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## GATE ECE 2010

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

In the silicon BJT circuit shown below, assume that the emitter area of transist...
The amplifier circuit shown below uses a silicon transistor. The capacitors C<su...
Consider the common emitter amplifier shown below with the following circuit par...
Consider the common emitter amplifier shown below with the following circuit par...
The transfer characteristic for the precision rectifier circuit shown below is (...
Assuming the OP-AMP to be ideal, the voltage gain of the amplifier shown below i...
Consider an angle modulated signal x(t) = 6cos[2$$\mathrm\pi$$x10<sup>6</sup> t+...
X(t) is a stationary process with the power spectral density S<sub>x</sub>(f) &...
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter ...
Consider a base band binary PAM receiver shown below. The additive channel noise...
Consider a base band binary PAM receiver shown below. The additive channel noise...
The transfer function Y(s)/R(s) of the system shown is <img alt="GATE 2010 Contr...
A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}}... For the asymptotic Bode magnitude plot shown below, the system transfer function... A unity negative feedback closed loop system has a plant with the transfer funct... The signal flow graph of a system is shown below. <img class="question-image" sr... The signal flow graph of a system is shown below. <img class="question-image" sr... For the output F to be 1 in the logic circuit shown, the input combination shoul... Match the logic gates in column A with their equivalents in column B. <img class... The Boolean function realized by the logic circuit shown is <img class="question... Assuming that all flip-flops are in reset condition initially, the count sequenc... If$$\overrightarrow{\mathrm A}\;=\;\mathrm{xy}\;{\widehat{\mathrm a}}_\mathrm x...
A transmission line has a characteristic impedance of 50 $$\Omega$$ and a resis...
If the scattering matrix [S] of a two port network is $$\left[ S \right] = \lef... In the circuit shown, all the transmission line sections are lossless. The Volta... A plane wave having the electric field component$$\${\overrightarrow E _i} = 24...
The silicon sample with unit cross-sectional area shown below is in thermal equi...
The silicon sample with unit cross-sectional area shown below is in thermal equi...
In a uniformly doped BJT, assume that N<sub>E</sub>, N<sub>B</sub> and N<sub>C</...
The eigen values of a skew-symmetric matrix are
If $$\,{e^y} = {x^{1/x}}\,\,$$ then $$y$$ has a
If $$\overrightarrow A = xy\,\widehat a{}_x + {x^2}\widehat a{}_y\,\,$$ then $$... A fair coin is tossed independently four times. The probability of the event ''T... A function$$n(x)$$satisfies the differential equation$${{{d^2}n\left( x \righ...
Consider a differential equation $${{dy\left( x \right)} \over {dx}} - y\left( x... The residues of a complex function$$X\left( z \right) = {{1 - 2z} \over {z\left...
In the circuit shown, the device connected to Y<sub>5</sub> can have address in ...
In the circuit shown, the device connected to Y5 can have address in the range <...
For the 8085 assembly language program given below, the content of the accumulat...
<p>In the circuit shown, the power supplied by the voltage source is </p> <img a...
For parallel RLC circuit, which one of the following statements is NOT correct? ...
The current I in the circuit shown is <img alt="GATE 2010 Network Theory Sinusoi...
For the two-port network shown below, the short-circuit admittance parameter mat...
In the circuit shown, the switch S is open for a long time and is closed at t=0....
The trigonometric Fourier series for the waveform f(t) shown below contains <img...
Given f(t) = $${L^{ - 1}}\left[ {{{3s + 1} \over {{s^3} + 4{s^2} + \left( {K - 3... For an N-point FFT algorithm with N =$${2^m}$$which one of the following stat... Consider the z-transform <br>X(z)=5$${z^2} + 4{z^{ - 1}} + 3;0 &lt; \left| z \r...
A continuous time LTI system is described by $${{{d^2}y(t)} \over {d{t^2}}} + 4{... Two discrete time systems with impulse responses$${h_1}\left[ n \right]\, = \de...
The transfer function of a discrete time <b>LTI</b> system is given by <br>$$H\... Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter ... A system with the transfer function$${{Y(s)} \over {X(s)}} = {s \over {s + p}}\...
The Nyquist sampling rate for the signal $$s(t) = {{\sin \,(500\pi t)} \over {\p... Consider an angle modutated signal$$x(t) = 6\,\,\cos \,[2\,\pi \, \times {10^6...

## General Aptitude

Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sist...
If 137+276=435 how much is 731+672?
25 persons are in a room. 15 of them play hockey, 17 of them play football and 1...
5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build ...
Given digits 2,2,3,3,3,4,4,4,4 how many distinct 4 digit numbers greater than 30...
Modern warfare has changed from large scale clashes of armies to suppression of ...
The question below consists of a pair of related of related words followed by fo...
Which of the following options is the closest in meaning to the world below: <p>...
Choose the most appropriate word from the options given below to complete the fo...
Choose the most appropriate word from the options given below to complete the fo...

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