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Recent questions tagged gate2015-ec-3

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GATE ECE 2015 Set 3 | GA Question: 2
Choose the most suitable one word substitute for the following expression: Connotation of a road or way Pertinacious Viaticum Clandestine Ravenous
Choose the most suitable one word substitute for the following expression:Connotation of a road or wayPertinaciousViaticumClandestine Ravenous
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GATE ECE 2015 Set 3 | GA Question: 3
Choose the correct verb to fill in the blank below: Let us __________ introvert alternate atheist altruist
Choose the correct verb to fill in the blank below:Let us __________introvertalternateatheistaltruist
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GATE ECE 2015 Set 3 | GA Question: 4
Find the missing sequence in the letter series below: $A, CD, GHI,?, UVWXY$ $LMN$ $MNO$ $MNOP$ $NOPQ$
Find the missing sequence in the letter series below:$A, CD, GHI,?, UVWXY$$LMN$$MNO$$MNOP$$NOPQ$
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GATE ECE 2015 Set 3 | GA Question: 5
If $x>y>1,$ which of the following must be true? $\text{ln } x > \text{ln }y$ $e^{x}>e^{y}$ $y^{x}>x^{y}$ $\cos x> \cos y$ $(i)$ and $(ii)$ $(i)$ and $(iii)$ $(iii)$ and $(iv)$ $(ii)$ and $(iv)$
If $x>y>1,$ which of the following must be true?$\text{ln } x \text{ln }y$$e^{x}>e^{y}$$y^{x}>x^{y}$$\cos x \cos y$ $(i)$ and $(ii)$$(i)$ and $(iii)$ $(iii)$ and $(iv)$$...
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GATE ECE 2015 Set 3 | GA Question: 8
From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is ________.
From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radiu...
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GATE ECE 2015 Set 3 | GA Question: 9
$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is $1$ $\frac{1}{\sqrt{2}}$ $0$ $-1$
$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is$1$$\frac{1}{\sqrt{2}}$$0$$-1$
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GATE ECE 2015 Set 3 | Question: 1
For $A = \begin{bmatrix} 1 &\tan x \\ -\tan x &1 \end{bmatrix},$ the determinant of $A^{T}A^{-1}$ is $\sec^{2}x$ $\cos 4x$ $1$ $0$
For $A = \begin{bmatrix} 1 &\tan x \\ -\tan x &1 \end{bmatrix},$ the determinant of $A^{T}A^{-1}$ is$\sec^{2}x$$\cos 4x$$1$$0$
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GATE ECE 2015 Set 3 | Question: 2
The contour on the $x-y$ plane, where the partial derivative of $x^{2} + y^{2}$ with respect to $y$ is equal to the partial derivative of $6y+4x$ with respect to $x$, is $y=2$ $x=2$ $x+y=4$ $x-y=0$
The contour on the $x-y$ plane, where the partial derivative of $x^{2} + y^{2}$ with respect to $y$ is equal to the partial derivative of $6y+4x$ with respect to $x$, is$...
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GATE ECE 2015 Set 3 | Question: 3
If $C$ is a circle of radius $r$ with centre $z_{0},$ in the complex $z$-plane and if $n$ is a non-zero integer, then $\oint _{C}\frac{dz}{(z-z_{0})^{n+1}}$ equals $2\pi n j$ $0$ $\frac{nj}{2\pi}$ $2\pi n$
If $C$ is a circle of radius $r$ with centre $z_{0},$ in the complex $z$-plane and if $n$ is a non-zero integer, then $\oint _{C}\frac{dz}{(z-z_{0})^{n+1}}$ equals$2\pi n...
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GATE ECE 2015 Set 3 | Question: 4
Consider the function $g(t) = e^{-t}\sin(2\pi t)u(t)$ where $u(t)$ is the unit step function. The area under $g(t)$ is ______.
Consider the function $g(t) = e^{-t}\sin(2\pi t)u(t)$ where $u(t)$ is the unit step function. The area under $g(t)$ is ______.
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GATE ECE 2015 Set 3 | Question: 5
The value of $\displaystyle{}\sum_{n=0}^{\infty} n \left(\dfrac{1}{2}\right)^{n}$ is ________.
The value of $\displaystyle{}\sum_{n=0}^{\infty} n \left(\dfrac{1}{2}\right)^{n}$ is ________.
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GATE ECE 2015 Set 3 | Question: 6
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals $a-b$ is _______.
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals $a-b$ is _______.
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GATE ECE 2015 Set 3 | Question: 9
In the circuit shown, the voltage $V_{X}$ (in Volts) is ________.
In the circuit shown, the voltage $V_{X}$ (in Volts) is ________.
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GATE ECE 2015 Set 3 | Question: 8
At very high frequencies, the peak output voltage $V_{0}$ (in Volts) is _______.
At very high frequencies, the peak output voltage $V_{0}$ (in Volts) is _______.
