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## GATE ECE 2016 Set 3

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE ECE

The diodes D1 and D2 in the figure are ideal and the capacitors are identical. T...
Consider the circuit shown in the figure. Assuming V<sub>BE1</sub> = V<sub>EB2...
In the astable multivibrator circuit shown in the figure, the frequency of oscil...
For the circuit shown in the figure, R<sub>1</sub> = R<sub>2</sub> = R<sub>3</su...
For a superheterodyne receiver, the intermediate frequency is 15 MHz and the loc...
A wide sense stationary random process $$X(t)$$ passes through the $$LTI$$ syste...
The bit error probability of a memoryless binary symmetric channel is $${10^{ - ... An analog baseband signal, band limited to 100 Hz, is sampled at the Nyquist rat... A binary baseband digital communication system employs the signal$$$p\left( t... A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandw... For the unity feedback control system shown in the figure, the open-loop transfe... The forward-path transfer function and the feedback-path transfer function of a ... The block diagram of a feedback control system is shown in the figure. The overa... The first two rows in the Routh table for the characteristic equation of a certa... A second-order linear time-invariant system is described by the following state ... Following is the k-map of a Boolean function of five variable P, Q, R, S and X.... The minimum number of 2-input NAND gates required to implement a 2-input XOR ga... For the circuit shown in the figure, the delays of NOR gates, multiplexers and i... If a right-handed circularly polarized wave is incident normally on a plane perf... Faraday's law of electromagnetic induction is mathematically described by which ... Consider an air-filled rectangular waveguide with dimensions a = 2.286cm and b =... Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b ... A radar operating at 5 GHz uses a common antenna for transmission and reception.... Consider the charge profile shown in the figure. The resultant potential distrib... The figure shows the I-V characteristics of a solar cell illuminated uniformly w... The injected excess electron concentration profile in the base region of an npn ... The figure shows the band diagram of a Metal Oxide Semiconductor (MOS). The surf... Figures $${\rm I}$$ and $${\rm I}{\rm I}$$ show two MOS capacitor of unit area. ... In the circuit shown in the figure, transistor M1 is in saturation and has trans... In the circuit shown in the figure, the channel length modulation of all transis... If the vectors $${e_1} = \left( {1,0,2} \right),\,{e_2} = \left( {0,1,0} \right)... Consider a$$2 \times 2$$square matrix$$A = \left[ {\matrix{ \sigma &amp; ... A triangle in the $$xy-$$plane is bounded by the straight lines $$2x=3y, y=0$$ a... The integral $$\int\limits_0^1 {{{dx} \over {\sqrt {\left( {1 - x} \right)} }}} ... The probability of getting a ''head'' in a single toss of a biased coin is$$0.3... The particular solution of the initial value problem given below is $$\,\,{{{d^2... Consider the first order initial value problem$$\,y' = y + 2x - {x^2},\,\,y\lef... The value of the integral $${1 \over {2\pi j}}\oint\limits_C {{{{e^z}} \over {z ... For$$f\left( z \right) = {{\sin \left( z \right)} \over {{z^2}}},$$the residue... In an 8085 microprocessor, the contents of the accumulator and the carry flag ar... <p>In the figure shown, the current i (in ampere) is ______.</p> <img alt="GATE ... The z-parameter matrix$$\begin{bmatrix}z_{11}&amp;z_{12}\\z_{21}&amp;z_{22}\end... Assume that the circuit in the figure has reached the steady state before time t... In the $$RLC$$ circuit shown in the figure, the input voltage is given by v<sub>... The z-parameter matrix for the two-port network shown is $$\left[ {\matrix{ ... If the signal x(t) =$${{\sin (t)} \over {\pi t}}*{{\sin (t)} \over {\pi t}}$$w... A continuous-time speech signal$${x_a}(t)$$is sampled at a rate of 8 kHz and ... A discrete-time signal$$x\left[ n \right]\, = \delta \left[ {n - 3} \right]\, + ... The ROC (region of convergence) of the z-transform of a discrete-time signal is ... Consider the signal $$\,x\left( t \right)$$$\$\,\,\, = \,\,\,\cos \left( {6\pi t...
The direct form structure of an FIR (finite impulse response) filter is shown i...

## General Aptitude

The number that least fits this set: (324, 441, 97 and 64) is ________.
It takes 10 s and 15 s, respectively, for two trains traveling at different cons...

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