Recent activity - GO Electronics

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1

GATE2013-2
Consider a vector field $\vec{A}(\vec{r}).$ The closed loop line integral $\displaystyle {} \int \vec{A}\bullet\vec{dl}$ can be expressed as $\displaystyle {} \iint (\triangledown \times \vec{A}) \bullet\vec{ds}$ over the closed surface bounded by the ... bounded by the loop $\displaystyle {} \iiint (\triangledown \times \vec{A}) \bullet\vec{ds}$ over the open surface bounded by the loop

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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GATE2013-1
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles an AND gate an OR gate an XOR gate a NAND gate

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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3

GATE2013-3
Two systems with impulse responses $h_{1}(t)$ and $h_{2}(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given by product of $h_{1}(t)$ and $h_{2}(t)$ sum of $h_{1}(t)$ and $h_{2}(t)$ convolution of $h_{1}(t)$ and $h_{2}(t)$ subtraction of $h_{2}(t)$ from $h_{1}(t)$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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4

GATE2013-4
In a forward biased $pn$ junction diode, the sequence of events that best describes the mechanism of current flow is injection, and subsequent diffusion and recombination of minority carriers injection, and subsequent drift and generation ... extraction, and subsequent diffusion and generation of minority carriers extraction, and subsequent drift and recombination of minority carriers

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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5

GATE2013-5
In IC technology, dry oxidation (using dry oxygen) as compared to wet oxidation (using steam or water vapor) produces superior quality oxide with a higher growth rate inferior quality oxide with a higher growth rate inferior quality oxide with a lower growth rate superior quality oxide with a lower growth rate

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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6

GATE2013-6
The maximum value of $\theta$ until which the approximation $\sin\theta \approx \theta $ holds to within $10\%$ error is $10^{\circ}$ $18^{\circ}$ $50^{\circ}$ $90^{\circ}$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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7

GATE2013-7
The divergence of the vector field $\vec{A} = x\hat{a}_{x} + y\hat{a}_{x} + z\hat{a}_{z}$ is $0$ $1/3$ $1$ $3$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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8

GATE2013-8
The impulse response of a system is $h(t) = tu(t).$ For an input $u(t − 1),$ the output is $\frac{t^{2}}{2}u(t)$ $\frac{t(t-1)}{2}u(t-1)$ $\frac{(t-1)^{2}}{2}u(t-1)$ $\frac{t^{2}-1}{2}u(t-1)$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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9

GATE2013-9
The Bode plot of a transfer function $G(s)$ is shown in the figure below. The gain $(20\log \mid G(s)\mid)$ is $32\:dB$ and $-8\:dB$ at $1\:rad/s$ and $10\:rad/s$ respectively. The phase is negative for all $\omega.$ Then $G(s)$ is $\frac{39.8}{s}$ $\frac{39.8}{s^{2}}$ $\frac{32}{s}$ $\frac{32}{s^{2}}$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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10

GATE2013-10
In the circuit shown below what is the output voltage $(V_{out})$ if a silicon transistor $Q$ and an ideal op-amp are used? $-15\: V$ $-0.7\: V$ $+0.7\: V$ $+15\: V$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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11

GATE2012-36
A fair coin is tossed till head appears for the first time. The probability that the number of required tosses is odd, is $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{3}{4}$

answered Nov 26 in Others by Naveen Kumar 3 (150 points)

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12

GATE2013-11
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, k> 0,$ the elements of the corresponding star equivalent will be scaled by a factor of $k^{2}$ $k$ $1/k$ $\sqrt{k}$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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13

GATE2013-12
For $8085$ microprocessor, the following program is executed. $ MVI\: A, 05H;$ $ MVI\: B, 05H;$ $PTR:ADD \:B;$ $ DCR \:B;$ $JNZ\: PTR;$ $ADI\: 03H;$ $HLT;$ At the end of program, accumulator contains $17H$ $20H $ $23H$ $ 05H$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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14

GATE2013-13
The bit rate of a digital communication system is $R\: kbits/s.$ The modulation used is $32$-QAM. The minimum bandwidth required for ISI free transmission is $R/10\: Hz$ $R/10\: kHz$ $R/5\: Hz$ $R/5\: kHz$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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15

