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2321
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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2322
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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2323
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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2324
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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2325
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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2326
GATE ECE 2015 Set 3 | Question: 21
The transfer function of a first-order controller is given as $G_{C}(s) = \dfrac{K(s+a)}{s+b}$where $K,a$ and ܾ$b$ are positive real numbers. The condition for this controller to act as a phase lead compensator is $a<b$ $a>b$ $K<ab$ $K>ab$
The transfer function of a first-order controller is given as $$G_{C}(s) = \dfrac{K(s+a)}{s+b}$$where $K,a$ and ܾ$b$ are positive real numbers. The condition for this c...
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2327
GATE ECE 2015 Set 3 | Question: 22
The modulation scheme commonly used for transmission from GSM mobile terminals is $4$-QAM $16$-PSK Walsh-Hadamard orthogonal codes Gaussian Minimum Shift Keying (GMSK)
The modulation scheme commonly used for transmission from GSM mobile terminals is$4$-QAM $16$-PSK Walsh-Hadamard orthogonal codes Gaussian Minimum Shift Keying (GMSK)
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2331
GATE ECE 2015 Set 3 | Question: 26
The Newton-Raphson method is used to solve the equation $f(x) = x^{3} – 5x^{2} + 6x – 8 = 0.$ Taking the initial guess as $x = 5,$ the solution obtained at the end of the first iteration is __________.
The Newton-Raphson method is used to solve the equation $f(x) = x^{3} – 5x^{2} + 6x – 8 = 0.$ Taking the initial guess as $x = 5,$ the solution obtained at the end of...
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2332
GATE ECE 2015 Set 3 | Question: 27
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The expected value of $X$ is _______.
A fair die with faces $\{1, 2, 3, 4, 5, 6\}$ is thrown repeatedly till $’3’$ is observed for the first time. Let $X$ denote the number of times the die is thrown. The...
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2333
GATE ECE 2015 Set 3 | Question: 28
Consider the differential equation $\dfrac{\mathrm{d^{2}}x(t) }{\mathrm{d} t^{2}} +3\frac{\mathrm{d}x(t)}{\mathrm{d} t} + 2x(t) = 0. $ Given $x(0) = 20$ and $x(1) = 10/e,$ where $e = 2.718,$ the value of $x(2)$ is ________.
Consider the differential equation$$\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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2335
GATE ECE 2015 Set 3 | Question: 30
In the circuit shown, the current $I$ flowing through the $50\;\Omega$ resistor will be zero if the value of capacitor $C (\text{in}\: \mu F)$ is ______.
In the circuit shown, the current $I$ flowing through the $50\;\Omega$ resistor will be zero if the value of capacitor $C (\text{in}\: \mu F)$ is ______.
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2341
GATE ECE 2015 Set 3 | Question: 36
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock cycles is $000$ $001$ $010$ $100$
A three bit pseudo random number generator is shown. Initially the value of output $Y\equiv Y_{2} Y_{1} Y_{0}$ is set to $111.$ The value of output $Y$ after three clock ...
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2344
GATE ECE 2015 Set 3 | Question: 39
In the circuit shown, assume that the opamp is ideal. If the gain $(v_{0} / v_{in})$ is $–12,$ the value of $R\: (\text{in}\: k\Omega)$ is _____.
In the circuit shown, assume that the opamp is ideal. If the gain $(v_{0} / v_{in})$ is $–12,$ the value of $R\: (\text{in}\: k\Omega)$ is _____.
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2346
GATE ECE 2015 Set 3 | Question: 41
In the circuit shown, assume that the diodes $D1$ and $D2$ are ideal. The average value of voltage $V_{ab}\: (\text{in Volts}),$ across terminals $‘a’$ and $‘b’$ is _________.
In the circuit shown, assume that the diodes $D1$ and $D2$ are ideal. The average value of voltage $V_{ab}\: (\text{in Volts}),$ across terminals $‘a’$ and $‘b’$ ...
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2352
GATE ECE 2015 Set 3 | Question: 47
For the system shown in the figure, $s=-2.75$ lies on the root locus if $K$ is _______.
For the system shown in the figure, $s=-2.75$ lies on the root locus if $K$ is _______.
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2353
GATE ECE 2015 Set 3 | Question: 48
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left half $s$-plane is _________.
The characteristic equation of an LTI system is given by $F(s) = s^{5} + 2s^{4} + 3s^{3} + 6s^{2} – 4s – 8 = 0.$ The number of roots that lie strictly in the left hal...
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2355
GATE ECE 2015 Set 3 | Question: 50
The variance of the random variable $X$ with probability density function $f(x)=\dfrac{1}{2}\mid x \mid e^{- \mid x \mid}$ is __________.
The variance of the random variable $X$ with probability density function $f(x)=\dfrac{1}{2}\mid x \mid e^{- \mid x \mid}$ is __________.
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2360
GATE ECE 2015 Set 3 | Question: 55
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 ratio of outer radius to inner radius is doubled, the capacitance per unit length $\text{(in}\: pF/m)$ is ________.
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 ratio of outer radius to inner radius is ...
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