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801
GATE2018IN: 35
For the sequence $x[n] = \{1, -1,1, -1\},$ with $n = 0,1,2,3,$ the DFT is computed as $X(k) = \displaystyle{}\Sigma^3_{n=0}x[n]e^{-j\frac {2\pi}{4}nk}$, for $k = 0,1,2,3.$ The value of k for which $X(k)$ is not zero is 0 1 2 3
For the sequence $x[n] = \{1, -1,1, -1\},$ with $n = 0,1,2,3,$ the DFT is computed as $X(k) = \displaystyle{}\Sigma^3_{n=0}x[n]e^{-j\frac {2\pi}{4}nk}$, for $k = 0,1,2,3....
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802
GATE2018IN: 34
Let y[n] = x[n] * h[n], where * denotes convolution and x[n] and h[n] are two discrete time sequences, Given that the z-transform of y[n] is y(z) = 2+ 3z$^{-1}$ + z$^{-2}$, the z- transform of p[n] = x[n] * h [n-2] is 2 + 3z + z$^{-2}$ 3z +z$^{-2}$ 2z$^2$ + 3z + 1 2z$^{-2}$ + 3z$^{-3}$ + z$^{-4}$
Let y[n] = x[n] * h[n], where * denotes convolution and x[n] and h[n] are two discrete time sequences, Given that the z-transform of y[n] is y(z) = 2+ 3z$^{-1}$ + z$^{-2}...
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805
GATE2018IN: 31
In the figure, an RLC load supplied by a 230 V, 50 Hz single phase source. The magnitude of the reactive power (in VAr) supplied by the source is $\_\_\_\_\_$.
In the figure, an RLC load supplied by a 230 V, 50 Hz single phase source. The magnitude of the reactive power (in VAr) supplied by the source is $\_\_\_\_\_$.
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806
GATE2018IN:30
In the given circuit, superposition is applied.When V$_2$ is set to 0 V, the current I$_2$ is -6 A. When V$_1$ is set to 0 v, the current I$_1$ is + 6A. Current I$_3$ (in A) when both sources are applied will be (up to two decimal places)$\_\_\_\_\_$.
In the given circuit, superposition is applied.When V$_2$ is set to 0 V, the current I$_2$ is -6 A. When V$_1$ is set to 0 v, the current I$_1$ is + 6A. Current I$_3$ (in...
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810
GATE2018IN: 26
Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$\overrightarrow{k}$, the value of the linear integral $\int_c$\overrightarrow{F}$ . d$\overrightarrow{l}$ along the straight line c from (0,0,0) to (1,1,1) is 3/16 0 -5/12 -1
Given $\overrightarrow{F}$ = (x$^2$ – 2y) $\overrightarrow{i}$ – 4xz$\overrightarrow{j}$ + 4xz$^2$$\overrightarrow{k}$, the value of the linear integral $\int_c$$\ove...
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811
GATE2018IN: 25
An optical pulse containing 6 x 10$^6$ photons is incident on a photodiode and 4.5 x 10$^6$ electron-hole pairs are created. The maximum possible quantum efficiency (in %) of the photodiode is $\_\_\_\_$.
An optical pulse containing 6 x 10$^6$ photons is incident on a photodiode and 4.5 x 10$^6$ electron-hole pairs are created. The maximum possible quantum efficiency (in %...
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812
GATE2018IN: 24
An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$
An amplitude modulated signal is shown in the figure. The modulation index is(up to one decimal place) $\_\_\_\_\_$
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813
GATE2018IN: 23
A piezoelectric pressure sensor has a bandpass characteristic with cut-off frequencies of 0.1 Hz and 1 MHz, and a sensitivity of 100 mV/kPa. The sensor is subjected to a static constant pressure of 100kpa. Its steady-state output will be 0 V 0.1 V 1 V 10 V
A piezoelectric pressure sensor has a bandpass characteristic with cut-off frequencies of 0.1 Hz and 1 MHz, and a sensitivity of 100 mV/kPa. The sensor is subjected to a ...
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814
GATE2018IN: 22
As shown in the figure, temperature $\theta$ is measured using a $K$ type thermocouple. It has a sensitivity of 40 $\mu V/^{\circ}C$. The gain $(G)$ of the ideal instrumentations amplifier is $25$. If the output $V_0$ is $96 \;mV,$ then the value of $\theta$(in $^{\circ}$C) is ______________.
As shown in the figure, temperature $\theta$ is measured using a $K$ type thermocouple. It has a sensitivity of 40 $\mu V/^{\circ}C$. The gain $(G)$ of the ideal instrume...
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815
GATE2018IN: 21
A 300 V, 5A, 0.2 pf low power factor wattmeter is used to measure the power consumed by a load. The wattmeter scale has 150 divisions and the pointer is on the 100$^{th}$ division. The power consumed by the load (in Watts) is $\_\_\_\_\_$
A 300 V, 5A, 0.2 pf low power factor wattmeter is used to measure the power consumed by a load. The wattmeter scale has 150 divisions and the pointer is on the 100$^{th}$...
