GATE ECE 2011
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## GATE ECE

In the circuit shown below, assume that the voltage drop across a forward biased diode is 0.7V. The thermal voltage Vt =
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In the circuit shown below, assume that the voltage drop across a forward biased diode is 0.7V. The thermal voltage Vt =
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In the circuit shown below, capacitors C1 and C2 are very large and are shorts at the input frequency. Vi is a small si
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For a BJT, the common-base current gain $$\alpha = \,\,0.98$$ and the colector base junction reverse bias saturation cu
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For the BJT Q1 in the circuit shown below, $$\beta = \infty ,\,\,\,\,{V_{BEon\,}}\, = \,0.7V,\,\,\,{V_{CEsat}}\, = \,0. View Question The circuit below implements a filter between the input current ii and the output voltage v0. Assume that the op-amp- is View Question X(t) is a stationary random process with autocorrelation function Rx$$\left( \tau \right)$$= exp$$\left( { - \pi {\tau
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An analog signal is band-limited to 4kHz. sampled at the Nyquist rate and the samples are quantized into 4 levels. The q
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A four phase and an eight-phase signal constellation are shown in the figure below. For the constraint that the mini
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A four phase and an eight-phase signal constellation are shown in the figure below. Assuming high SNR and that all
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The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by
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The differential equation $$100\frac{\mathrm d^2\mathrm y}{\mathrm{dt}^2}-20\frac{\mathrm{dy}}{\mathrm{dt}}+\mathrm y=\ View Question For the transfer function G$$\left( {j\omega } \right) = 5 + j\omega ,$$the corresponding Nyquist plot for positive fr View Question The input-output transfer function of a plant is h(s)=$${{100} \over {s{{\left( {s + 10} \right)}^2}}}$$. The plant is p View Question The input-output transfer function of a plant is h(s)=$${{100} \over {s{{\left( {s + 10} \right)}^2}}}$$. The plant is p View Question The block diagram of a system with one input u and two outputs y1 and y2 is given below A state space model of the abo View Question The output Y in the circuit below is always ‘1’ when View Question The logic function implemented by the circuit below is (ground implies a logic "0" View Question When the output Y in the circuit below is ‘1’, it implies that data has View Question The output of a 3-stage Johnson (twisted-ring) counter is fed to a digital-to-analog (D/A) converter as shown in the fig View Question Two D flip-flops are connected as a synchronous counter that goes through the following QB QA sequence$$00 \to 11 \to 0
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Consider a closed surface S surrounding volume V. If $$\overrightarrow{\mathrm r}$$ is the position vector of a point i
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A transmission line of characteristic impedance 50 $$\Omega$$ is terminated by a 50 $$\Omega$$ load. When excited by a
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A transmission line of characteristic impedance 50 $$\Omega$$ is terminated in a load impedance $$Z_L$$. The VSWR of t
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The electric and magnetic fields for a TEM wave of frequency $$14 GHz$$ in a homogeneous medium of relative permittivity
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The modes in a rectangular waveguide are denoted by $$T{E_{mn}}\,$$/$$T{M_{mn}}\,$$ where m and n are the eigen numbers
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Drift current in the semiconductors depends upon
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For a BJT the common base current gain $$\alpha$$ = 0.98 and the collector base junction reverse bias saturation current
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The channel resistance of an N-channel JFET shown in the figure below is 600 W when the full channel thickness (tch) of
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The channel resistance of an N-channel JFET shown in the figure below is 600 W when the full channel thickness (tch) of
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In the circuit shown below, for the MOS transistors, $$\mu_nC_{ox}\;=\;100\;\mu A/V^2$$ and the threshold voltage VT = 1
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The system of equations $$x+y+z=6,$$ $$x+4y+6z=20,$$ $$x + 4y + \lambda z = \mu$$ has no solution for values of $$\lamb View Question Consider a closed surface$$'S'$$surrounding a volume$$V.$$If$$\overrightarrow r $$is the position vector of a poin View Question A fair dice is tossed two times. The probability that the$$2$$nd toss results in a value that is higher than the first View Question The solution of differential equation$${{dy} \over {dx}} = ky,y\left( 0 \right) = C$$is View Question A numerical solution of the equation$$f\left( x \right) = x + \sqrt x - 3 = 0$$can be obtained using Newton$$-$$Rap View Question The value of the integral$$\oint\limits_c {{{ - 3z + 4} \over {{z^2} + 4z + 5}}} \,\,dz,$$when$$C$$is the circle$$|
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An 8085 assembly language program is given below. Assume that the carry flag is initially unset. The content of the accu
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In the circuit shown below the value of RL such that the power transferred to RL is maximum
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In the circuit shown below, the Norton equivalent current in amperes with respect to terminals P and Q is
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If the unit step response of a network is $$(1-e^{-\alpha t})$$, then its unit impulse response is
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In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the voltage polarity as indicated. The s
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In the circuit shown below, the network N is described by the following Y matrix: $$Y\;=\;\begin{bmatrix}0.1S&amp;-0.01 View Question In the circuit shown below, the current I is equal to View Question If$$F\left( s \right) = L\left[ {f\left( t \right)} \right] = {{2\left( {s + 1} \right)} \over {{s^2} + 4s + 7}}$$then View Question The first six points of the 8-point DFT of a real valued sequence are 5, 1 - j3, 0, 3- j4, 0 and 3+ j4. The last two p View Question The differential equation$$100{{{d^2}y} \over {dt}} - 20{{dy} \over {dt}} + y = x\left( t \right)$$describes a system View Question An input x(t) = exp( -2t) u(t) +$$\delta $$(t-6) is applied to an LTI system with impulse response h(t) = u(t). The out View Question A system is defined by its impulse response$$h\left( n \right) = {2^n}\,u\left( {n - 2} \right).$$The system is View Question Two system$${H_1}\left( z \right)$$and$${H_2}\left( z \right) are connected in cascade as shown below. The overall
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## General Aptitude

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest
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Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took
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Given that f(y) = |y| / y, and q is any non-zero real number, the value of | f(q) - f(-q) | is
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The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins o
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The sum of n terms of the series 4 + 44 + 444 +.... is
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The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.
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Choose the word from the options given below that is most nearly opposite in meaning to the given word: Frequency
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Choose the most appropriate word from the options given below to complete the following sentence: It was her view that t
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The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expres
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Choose the most appropriate word from the options given below to complete the following sentence: Under ethical guidelin
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