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GATE ECE 2015 Set 3

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

In the circuit shown, assume that diodes D<sub>1</sub> and D<sub>2</sub> are ide...
In the circuit shown using am ideal opamp, the 3-dB cut-off frequency (in Hz) is...
In the circuit shown, assume that the opamp is ideal. If the gain ($${V_0}/{V_{i...
The modulation scheme commonly used for transmission from GSM mobile terminals i...
A random binary wave $$y(t)$$ is given by $$$y\left( t \right) = \sum\limits_{n...
The impulse response of an LTI system can be obtained by
The characteristic equation of an LTI system is given by<br> F(s) = s<sup>5</sup...
For the system shown in the figure, s = –2.75 lies on the root locus if K is____...
Consider the Bode plot shown in the figure. Assume that all the poles and zeroes...
The phase margin (in degrees) of the system G(s)=$${{10} \over {\left( {s + 10}...
The transfer function of a first-order controller is given as $${G_c}(s) = {{K\...
The position control of a <b>DC</b> servo-motor is given in the figure. The valu...
A network is described by the state model as $$$\eqalign{ &amp; {\mathop x\lim...
In the circuit shown, diodes $${D_1}$$ ,$${D_2}$$ and $${D_3}$$ are ideal, an...
A universal logic gate can implement any Boolean function by connecting sufficie...
The circuit shown consists of J-K flip-flops, each with an active low asynchrono...
A three bit pseudo random number generator is shown. Initially the value of outp...
An SR latch is implemented using TTL gates as shown in the figure. The set and r...
A coaxial capacitor of inner radius 1 mm and outer radius 5 mm has a capacitance...
A coaxial cable is made of two brass conductors. The spacing between the conduct...
Consider the 3 m long lossless air-filled transmission line shown in the figure....
A 200 m long transmission line having parameters shown in the figure is terminat...
The directivity of an antenna array can be increased by adding more antenna elem...
The electric field profile in the depletion region of a p-n junction in equilibr...
In the circuit shown in the figure, the BJT has a current gain (β) of 50. For an...
If the base width in a bipolar junction transistor is doubled, which one of the ...
An npn BJT having reverse saturation current $$I_s\;=\;10^{-15}\;A$$ is biased i...
Which one of the following processes is preferred to from the gate dielectric (S...
In the circuit shown, both the enhancement mode NMOS transistors have the follow...
The current in an enhancement mode NMOS transistor biased in saturation mode was...
For $$A = \left[ {\matrix{ 1 &amp; {\tan x} \cr { - \tan x} &amp; 1 \cr...
The contour on the $$x-y$$ plane, where the partial derivative of $${x^2} + {y^2...
The value of $$\sum\limits_{n = 0}^\infty {n{{\left( {{1 \over 2}} \right)}^n}\...
A fair die with faces $$\left\{ {1,2,3,4,5,6} \right\}$$ is thrown repeatedly ti...
The variance of the random variable $$X$$ with probability density function $$\...
Consider the differential equation $${{{d^2}x\left( t \right)} \over {d{t^2}}} +...
The Newton-Raphson method is used to solve the equation $$f\left( x \right) = {x...
If $$C$$ is a circle of radius $$r$$ with centre $${z_0}$$ in the complex $$z$$-...
Consider the function $$g\left( t \right) = {e^{ - t}}\,\sin \left( {2\pi t} \ri...
Which one of the following 8085 microprocessor programs correctly calculates the...
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) ...
In the circuit shown, the voltage V<sub>x</sub> (in Volts) is ______.<br> <img a...
At very high frequencies, the peak output voltage V<sub>0</sub> (in Volts) is __...
In the circuit shown, the current $${\rm I}$$ flowing through the $$50\,\Omega $...
The ABCD parameters of the following 2-port network are <img class="question-i...
The value of $$\sum\limits_{n = 0}^\infty n {\left( {{1 \over 2}} \right)^n}$$ ...
Let $$\widetilde x\left[ n \right]\, = \,1 + \cos \left[ {{{\pi n} \over 8}} \ri...
A realization of a stable discrete time system is shown in the figure. If the sy...
Suppose x $$\left[ n \right]$$ is an absolutely summable discrete-time signal. I...
The impulse response of an LTI system can be obtained by
The complex envelope of the bandpass signal $$x(t)\, = \, - \sqrt 2 \left( {{{\s...
Two sequence $${x_1}\left[ n \right]$$ and $${x_2}\left[ n \right]$$ have the sa...
Consider a four-point moving average filter defined by the equation $$y[n] = \su...
Consider a continuous-time signal defined as $$x(t) = \left( {{{\sin \,(\pi t/2)...
Consider the function $$g(t) = {e^{ - t}}\,\,\,\sin (2\pi t)\,u(t)$$ where u(t) ...
The complex envelope of the bandpass signal $$x(t) = - \sqrt 2 \left( {{{\sin \...

General Aptitude

If x&gt;y&gt;1, which of the following must be true? $$$\begin{array}{l}\mathrm ...
Find the missing sequence in the letter series below: <br>A, CD, GHI, ? , UVWXY

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