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GATE ECE 2013

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 below, the silicon npn transistor Q has a very high value o...
The ac schematic of an NMOS common-source stage is shown in the figure below, wh...
In a voltage-voltage feedback as shown below, which one of the following stateme...
In the circuit shown below, what is the output voltage (v<sub>out</sub> ) if a s...
In the circuit shown below the op-amps are ideal. Then V<sub>out</sub> in Volts ...
The bit rate of a digital communication system is R kbits/s. The modulation used...
Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of...
Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of...
Let U and V be two independent zero mean Gaussian random variables of variances ...
The signal flow graph for a system is given below. The transfer function $$\frac...
Which one of the following statements is NOT TRUE for a continuous time causal a...
A polynomial $$f\left(x\right)\;=\;a_4x^4\;+\;a_3x^3\;+\;a_2x^2\;+\;a_1x\;-\;a_0...
The open-loop transfer function of a dc motor is given as $$\;\frac{\omega\left(...
The Bode plot of a transfer function G (s) is shown in the figure below. <img ...
The state diagram of a system is shown below. A system is shown below. A system ...
The state diagram of a system is shown below. A system is shown below. A system ...
In the sum of products function f (x,y,z) = $$\sum {} $$m (2,3,4,5), the prime i...
A bulb in a staircase has two switches, one switch being at the ground floor and...
In the circuit shown below, Q<sub>1</sub> has negligible collector-to-emitter sa...
The divergence of the vector field $$\overrightarrow A\;=\;x{\widehat a}_x\;+\;y...
The return loss of a device is found to be 20 dB. The voltage standing wave rati...
A monochromatic plane wave of wavelength $$\lambda = 600$$ is propagating in th...
A monochromatic plane wave of wavelength $$\lambda = 600$$ is propagating in th...
In a forward biased P-N junction diode, the sequence of events that best describ...
In the circuit shown below, the knee current of the ideal Zener diode is 10 mA. ...
In IC technology, dry oxidation (using dry oxygen) as compared to wet oxidation ...
In a MOSFET operating in the saturation region, the channel length modulation ef...
The small-signal resistance (i.e., $${{d{V_B}} \over {d{I_D}}}$$ ) in $$k\Omega ...
The minimum eigenvalue of the following matrix is $$\left[ {\matrix{ 3 &amp; ...
Let $$A$$ be an $$m\,\, \times \,\,n$$ matrix and $$B$$ an $$n\,\, \times \,\,m$...
Consider a vector field $$\overrightarrow A \left( {\overrightarrow r } \right)....
The divergence of the vector field $$\,\overrightarrow A = x\widehat a{}_x + y\...
Let $$U$$ and $$V$$ be two independent zero mean Gaussian random variables of ...
Consider two identically distributed zero - mean random variables $$U$$ and $$V....
There are four chips each of 1024 bytes connected to a 16 bit address bus as sho...
For 8085 microprocessor, the following program is executed. <img class="questi...
<p>Consider a delta connection of resistors and its equivalent star connection a...
<p>Two magnetically uncoupled inductive coils have Q factors q<sub>1</sub> and q...
<p>Three capacitors C<sub>1</sub> ,C<sub>2</sub> and C<sub>3</sub> whose values ...
<p>Consider the following figure </p> <img alt="GATE 2013 Network Theory Network...
<p>Consider the following figure </p> <img alt="GATE 2013 Network Theory Network...
A source v<sub>s</sub>(t) = V cos 100 $$\pi$$t has an internal impedance of (4 +...
In the circuit shown below, if the source voltage V<sub>s</sub> =100$$\angle$$53...
The following arrangement consists of an ideal transformer and an attenuator whi...
A system is described by the differential equation $$${{{d^2}y} \over {d{t^2}}} ...
The DFT of a vector [a b c d] is the vector [α β γ δ ]. Consider the product <i...
The impulse response of a system is h(t) = t u(t). For an input u(t - 1), the ou...
Two system with impulse responses h<sub>1</sub>(t) and h<sub>2</sub>(t) are conn...
The impulse response of a continuous time system is given by $$h(t) = \delta (t ...
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. Accord...
Assuming zero initial condition, the response y (t) of the system given below to...
Let g(t) = $${e^{ - \pi {t^2}}}$$, and h(t) is a filter matched to g(t). If g(t...
For a periodic signal v(t) = 30 sin 100t + 10cos 300t + 6sin $${\rm{(500t + }}\...

General Aptitude

The set of values of p for which the roots of the equation 3x<sup>2</sup> + 2x +...
Find the sum to n terms of the series 10 + 84 + 734 +.........
A car travels 8 km in the first quarter of an hour, 6 km in the second quarter a...
In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday...
What is the chance that a leap year, selected at random, will contain 53 Sundays...

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