for which the matrix $$A = \left[ {\matrix{
3 & 2 & 4 \cr
9 & 7 & {13} \cr

View Question The matrix $$A = \left[ {\matrix{
a & 0 & 3 & 7 \cr
2 & 5 & 1 & 3 \cr
0 & 0 &am

View Question As $$x$$ varies from $$- 1$$ to $$3,$$ which of the following describes the behavior of the function $$f\left( x \righ

View Question How many distinct values of $$x$$ satisfy the equation $$sin(x)=x/2,$$ where $$x$$ is in radians ?

View Question Suppose $$C$$ is the closed curve defined as the circle $$\,\,{x^2} + {y^2} = 1\,\,$$ with $$C$$ oriented anti-clockwis

View Question The ordinary differential equation $$\,\,{{dx} \over {dt}} = - 3x + 2,\,\,$$ with $$x(0)=1$$ is to be solved using the

View Question Consider the complex valued function $$f\left( z \right) = 2{z^3} + b{\left| z \right|^3}$$ where $$z$$ is a complex va

View Question An 8 Kbyte ROM with an active low Chip Select input CS is to be used in an 8085
microprocessor based system. The ROM sho

View Question In the given circuit, each resistor has a value equal to 1 Ω.
What is the equivalent resistance across the terminals a

View Question In the circuit shown in the figure, the magnitude of the current (in amperes) through R2 is___________.

View Question In the circuit shown below, Vs is a constant voltage source and IL is a constant current load
The value of IL that maxi

View Question The switch has been in position 1for a long time and abruptly changes to position 2 at t = 0.
If time t is in seconds,

View Question The switch S in the circuit shown has been closed for a long time. It is opened at time t = 0 and
remains open after tha

View Question The figure shows an $$RLC$$ circuit with a sinusoidal current source.
At response, the ratio $$\left| {{{\rm I}_L}} \

View Question The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is ___________.

View Question The Discrete Fourier Transform (DFT) of the 4-point sequence
$$x\left[ n \right]$$= {x[0], x[1], x[2], x[3]}
= {3, 2,

View Question A continuous-time filter with transfer function $$\,H(S) = {{2s + 6} \over {{s^2} + 6s + 8}}$$ is converted to a discret

View Question ## General Aptitude

Given (9 inches)1/2 = (0.25 yards)1/2, which one of the following statements is TRUE?

View Question S, M, E and F are working in shifts in a team to finish a project. M works with twice the
efficiency of others but for h

View Question