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402
GATE2019 IN: 2
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightarrow{\bigtriangledown}$ x $\overrightarrow{A}$| is -1 0 1 $\infty$
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightar...
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403
GATE2019 IN: 3
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is 4/15 7/16 ½ 8/15
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and...
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404
GATE2019 IN: 4
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the ratio of the root mean-square (RMS) voltage across the resistor R in Figure (a) to that in figure (b) is $\sqrt{2}$: 1 2: 1 2$\sqrt{2}$ : 1 4:1
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the...
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405
GATE2019 IN: 5
The output y(t) of a system is related to its input x(t) as y(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function of the system is $\frac{1}{s}$ $\frac{(1-e^{-2s})}{s}$ $\frac {e^{-2s}}{s}$ $\frac{1}{s} – e^{-2s}$
The output y(t) of a system is related to its input x(t) asy(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function...
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406
GATE2019 IN: 6
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input Bounded-Output (BIBO) stable is |$\alpha$| < 1 |$\alpha$| = 1 |$\alpha$| > 1 |$\alpha$| < 3/2
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input...
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409
GATE2019 IN: 9
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would reduce by a factor $\sqrt{2}$ reduce by a factor 2 increase by a factor $\sqrt{2}$ increase by a factor 2
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit wouldreduce by a factor $\sqrt{2}$reduce ...
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411
GATE2019 IN: 11
The correct biasing conditions for typical operation of light emitting diodes, photodiodes, Zener diodes are, respectively forward bias, reverse bias, reverse bias reverse bias, reverse bias, forward bias forward bias, forward bias, reverse bias reverse bias, forward bias, reverse bias
The correct biasing conditions for typical operation of light emitting diodes, photodiodes, Zener diodes are, respectivelyforward bias, reverse bias, reverse biasreverse ...
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413
GATE2019 IN: 13
Thermocouples measure temperature based on Photoelectric effect Seebeck effect Hall effect Thermal expansion
Thermocouples measure temperature based on Photoelectric effectSeebeck effectHall effectThermal expansion
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414
GATE2019 IN: 14
Four strain gauges in a Wheatstone bridge configuration are connected to an instrumentation amplifier as shown in the figure. From the choices given below, the preferred value for the common mode rejection ratio(CMRR) of the amplifier, in dB, would be -20 0 3 100
Four strain gauges in a Wheatstone bridge configuration are connected to an instrumentation amplifier as shown in the figure. From the choices given below, the preferred ...
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415
GATE2019 IN: 15
In a single-mode optical fiber, the zero-dispersion wavelength refers to the wavelength at which the material dispersion is zero. waveguide dispersion is zero. sum of material dispersion and waveguide dispersion is zero. material dispersion and waveguide dispersion are simultaneously zero.
In a single-mode optical fiber, the zero-dispersion wavelength refers to the wavelength at which the material dispersion is zero.waveguide dispersion is zero.sum of mater...
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416
GATE2019 IN: 16
A 3 x 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is $\_\_\_\_$.
A 3 x 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is $\_\_\_\_$.
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417
GATE2019 IN: 17
In the circuit shown below, maximum power is transferred to the load resistance R${_L}$, when R${_L}$ = $\_\_\_\_$ $\Omega$.
In the circuit shown below, maximum power is transferred to the load resistance R${_L}$, when R${_L}$ = $\_\_\_\_$ $\Omega$.
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418
GATE2019 IN: 18
Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, and all source voltages are scaled up by a factor 10, the power dissipated in the circuit scles up by a factor of $\_\_\_\_\_\_$.
Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, an...
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419
GATE2019 IN: 19
In the circuit shown below, initially the switch S${_1}$ is open, then capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After s${_1}$ is closed, the charge on C2 in steady state is $\_\_\_\_\_$ coulomb.
In the circuit shown below, initially the switch S${_1}$ is open, then capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After s${_1}$ is closed...
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420
GATE2019 IN: 20
An 8-bit weighted resistor digital-to-analog converter(DAC) has the smallest resistance of 500 $\Omega$. The largest resistance has a value $\_\_\_\_$ k$\Omega$.
An 8-bit weighted resistor digital-to-analog converter(DAC) has the smallest resistance of 500 $\Omega$. The largest resistance has a value $\_\_\_\_$ k$\Omega$.
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421
GATE2019 IN: 21
The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.
The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.
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424
GATE2019 IN: 24
A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m$^{3}$. If the pressure differences measured by the tube is 200 N/m$^{2}$, the velocity of the fluid, assuming the pitot-tube coefficient to be 1.0, is $\_\_\_\_$m/s.
A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m$^{3}$. If the pressure differences measured by the tube is 200 N/m$^{2}$...
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426
GATE2019 IN: 26
The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional to x$^{-1}$ x$^{2}$ x$^{3}$ x$^{4}$
The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional tox$^{-1}$x$^{2}$x$^{3}...
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432
GATE2019 IN: 32
In the control system shown in the figure below, a reference signal $r(t)=t^2$ is applied at time $t=0$. The control system employs a $PID$ controller $C(s)=K_p+K_1/s+K_Ds$ and the plant has a transfer function $P(s)=3/s.$ If $K_p=10,K_1=1 and K_D=2$, the steady state value of $e$ is $0$ $2/3$ $1$ $\infty$
In the control system shown in the figure below, a reference signal $r(t)=t^2$ is applied at time $t=0$. The control system employs a $PID$ controller $C(s)=K_p+K_1/s+K_D...
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434
GATE2019 IN: 34
In the circuit shown below, assume that the comparators are ideal and all components have zero propagation delay. In one period of the input signal $V_{in}=6 \sin(\omega t)$, the fraction of the time for which the output $OUT$ is in logic state $HIGH$ is $1/12$ $1/2$ $2/3$ $5/6$
In the circuit shown below, assume that the comparators are ideal and all components have zero propagation delay. In one period of the input signal $V_{in}=6 \sin(\omega ...
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