GATE2013-14
For a periodic signal $v(t) = 30\sin100\:t + 10\cos300\:t + 6\sin(500\:t+\pi/4),$ the fundamental frequency in $rad/sec$ is $100$ $300$ $500$ $1500$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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16

GATE2013-15
In a voltage-voltage feedback as shown below, which one of the following statements is TRUE if the gain $k$ is increased? The input impedance increases and output impedance decreases The input impedance increases and output impedance also increases The input impedance decreases and output impedance also decreases The input impedance decreases and output impedance increases

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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17

GATE2013-16
A band-limited signal with a maximum frequency of $5\: kHz$ is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is $5\: kHz $ $12\: kHz$ $15\: kHz$ $20\: kHz$

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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18

GATE2013-17
In a MOSFET operating in the saturation region, the channel length modulation effect causes an increase in the gate-source capacitance a decrease in the transconductance a decrease in the unity-gain cutoff frequency a decrease in the output resistance

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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19

GATE2013-18
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system? All the poles of the system must lie on the left side of the $j\omega$ axis Zeros of the system can lie anywhere in the $s$-plane All the poles must lie within $\mid s \mid =1$ All the roots of the characteristic equation must be located on the left side of the $j\omega$ axis

edited Nov 26 in Others by Lakshman Patel RJIT (190 points)

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20

GATE2013-19
The minimum eigenvalue of the following matrix is $\begin{bmatrix} 3& 5& 2\\5 &12 &7 \\2 &7 & 5\end{bmatrix}$ $0$ $1$ $2$ $3$

answered Nov 26 in Linear Algebra by Lakshman Patel RJIT (190 points)

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21

GATE2013-20
A polynomial $f(x) = a_{4}x^{4} + a_{3}x^{3} + a_{2}x^{2} + a_{1}x - a_{0}$ with all coefficients positive has no real roots no negative real root odd number of real roots at least one positive and one negative real root

edited Nov 25 in Others by Lakshman Patel RJIT (190 points)

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22

GATE2013-21
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is $u(t)$ $tu(t)$ $\frac{t^{2}}{2}u(t)$ $e^{-t}u(t)$

edited Nov 25 in Others by Lakshman Patel RJIT (190 points)

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23

GATE2013-22
The transfer function $\dfrac{V_{2}(s)}{V_{1}(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1}$ $\frac{3s+6}{s+2}$ $\frac{s+2}{s+1}$ $\frac{s+1}{s+2}$

edited Nov 25 in Others by Lakshman Patel RJIT (190 points)

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24

GATE2013-23
A source $v_{s}(t) = V\cos100\:\pi t$ has an internal impedance of $(4 + j3)\:\Omega.$ If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in $\Omega$ should be $3$ $4$ $5$ $7$

edited Nov 25 in Others by Lakshman Patel RJIT (190 points)

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25

GATE2013-24
The return loss of a device is found to be $20\:dB.$ The voltage standing wave ratio $(VSWR)$ and magnitude of reflection coefficient are respectively $1.22$ and $0.1$ $0.81$ and $0.1$ $-1.22$ and $0.1$ $2.44$ and $0.2$

edited Nov 25 in Others by Lakshman Patel RJIT (190 points)

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26

GATE2013-25
Let $g(t) = e^{-\pi t^{2}},$ and $h(t)$ is a filter matched to $g(t).$ If $g(t)$ is applied as input to $h(t),$ then the Fourier transformation of the output is $ e^{-\pi f^{2}}$ $ e^{-\pi f^{2}/ 2}$ $ e^{-\pi \mid f \mid }$ $ e^{-2\pi f^{2}}$

edited Nov 25 in Others by Lakshman Patel RJIT (190 points)

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27

GATE2017 EC-2: 15
For the circuit shown in the figure, P and Q are the inputs and Y is the output. The logic implemented by the circuit is XNOR XOR NOR OR

edited Nov 25 in Digital Circuits by jothee (100 points)

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28

GATE2017 EC-1: 27
A three dimensional region R of finite volume is described by $x^2 + y^2 \leq z^3; \: \: 0 \leq z \leq 1,$ where $x,y,z$ are real. The volume of R (up to two decimal places) is _________

edited Nov 25 in Network Solution Methods by jothee (100 points)

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29

GATE2013-26
Let $U$ and $V$ be two independent zero mean Gaussian random variables of variances $\dfrac{1}{4}$ and $\dfrac{1}{9}$ respectively. The probability $P(3V\geq 2U)$ is $4/9$ $1/2$ $2/3$ $5/9$

recategorized Nov 24 in Probability and Statistics by Lakshman Patel RJIT (190 points)

