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401
GATE2019 IN: 10
In the circuit shown below, the input voltage V${_i}{_n}$ is positive. The current (I) – voltage(V) characteristics of the diode can be assumed to be I = I${_0}$e$^{v/vr}$ under the forward bias condition, where V${_T}$ is the thermal voltage and I${_0}$ is the reverse saturation current. Assuming an ideal op-amp, the output voltage v${_o}{_u}{_t}$ of the circuit is proportional to log${_e}$(V${_i}{_n}/V{_T}$) 2V${_i}{_n}$ e$^{V}{_i}{_n}/^{V}{T}$ V$^{2}{_i}{_n}$
In the circuit shown below, the input voltage V${_i}{_n}$ is positive. The current (I) – voltage(V) characteristics of the diode can be assumed to be I = I${_0}$e$^{v/v...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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402
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 ...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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403
GATE2019 IN: 12
The circuit shown in the figure below uses ideal positive edge-triggered synchronous J-K flip flops with outputs X and Y. If the initial state of the output is X =0 and Y =0 just before the arrival of the first clock pulse, the state of the output just before the arrival of the second clock pulse is X=0, Y=0 X=0, Y=1 X=1, Y=0 X=1, Y=1
The circuit shown in the figure below uses ideal positive edge-triggered synchronous J-K flip flops with outputs X and Y. If the initial state of the output is X =0 and Y...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Digital Electronics
gate2019-in
digital-electronics
sequential-circuit
counters
synchronous-counter
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0
answers
404
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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2.9k
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Arjun
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Feb 10, 2019
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405
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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406
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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2.9k
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407
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 $\_\_\_\_$.
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Linear Algebra
gate2019-in
numerical-answers
linear-algebra
matrices
eigen-values
determinant
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408
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${_L}$ = $\_\_\_\_$ $\Omega$.
Arjun
2.9k
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Arjun
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gate2019-in
numerical-answers
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409
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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Arjun
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numerical-answers
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410
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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2.9k
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numerical-answers
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411
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$\Omega$.
Arjun
2.9k
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Arjun
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Feb 10, 2019
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gate2019-in
numerical-answers
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412
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 $\_\_\_\_$.
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Digital Electronics
gate2019-in
numerical-answers
digital-electronics
boolean-algebra
boolean-functions
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413
GATE2019 IN: 22
The figure below shows the i $^{th}$ full-adder block of a binary adder circuit. C${_i}$ is the input carry and C${_i}{_+}{_1}$ is the output carry of the circuit. Assume that each logic gate has a delay of 2 nanosecond, with no additional time delay due to the interconnecting wires. If the inputs A${_i}$,B${_i}$ are ... stable throughout the carry propogation, the maximum time taken for an input C${_i}$ to produce a steady-state output C${_i}{_+}{_1}$ is $\_\_\_\_$ nanosecond.
The figure below shows the i $^{th}$ full-adder block of a binary adder circuit. C${_i}$ is the input carry and C${_i}{_+}{_1}$ is the output carry of the circuit. Assume...
Arjun
2.9k
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Arjun
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Feb 10, 2019
Digital Electronics
gate2019-in
numerical-answers
digital-electronics
combinational-circuits
binary-adder
full-adder
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414
GATE2019 IN: 23
The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.12 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that the errors in voltage and current measurements are independent, the standard deviation of the calculated resistance value is $\_\_\_\_$ $\Omega$.
The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.12 V while curren...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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numerical-answers
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415
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$^{2}$...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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numerical-answers
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416
GATE2019 IN: 25
A signal cos(2$\pi$f${_m}$t) modulates a carrier cos(2$\pi$f${_c}$t) using the double -sideband-with-carrier (DSDWC) scheme to yield a modulated signal cos(2$\pi$f${_c}$t) + 0.3 cos(2$\pi$f${_m}$t) cos2$\pi$f${_c}$t. The modulation index is $\_\_\_\_\_$ .(Answer should br rounded off to one decimal place)
A signal cos(2$\pi$f${_m}$t) modulates a carrier cos(2$\pi$f${_c}$t) using the double -sideband-with-carrier (DSDWC) scheme to yield a modulated signal cos(2$\pi$f${_c}$t...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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numerical-answers
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417
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$^{3}...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Calculus
gate2019-in
calculus
functions
curves
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418
GATE2019 IN: 27
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ > 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a probability density function, the value of A should be equal to $\mu$ – 1 $\mu$ + 1 1/($\mu$ – 1) 1/($\mu$ +1)
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a ...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Probability and Statistics
gate2019-in
probability-and-statistics
probability
probability-density-function
mean
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419
GATE2019 IN: 28
The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = $\begin{bmatrix}1 & 2 \\-3 & -4\end{bmatrix}$\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ + $ ... is $\begin{bmatrix}-30 \\-40\end{bmatrix}$ $\begin{bmatrix}-20 \\-10\end{bmatrix}$ $\begin{bmatrix}5\\-15\end{bmatrix}$ $\begin{bmatrix}50 \\-35\end{bmatrix}$
The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = ...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Differential equations
gate2019-in
differential-equations
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420
GATE2019 IN: 29
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i = $\sqrt{-1}$. The function f is then given by f(z) = x + i y f(z) = x$^{2}$ – y$^{2}$ + i 2xy f(z) = constant f(z) = x$^{2}$ + y$^{2}$
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i =...
