GATE ECE 2015 Set 3

## GATE ECE

In the circuit shown, assume that diodes D1 and D2 are ideal. In the steady-state condition the average voltage Vab (in

View Question In the circuit shown using am ideal opamp, the 3-dB cut-off frequency (in Hz) is _____.

View Question In the circuit shown, assume that the opamp is ideal. If the gain ($${V_0}/{V_{in}}$$) is -12, the value of R (in K$$\Om

View Question The modulation scheme commonly used for transmission from GSM mobile terminals is

View Question A random binary wave $$y(t)$$ is given by
$$$y\left( t \right) = \sum\limits_{n = - \infty }^\infty {{X_n}p\left( {t

View Question The impulse response of an LTI system can be obtained by

View Question The characteristic equation of an LTI system is given by F(s) = s5 + 2s4 +3s3 + 6s2 - 4s - 8 = 0.The number of roots tha

View Question For the system shown in the figure, s = –2.75 lies on the root locus if K is_____.

View Question Consider the Bode plot shown in the figure. Assume that all the poles and zeroes are real-valued.
The value of fH - fL

View Question The phase margin (in degrees) of the system
G(s)=$${{10} \over {\left( {s + 10} \right)}}$$ is ___________.

View Question The transfer function of a first-order controller is given as
$${G_c}(s) = {{K\left( {s + a} \right)} \over {s + b}}$$

View Question The position control of a DC servo-motor is given in the figure. The values of the parameters are
Kt=1 N-m/A, Ra=$$1\Ome

View Question A network is described by the state model as
$$$\eqalign{
& {\mathop x\limits^ \bullet _1} = 2{x_1} - {x_2} + 3u,

View Question In the circuit shown, diodes $${D_1}$$ ,$${D_2}$$ and $${D_3}$$ are ideal, and the inputs $${E_1}$$ , $${E_2}$$ and $

View Question A universal logic gate can implement any Boolean function by connecting sufficient number of
them appropriately. Three g

View Question The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset ($$\overline {{R_d}} $$ input).

View Question A three bit pseudo random number generator is shown. Initially the value of output Y = Y2 Y1 Y0 is set to 111. The value

View Question An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the

View Question A coaxial capacitor of inner radius 1 mm and outer radius 5 mm has a capacitance per
unit length of 172 pF/m. If the rat

View Question A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon $$\left( {{\va

View Question Consider the 3 m long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of $$

View Question A 200 m long transmission line having parameters shown in the figure is terminated into a load ܴ$$R_L$$. The line is con

View Question The directivity of an antenna array can be increased by adding more antenna elements, as a larger number of elements

View Question The electric field profile in the depletion region of a p-n junction in equilibrium is shown
in the figure. Which one of

View Question In the circuit shown in the figure, the BJT has a current gain (β) of 50. For an emitter-base
voltage VEB = 600 mV, the

View Question If the base width in a bipolar junction transistor is doubled, which one of the following
statements will be TRUE?

View Question An npn BJT having reverse saturation current $$I_s\;=\;10^{-15}\;A$$ is biased in the forward active
region with VBE = 7

View Question Which one of the following processes is preferred to from the gate dielectric (SiO2) of
MOSFETs?

View Question In the circuit shown, both the enhancement mode NMOS transistors have the following characteristics: kn = $${\mu _n}{C_{

View Question The current in an enhancement mode NMOS transistor biased in saturation mode was measured to be 1 mA at a drain-source v

View Question For $$A = \left[ {\matrix{
1 & {\tan x} \cr
{ - \tan x} & 1 \cr
} } \right],$$ the determinant of $$

View Question The contour on the $$x-y$$ plane, where the partial derivative of $${x^2} + {y^2}$$ with respect to $$y$$ is equal to th

View Question The value of $$\sum\limits_{n = 0}^\infty {n{{\left( {{1 \over 2}} \right)}^n}\,\,} $$ is _______.

View Question A fair die with faces $$\left\{ {1,2,3,4,5,6} \right\}$$ is thrown repeatedly till $$'3'$$ is observed for the first tim

View Question The variance of the random variable $$X$$ with probability density function $$\,f\left( x \right) = {1 \over 2}\left| x

View Question Consider the differential equation $${{{d^2}x\left( t \right)} \over {d{t^2}}} + 3{{dx\left( t \right)} \over {dt}} + 2x

View Question The Newton-Raphson method is used to solve the equation $$f\left( x \right) = {x^3} - 5{x^2} + 6x - 8 = 0.$$ Taking the

View Question If $$C$$ is a circle of radius $$r$$ with centre $${z_0}$$ in the complex $$z$$-plane and if $$'n'$$ is a non-zero integ

View Question Consider the function $$g\left( t \right) = {e^{ - t}}\,\sin \left( {2\pi t} \right)u\left( t \right)$$ ,where $$u(t)$$

View Question Which one of the following 8085 microprocessor programs correctly calculates the product of two 8-bit numbers stored in

View Question For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals a-b is _____.

View Question In the circuit shown, the voltage Vx (in Volts) is ______.

View Question At very high frequencies, the peak output voltage V0 (in Volts) is ______.

View Question In the circuit shown, the current $${\rm I}$$ flowing through the $$50\,\Omega $$ resistor will be zero if the value of

View Question The ABCD parameters of the following 2-port network are

View Question The value of $$\sum\limits_{n = 0}^\infty n {\left( {{1 \over 2}} \right)^n}$$ is ________________.

View Question Let $$\widetilde x\left[ n \right]\, = \,1 + \cos \left[ {{{\pi n} \over 8}} \right]$$ be a periodic signal with period

View Question A realization of a stable discrete time system is shown in the figure. If the system is excited by a
unit step sequence

View Question Suppose x $$\left[ n \right]$$ is an absolutely summable discrete-time signal. Its z-transform is a rational function
wi

View Question The impulse response of an LTI system can be obtained by

View Question The complex envelope of the bandpass signal $$x(t)\, = \, - \sqrt 2 \left( {{{\sin (\pi t/5)} \over {\pi t/5}}} \right)\

View Question Two sequence $${x_1}\left[ n \right]$$ and $${x_2}\left[ n \right]$$ have the same energy.
Suppose $${x_1}\left[ n \rig

View Question Consider a four-point moving average filter defined by the equation $$y[n] = \sum\limits_{i = 0}^3 {{\alpha _i}x[n - i]}

View Question Consider a continuous-time signal defined as $$x(t) = \left( {{{\sin \,(\pi t/2)} \over {(\pi t/2)}}} \right)*\sum\limit

View Question Consider the function $$g(t) = {e^{ - t}}\,\,\,\sin (2\pi t)\,u(t)$$ where u(t) is the unit step function. The area unde

View Question The complex envelope of the bandpass signal $$x(t) = - \sqrt 2 \left( {{{\sin \,(\pi t/5)} \over {\pi t/5}}} \right)\,\

View Question ## General Aptitude

If x>y>1, which of the following must be true?
$$$\begin{array}{l}\mathrm i.\;\ln\left(\mathrm x\right)>\ln\lef

View Question Find the missing sequence in the letter series below:
A, CD, GHI, ? , UVWXY

View Question