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816
GATE2018IN: 20
A voltage of 6 cos(100$\pi$t) V is fed as y-input to a CRO. The waveform seen on the screen of the CRO is shown in the figure. The Y and X axes settings for the CRO are respectively 1 V/div and 1 ms/div 1 V/div and 2 ms/div 2 V/div and 1 ms/div 2 V/div and 2 ms/div
A voltage of 6 cos(100$\pi$t) V is fed as y-input to a CRO. The waveform seen on the screen of the CRO is shown in the figure. The Y and X axes settings for the CRO are r...
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817
GATE2018IN:19
The number of comparators required for implementing an 8-bit flash analog-to-digital converter is 8 128 255 256
The number of comparators required for implementing an 8-bit flash analog-to-digital converter is8128255256
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818
GATE2018IN: 18
The representation of the decimal number (27.625)$_{10}$ in base -2 number system is 11011.110 11101.101 11011.101 10111.110
The representation of the decimal number (27.625)$_{10}$ in base -2 number system is11011.11011101.10111011.10110111.110
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820
GATE2018IN: 16
The diodes given in the circuit are ideal. At t = 60ms, V$_{pq}$(in Volts) is $\_\_\_\_\_\_\_$
The diodes given in the circuit are ideal. At t = 60ms, V$_{pq}$(in Volts) is $\_\_\_\_\_\_\_$
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821
GATE2018IN: 15
In the given circuit, assume that the opamp is ideal and the transistor has a $\beta$ of 20. The current I${_0}$( in $\mu A$) flowing through the load Z${_L}$ is $\_\_\_\_\_\_$.
In the given circuit, assume that the opamp is ideal and the transistor has a $\beta$ of 20. The current I${_0}$( in $\mu A$) flowing through the load Z${_L}$ is $\_\_\_...
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1 answer
822
GATE2018IN: 14
Consider the transfer function G(s) = $\frac{2}{(s+1)(s+2)}$. The phase margin of G(s) in degrees is $\_\_\_\_\_$
Consider the transfer function G(s) = $\frac{2}{(s+1)(s+2)}$. The phase margin of G(s) in degrees is $\_\_\_\_\_$
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823
GATE2018IN: 13
The approximate phase response of $\frac{100^2e^-0.01s}{s^2+0.2s+100^2}$ is
The approximate phase response of $\frac{100^2e^-0.01s}{s^2+0.2s+100^2}$ is
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824
GATE2018IN: 12
An input p(t) = sin(t) is applied to the system G(s) = $\frac{s-1}{s+1}$. The corresponding steady state output is y(t) = sin(t + $\varphi$), where the phase $\varphi$ (in degrees), when restricted to 0$^o$ $\leq$ $\varphi$ $\leq$ 360$^o$, is $\_\_\_\_\_\_$
An input p(t) = sin(t) is applied to the system G(s) = $\frac{s-1}{s+1}$. The corresponding steady state output is y(t) = sin(t + $\varphi$), where the phase $\varphi$ (i...
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826
GATE2018IN: 10
Consider signal x(t) = . Let $\delta$(t) denote the unit impulse (Dirac-delta) function. The value of the integral $ \int^5_0$ 2x(t- 3)$\delta$(t-4)dt is 2 1 0 3
Consider signal x(t) = . Let $\delta$(t) denote the unit impulse (Dirac-delta) function. The value of the integral $ \int^5_0$ 2x(t- 3)$\delta$(t-4)dt is 2103
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827
GATE2018IN: 9
Two periodic signals x(t) and y(t) have the same fundamental period of 3 seconds. Consider the signal z(t) = x(-t) + y(2t + 1). The fundamental period of z(t) in seconds is 1 1.5 2 3
Two periodic signals x(t) and y(t) have the same fundamental period of 3 seconds. Consider the signal z(t) = x(-t) + y(2t + 1). The fundamental period of z(t) in seconds ...
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830
GATE2018IN: 6
A series R-C circuit is excited by a 1 <0 V sinusoidal ac voltage source. The locus diagram of the phasor current L = (x + jy)A, when C is varied, while keeping R fixed, is
A series R-C circuit is excited by a 1 <0 V sinusoidal ac voltage source. The locus diagram of the phasor current L = (x + jy)A, when C is varied, while keeping R fixed, ...
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832
GATE2018IN: 4
Consider two functions f(x) = (x – 2)$^2$ and g(x) = 2x – 1, where x is real. The smallest value of x for which f(x) = g(x) is $\_\_\_\_\_\_$
Consider two functions f(x) = (x – 2)$^2$ and g(x) = 2x – 1, where x is real. The smallest value of x for which f(x) = g(x) is $\_\_\_\_\_\_$
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833
GATE2018IN: 3
X and Y are two independent random variables with variances 1 and 2, respectively. Let Z = X – Y. The variance of Z is 0 1 2 3
X and Y are two independent random variables with variances 1 and 2, respectively. Let Z = X – Y. The variance of Z is0123
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835
GATE2018IN: 1
Let N be a 3 by 3 matrix with real numbers entries. The matrix N is such that N$^2$ = 0. The eigen values of N are 0, 0, 0 0,0,1 0,1,1 1,1,1
Let N be a 3 by 3 matrix with real numbers entries. The matrix N is such that N$^2$ = 0. The eigen values of N are 0, 0, 00,0,10,1,11,1,1
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837
GATE2018-GA-9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$?$1$$5$$7$$9$
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839
GATE2018-GA-7
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed? $20$ $48$ $60$ $72$
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed?$20$$48$$60$$72$
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