Arjun
2.9k
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Arjun
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Feb 10, 2019
Analysis of complex variables
gate2019-in
analysis-of-complex-variables
complex-conjugate
complex-function
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421
GATE2019 IN: 30
In a control system with unity gain feedback, the plant has the transfer function P(s) = 3/s. Assuming that a controller of the form C(s) = K/(s + p) is used, where K is a positive constant, the value of p for which the root-locus of the closed-loop system passes through the points -3$\pm$j3$\sqrt{3}$ where j = $\sqrt{-1}$, is 3 3$\sqrt{3}$ 6 9
In a control system with unity gain feedback, the plant has the transfer function P(s) = 3/s. Assuming that a controller of the form C(s) = K/(s + p) is used, where K is ...
Arjun
2.9k
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Arjun
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Feb 10, 2019
Others
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422
GATE2019 IN: 31
The forward path transfer function L(s) of the control system shown in Figure(a) has the asymptotic Bode plot shown in Figure (b). If the disturbance d(t) is given by d(t) = 0.1 sin($\omega$t) where $\omega$ = 5 rad/s, the steady-state amplitude of the output y(t) is 1.00x10$^{-3}$ 2.50x10$^{-3}$ 5.00x10$^{-3}$ 10.00x10$^{-3}$
The forward path transfer function L(s) of the control system shown in Figure(a) has the asymptotic Bode plot shown in Figure (b). If the disturbance d(t) is given by d(t...
Arjun
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Arjun
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423
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...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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424
GATE2019 IN: 33
A voltage amplifier is constructed using enhancement mode $MOSFETs$ labeled $M_1,M_2,M_3$ and $M_4$ in the figure below. $M_1,M_2$ and $M_4$ are n-channel MOSFETs and $M_3$ is a p-channel $MOSFET$. All $MOSFETs$ operate in saturation mode and channel length modulation can be ignored. The low frequency, small signal input and ooutput voltages are $v_{in}$ and $V_{out}$ respectively ... $-g_{mn}/g_{mp}$ $-g_{mn}(g_{mn}+g_{mp})^{-1}$ $+g_{mn}/g_{mp}$ $g_{mn}(g_{mn}+g_{mp})^{-1}$
A voltage amplifier is constructed using enhancement mode $MOSFETs$ labeled $M_1,M_2,M_3$ and $M_4$ in the figure below. $M_1,M_2$ and $M_4$ are n-channel MOSFETs and $M_...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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gate2019-in
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425
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 ...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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426
GATE2019 IN: 35
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is $X_1Y_1+X_0Y_0$ $X_1\overline Y_1+X_0\overline Y_0\overline Y_1+X_0\overline Y_0 X_1$ $X_1\overline Y_1X_0Y_0$ $X_1Y_1+X_0\overline Y_0Y_1+X_0\overline Y_0\overline X_1$
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is$X_1Y_1+X_...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Digital Electronics
gate2019-in
digital-electronics
boolean-algebra
boolean-functions
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0
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427
GATE2019 IN: 36
In the circuit below, the light dependent resistor $(LDR)$ receives light from the $LED$. The $LDR$ has resistances of $5\;k\Omega$ and $500\;\Omega$ under dark and illuminated conditions,respectively. The $LED$ is $OFF$ at time $t<0$. At time $t=0s$, the switch $S_1$ is closed for $1\;ms$ and then kept open ... $ON$ to $OFF$ after $S_1$ is opened remains $OFF$ when $S_1$ is closed and continues to remain $OFF$ after $S_1$ is opened
In the circuit below, the light dependent resistor $(LDR)$ receives light from the $LED$. The $LDR$ has resistances of $5\;k\Omega$ and $500\;\Omega$ under dark and illum...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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428
GATE2019 IN: 37
A differential capacitive sensor with a distance between the extreme plates $100\;mm$ is shown in figure below. The difference voltage $\Delta V=V_1-V_2,$ where $V_1$ and $V_2$ are the rms values, for a downward displacement of $10\;mm$ of the intermediate plate from the central position, in volts, is __________. $0.9$ $1.0$ $1.1$ $2$
A differential capacitive sensor with a distance between the extreme plates $100\;mm$ is shown in figure below. The difference voltage $\Delta V=V_1-V_2,$ where $V_1$ and...
