GATE ECE 2016 Set 2
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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)
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The figure shows a half-wave rectifier with a 475 µF filter capacitor. The load draws a constant current I0= 1 A from th
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Resistor R1 in the circuit below has been adjusted so that I1 = 1 mA. The bipolar transistor Q1 and Q2 are perfectly mat
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Which one of the following statements is correct about an ac-coupled common- emitter amplifier operating in the mid-band
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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
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An opamp has a finite open loop voltage gain of 100. Its input offset voltage Vios (= +5mV) is modeled as shown in the
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A speech signal is sampled at 8 kHz and encoded into PCM format using 8 bits/sample. The PCM data is transmitted through
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An information source generates a binary sequence $$\left\{ {{\alpha _n}} \right\}.{\alpha _n}$$ can take one of the two
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Consider random process $$X(t) = 3V(t) - 8$$, where $$V$$ $$(t)$$ is a zero mean stationary random process with autocorr
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An ideal band-pass channel 500Hz-2000 Hz is deployed for communication. A modem is designed to transmit bits at the rate
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A discrete memoryless source has an alphabet $$({a_1},\,{a_2},\,{a_3},\,{a_4})\,$$ with corresponding probabilities$$\le
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A binary communication system makes use of the symbols “zero” and “one”. There are channel errors. Consider the followin
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The response of the system $$G\left(s\right)\;=\;\frac{s\;-\;2}{\left(s\;+\;1\right)\left(s\;+\;3\right)}$$ to the unit
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In the feedback system shown below $$$G\left(S\right)\;=\frac1{(s^2\;+\;2s)}$$$ The step response of the closed-loop sy
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The number and direction of encirclements around the point −1 + j0 in the complex plane by the Nyquist plot of G(s) =$${
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In the feedback system shown below $${\rm{G(s) = }}{1 \over {\left( {s + 1} \right)\left( {s + 2} \right)\left( {s + 3
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The asymptotic Bode phase plot of $${\rm{G(s) = }}{k \over {\left( {s + 0.1} \right)\left( {s + 10} \right)\left( {s +
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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
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Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor 𝑅 = 10 𝑘Ω and the supply
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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
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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
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In an N bit flash ADC, the analog voltage is fed simultaneously to 2N− 1 comparators. The output of the comparators is t
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A uniform and constant magnetic field $$B=\widehat zB$$ exists in the $$\widehat z$$ direction in vacuum. A particle of
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The parallel-plate capacitor shown in the figure has movable plates. The capacitor is charged so that the energy stored
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Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as $$E =
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A microwave circuit consisting of lossless transmission lines $$T_1$$ and $$T_2$$ is shown in the figure. The plot shows
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A lossless microstrip transmission line consists of a trace of width w. It is drawn over a practically infinite ground p
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Consider the time-varying vector $$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\hat y\,5\,sin(\omega \,t)$$ in Cartesian
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Light from free space is incident at an angle $${\theta _1}$$ to the normal of the facet of a step-index large core opti
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Consider a region of silicon devoid of electrons and holes, with an ionized donor density of $${\mathrm N}_\mathrm d^+=1
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The Ebers-Moll model of a BJT is valid
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A long-channel NMOS transistor is biased in the linear region with VDS = 50 mV and is used as a resistance. Which one o
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Transistor geometries in a CMOS inverter have been adjusted to meet the requirement for worst case charge and discharge
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A voltage VG is applied across a MOS capacitor with metal gate and p-type silicon substrate at T=300 K. The inversion ca
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Consider a long-channel NMOS transistor with source and body connected together. Assume that the electron mobility is in
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The value of $$x$$ for which the matrix $$A = \left[ {\matrix{ 3 & 2 & 4 \cr 9 & 7 & {13} \cr
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The matrix $$A = \left[ {\matrix{ a & 0 & 3 & 7 \cr 2 & 5 & 1 & 3 \cr 0 & 0 &am
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As $$x$$ varies from $$- 1$$ to $$3,$$ which of the following describes the behavior of the function $$f\left( x \righ
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How many distinct values of $$x$$ satisfy the equation $$sin(x)=x/2,$$ where $$x$$ is in radians ?
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Suppose $$C$$ is the closed curve defined as the circle $$\,\,{x^2} + {y^2} = 1\,\,$$ with $$C$$ oriented anti-clockwis
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The ordinary differential equation $$\,\,{{dx} \over {dt}} = - 3x + 2,\,\,$$ with $$x(0)=1$$ is to be solved using the
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Consider the complex valued function $$f\left( z \right) = 2{z^3} + b{\left| z \right|^3}$$ where $$z$$ is a complex va
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An 8 Kbyte ROM with an active low Chip Select input CS is to be used in an 8085 microprocessor based system. The ROM sho
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In the given circuit, each resistor has a value equal to 1 Ω. What is the equivalent resistance across the terminals a
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In the circuit shown in the figure, the magnitude of the current (in amperes) through R2 is___________.
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In the circuit shown below, Vs is a constant voltage source and IL is a constant current load The value of IL that maxi
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The switch has been in position 1for a long time and abruptly changes to position 2 at t = 0. If time t is in seconds,
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The switch S in the circuit shown has been closed for a long time. It is opened at time t = 0 and remains open after tha
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The figure shows an $$RLC$$ circuit with a sinusoidal current source. At response, the ratio $$\left| {{{\rm I}_L}} \
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The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is ___________.
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The Discrete Fourier Transform (DFT) of the 4-point sequence $$x\left[ n \right]$$= {x[0], x[1], x[2], x[3]} = {3, 2,
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A continuous-time filter with transfer function $$\,H(S) = {{2s + 6} \over {{s^2} + 6s + 8}}$$ is converted to a discret
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General Aptitude

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