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## GATE ECE 2014 Set 1

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

A BJT is baised in forward active mode Assume V<sub>BE</sub> = 0.7 V, kT/q = 25 ...
For the amplifier shown in the figure, the BJT parameters are V<sub>BE</sub> = 0...
A good current buffer has
In the low - pass filter shown in the figure, for a cut - off frequency of 5 KHz...
In the ac equivalent circuit shown in the figure, if i$${_F}$$ is very large, t...
In the voltage regulator circuit shown in the figure, the op - amp is ideal. The...
In the circuit shown, the op-amp has finite input impedance, infinite voltage ga...
In a code - division multiple access (CDMA) system with N = 8 chips, the m...
Consider a random process $$X\left( t \right) = \sqrt 2 \sin \left( {2\... Let$$Q\left( {\sqrt y } \right)$$be the BER of a BPSK system over an AWGN chan... The capacity of a Binary Symmetric Channel (BSC) with cross - over pro... A fair coin is tossed repeatedly until a 'Head' appears for the first time. Let ... The forward path transfer function of a unity negative feedback system is given ... For the following feedback system$$G\left(s\right)=\frac1{\left(s+1\right)\left...
Consider the feedback system shown in the figure. The Nyquist plot of G(s) is al...
The phase margin in degrees of G(s)=$${{10} \over {\left( {s + 0.1} \right)\left... Consider the state space model of a system, as given below <img class="question-... The Boolean expression (X+Y)(X+$$\overline Y $$)+($$\overline {(X\overline Y ) +...
Consider the Boolean function, F(w,z,y,z)=wy+ xy +$$\overline w \,xyz + \overlin... The output F in the digital logic circuit shown in the figure is <img src="https... Five JK flip - flops are cascaded to form circuit shown in figure. Clock pulses ... The digital logic shown in the figure satisfies the given state diagram when Q<s... A two - port network has scattering parameters given by$$[S] = \left[ {\m...
For a parallel plate transmission line, let v be the speed of propagation and Z ...
In spherical coordinates, let $${{{\widehat a}_{_0}},\,{{\widehat a}_{_\phi }}}... When the optical power incident on a photodiode is 10μW and the responsivity is ... If fixed positive charges are present in the gate oxide of an n-channel enhancem... In the ac equivalent circuit shown in the figure, if i<sub>n</sub> is the input ... In the following circuit employing pass transistor logic, all NMOS transistors a... A depletion type N -channel MOSFET is biased in its linear region for use as a v... For matrices of same dimension$$M,N$$and scalar$$c,$$which one of these prop... Consider the matrix$${J_6} = \left[ {\matrix{ 0 &amp; 0 &amp; 0 &amp; 0 &amp...
$$A$$ real $$\left( {4\,\, \times \,\,4} \right)$$ matrix $$A$$ satisfies the eq...
The Taylor series expansion of $$3$$ $$sin$$ $$x$$ $$+2cos$$ $$x$$ is
The volume under the surface $$z\left( {x,y} \right) = x + y$$ and above the tr...
Let $$\,{X_1},\,\,{X_2}\,\,$$ and $$\,{X_3}\,$$ be independent and identically d...
Let $$X$$ be a real - valued random variable with $$E\left[ X \right]$$ and $$E\... In a housing society, half of the families have a single child per family, while...$$C$$is a closed path in the$$z-$$plane given by <br>$$\left| z \right| = 3.\$...
A system is described by the following differential equation, where $$u(t)$$ is ...
<p>Consider the configuration shown in the figure which is a portion of a larger...
<p>A Y-network has resistances of 10Ω each in two of its arms, while the third a...
For maximum power transfer between two cascaded sections of an electrical networ...
A 230 V rms source supplies power to two loads connected in parallel. The first ...
In the circuit shown in the figure, the value of capacitor C (in mF) needed to h...
A periodic variable x is shown in the figure as a function of time. The root - m...
A continuous, linear time - invariant fiilter has an impulse response h(t) descr...
A system is described by the following differential equation, where u(t) is the ...
Consider a discrete time periodic signal x$$\left[ n \right]$$= $$\sin \left( {... Let x$$\left[ n\right]$$=$${\left( { - {1 \over 9}} \right)^n}\,u(n) - {\left(...
For a function g(t), it is given that $$\int_{ - \infty }^\infty {g(t){e^{ - j\... Consider two real valued signals,$$x\left( t \right)$$band - limited to$$\,\l...
A discrete - time signal x[n] = $${\rm{sin(}}\,{\pi ^2}n)$$, n being an integer ...

## General Aptitude

For submitting tax returns, all resident males with annual income below Rs 10 la...
Find the odd one from the following group: <br>W,E,K,O<br> I,Q,W,A <br>F,N,T,X <...
A train that is 280 meters long, traveling at a uniform speed, crosses a platfor...
The exports and imports (in crores of Rs.) of a country from 2000 to 2007 are gi...
You are given three coins: one has heads on both faces, the second has tails on ...

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