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30

GATE2013-27
Let $A$ be an $m \times n$ matrix and $B$ an $n \times m$ matrix. It is given that determinant $(I_{m} + AB)$ determinant $(I_{n} + BA),$ where $I_{k}$ is the $k \times k$ ... $2$ $5$ $8$ $16$

recategorized Nov 24 in Linear Algebra by Lakshman Patel RJIT (190 points)

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31

GATE2013-28
In the circuit shown below, if the source voltage $VS = 100\angle 53.13^{\circ}\: V$ then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_{L}$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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32

GATE2013-29
The open-loop transfer function of a dc motor is given as $\dfrac{\omega(s)}{V_{a}(s)} = \dfrac{10}{1+10s}.$ When connected in feedback as shown below, the approximate value of $K_{a}$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is $1$ $5$ $10$ $100$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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33

GATE2013-30
In the circuit shown below, the knee current of the ideal Zener diode is $10\: mA.$ To maintain $5\: V$ across $R_{L},$ the minimum value of $R_{L}$ in $\Omega$ and the minimum power rating of the Zener diode in $mW,$ respectively, are $125$ and $125$ $125$ and $250$ $250$ and $125$ $250$ and $250$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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34

GATE2013-31
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8.$ An ac voltage $V_{WX1} = 100V$ is applied across $WX$ to get an open circuit voltage $V_{YZ1}$ across $YZ.$ Next, an ac voltage $V_{YZ2}= 100V$ is applied across ... respectively, $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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35

GATE2013-32
Two magnetically uncoupled inductive coils have $Q$ factors $q_{1}$ and $q_{2}$ at the chosen operating frequency. Their respective resistances are $R_{1}$ and $R_{2}.$ When connected in series, their effective $Q$ factor at the same operating frequency is $q_{1} + q_{2}$ $(1/q_{1}) + (1/q_{2})$ $(q_{1}R_{1} + q_{2}R_{2})/(R_{1} + R_{2})$ $(q_{1}R_{2} + q_{2}R_{1})/(R_{1} + R_{2})$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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36

GATE2013-33
The impulse response of a continuous time system is given by $h(t) = \delta(t-1) + \delta(t-3).$ The value of the step response at $t = 2$ is $0$ $1$ $2$ $3$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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37

GATE2013-34
The small-signal resistance $(i.e., dV_{B}/dI_{D})$ in $k\Omega$ offered by the $n$-channel $MOSFET\: M$ shown in the figure below, at a bias point of $V_{B} = 2\: V$ is (device data for $M:$ ... $V_{TN} = 1\: V,$ and neglect body effect and channel length modulation effects) $12.5$ $25$ $50$ $100$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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38

GATE2013-35
The ac schematic of an $NMOS$ common-source stage is shown in the figure below, where part of the biasing circuits has been omitted for simplicity. For the $n$-channel $MOSFET\: M,$ the transconductance $g_{m} = 1\; mA/V,$ and body effect and channel length modulation effect are to be neglected. The lower cutoff frequency in $Hz$ of the circuit is approximately at $8$ $32$ $50$ $200$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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39

GATE2013-36
A system is described by the differential equation $\dfrac{\mathrm{d}^{2} y}{\mathrm{d} x} + 5\dfrac{\mathrm{d}y }{\mathrm{d} x} + 6y(t) = x(t).$ Let $x(t)$ be a rectangular pulse given by $x(t) = \left\{\begin{matrix} 1&0<t<2 \\ 0&\text{otherwise} \end{matrix}\right.$ Assuming that ... $\frac{e^{-2x}}{(s+2)(s+3)}$ $\frac{1-e^{-2x}}{s(s+2)(s+3)}$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)

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40

GATE2013-37
A system described by a linear, constant coefficient, ordinary, first order differential equation has an exact solution given by $y(t)$ for $t>0,$ when the forcing function is $x(t)$ and the initial condition is $y(0).$ If one wishes to modify the system so that ... the forcing function to $j\sqrt{2}x(t)$ change the initial condition to $−2y(0)$ and the forcing function to $−2x(t)$

edited Nov 24 in Others by Lakshman Patel RJIT (190 points)