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GATE ECE 2015 Set 3 | Question: 9
Which one of the following processes is preferred to form the gate dielectric $(SiO_{2})$ of MOSFETs ? Sputtering Molecular beam epitaxy Wet oxidation Dry oxidation
Which one of the following processes is preferred to form the gate dielectric $(SiO_{2})$ of MOSFETs ? Sputtering Molecular beam epitaxy Wet oxidation Dry oxidation
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GATE ECE 2015 Set 3 | Question: 10
If the base width in a bipolar junction transistor is doubled, which one of the following statements will be TRUE? Current gain will increase Unity gain frequency will increase Emitter-base junction capacitance will increase Early Voltage will increase
If the base width in a bipolar junction transistor is doubled, which one of the following statements will be TRUE? Current gain will increase Unity gain frequency will in...
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GATE ECE 2015 Set 3 | Question: 11
In the circuit shown in the figure, the BJT has a current gain $(\beta)$ of $50.$ For an emitter-base voltage ܸ $V_{EB} = 600\: mV,$ the emitter-collector voltage $V_{EC}$ (in Volts) is _______.
In the circuit shown in the figure, the BJT has a current gain $(\beta)$ of $50.$ For an emitter-base voltage ܸ $V_{EB} = 600\: mV,$ the emitter-collector voltage $V_{EC...
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GATE ECE 2015 Set 3 | Question: 12
In the circuit shown using an ideal opamp, the $3$-dB cut-off frequency (in Hz) is _______.
In the circuit shown using an ideal opamp, the $3$-dB cut-off frequency (in Hz) is _______.
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GATE ECE 2015 Set 3 | Question: 13
In the circuit shown, assume that diodes $D_{1}$ and $D_{2}$ are ideal. In the steady state condition, the average voltage $V_{ab}$ (in Volts) across the $0.5\: \mu F$ capacitor is ______.
In the circuit shown, assume that diodes $D_{1}$ and $D_{2}$ are ideal. In the steady state condition, the average voltage $V_{ab}$ (in Volts) across the $0.5\: \mu F$ ca...
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GATE ECE 2015 Set 3 | Question: 16
Which one of the following $8085$ microprocessor programs correctly calculates the product of two $8$-bit numbers stored in registers $B$ and $C?$ ...
Which one of the following $8085$ microprocessor programs correctly calculates the product of two $8$-bit numbers stored in registers $B$ and $C?$$\begin{array}{ll} {} & ...
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GATE ECE 2015 Set 3 | Question: 17
The impulse response of an LTI system can be obtained by differentiating the unit ramp response differentiating the unit step response integrating the unit ramp response integrating the unit step response
The impulse response of an LTI system can be obtained by differentiating the unit ramp response differentiating the unit step response integrating the unit ramp response ...
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GATE ECE 2015 Set 3 | Question: 18
Consider a four-point moving average filter defined by the equation $y[n] = \displaystyle{}\sum _{i=0}^{3}\alpha_{i}\:x[n-i].$ ... $\alpha_{1} = \alpha_{2} = 0;\:\alpha_{0} = \alpha_{3}$
Consider a four-point moving average filter defined by the equation $y[n] = \displaystyle{}\sum _{i=0}^{3}\alpha_{i}\:x[n-i].$ The condition on the filter coefficients t...
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GATE ECE 2015 Set 3 | Question: 19
Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued. The value of $f_{H}\: – f_{L}\:( \text{in}\: Hz)$ is ___________.
Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued.The value of $f_{H}\: – f_{L}\:( \text{in}\: Hz)$ is ___________.
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GATE ECE 2015 Set 3 | Question: 20
The phase margin (in degrees) of the system $G(s) = \dfrac{10}{s(s+10)}$ is _______.
The phase margin (in degrees) of the system $G(s) = \dfrac{10}{s(s+10)}$ is _______.
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GATE ECE 2015 Set 3 | Question: 22
The modulation scheme commonly used for transmission from GSM mobile terminals is $4$-QAM $16$-PSK Walsh-Hadamard orthogonal codes Gaussian Minimum Shift Keying (GMSK)
The modulation scheme commonly used for transmission from GSM mobile terminals is$4$-QAM $16$-PSK Walsh-Hadamard orthogonal codes Gaussian Minimum Shift Keying (GMSK)
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GATE ECE 2015 Set 3 | Question: 26
The Newton-Raphson method is used to solve the equation $f(x) = x^{3} – 5x^{2} + 6x – 8 = 0.$ Taking the initial guess as $x = 5,$ the solution obtained at the end of the first iteration is __________.
The Newton-Raphson method is used to solve the equation $f(x) = x^{3} – 5x^{2} + 6x – 8 = 0.$ Taking the initial guess as $x = 5,$ the solution obtained at the end of...
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GATE ECE 2015 Set 3 | Question: 27
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The expected value of $X$ is _______.
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The...
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GATE ECE 2015 Set 3 | Question: 28
Consider the differential equation $\dfrac{\mathrm{d^{2}}x(t) }{\mathrm{d} t^{2}} +3\frac{\mathrm{d}x(t)}{\mathrm{d} t} + 2x(t) = 0. $ Given $x(0) = 20$ and $x(1) = 10/e,$ where $e = 2.718,$ the value of $x(2)$ is ________.
Consider the differential equation$$\dfrac{\mathrm{d^{2}}x(t) }{\mathrm{d} t^{2}} +3\frac{\mathrm{d}x(t)}{\mathrm{d} t} + 2x(t) = 0. $$Given $x(0) = 20$ and $x(1) = 10/e,...
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