Arjun
2.9k
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Feb 10, 2019
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429
GATE2019 IN: 38
A piezoelectric transducer with sensitivity of 30 m V/kPa is intended to be used in the range of 0 kPa to 100 kPa. The readout circuit has a peak noise amplitude of 0.3 m V and measured signals over the full pressure range are encoded with 10 bits. the smallest pressure that produces a non-zero output, in units of Pa, is approximately 10 100 240 300
A piezoelectric transducer with sensitivity of 30 m V/kPa is intended to be used in the range of 0 kPa to 100 kPa. The readout circuit has a peak noise amplitude of 0.3 m...
Arjun
2.9k
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430
GATE2019 IN: 39
A 100 W light source emits uniformly in all directions. A photodetector having a circular active area whose diameter is 2 cm is placed 1 m away from the source, normal to the incident light. If the responsivity of the photodetector is 0.4 A/W, the photo-current generated in the detector, in units of mA, is 1 4 100 400
A 100 W light source emits uniformly in all directions. A photodetector having a circular active area whose diameter is 2 cm is placed 1 m away from the source, normal to...
Arjun
2.9k
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Arjun
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431
GATE2019 IN: 40
A resistance-meter has five measurement range-settings between 200 $\Omega$ and 2 M$\Omega$ in multiples of 10. The meter measures resistance of a device by measuring a full-range voltage of 2 V across the device by passing an appropriate constant current for each range-setting. If a device having a resistance value in the range ... to be measured safely with this meter, the choice for range-setting on the meter for best resolution in measurement, in k$\Omega$, is 2 20 200 2000
A resistance-meter has five measurement range-settings between 200 $\Omega$ and 2 M$\Omega$ in multiples of 10. The meter measures resistance of a device by measuring a f...
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432
GATE2019 IN: 41
A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse duration, in watts, is 1 10 100 1000
A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse dur...
Arjun
2.9k
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433
GATE2019 IN: 42
Four identical resistive strain gauge factor of 2.0 used in a wheatstone bridge as shown in the figure below. Only one of the strain gauges R${_S}{_E}{_N}{_S}{_E}$ changes its resistance due to strain. If the output voltage V${_O}{_U}{_T}$ is measured to be1 m V, the measured of strain, in units of microstrain, is $1$ $10$ $100$ $1000$
Four identical resistive strain gauge factor of 2.0 used in a wheatstone bridge as shown in the figure below. Only one of the strain gauges R${_S}{_E}{_...
Arjun
2.9k
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434
GATE2019 IN: 43
The frequency response of a digital filter H($\omega$) has the following characteristics Passband: 0.95$\le$|H($\omega$|$\le$1.05 for 0$\le$\omega$\le$0.3$\pi$ and Stopband: 0$\le$|H($\omega$)|$\le$0.005 for 0.4$\pi$\le$\omega$\le$\pi$, where $\omega$ is the normalized angular frequency in rad/sample.. If the analog upper cut off frequency for the passband of the above digital filter is to be 1.2 kHz, then the sampling frequency should be $\_\_\_\_\_$ kHz.
The frequency response of a digital filter H($\omega$) has the following characteristicsPassband: 0.95$\le$|H($\omega$|$\le$1.05 for 0$\le$$\omega$$\le$0.3$\pi$ andStopba...
Arjun
2.9k
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Arjun
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numerical-answers
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435
GATE2019 IN: 44
In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time t = 0. If the capacitor has no charge for t $\leq$ 0, the voltage at node P at t=6 ${\mu}$s is $\_\_\_\_$ V.(Answer should be rounded off to two decimal places)
In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time t = 0. If the capacitor has no charge for t $\leq$ 0, the voltage at node P...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
numerical-answers
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436
GATE2019 IN: 45
In the circuit shown below, the angular frequency $\omega$ at which the current is in phase with the voltage is $\_\_\_\_\_\_$ rad/s.
In the circuit shown below, the angular frequency $\omega$ at which the current is in phase with the voltage is $\_\_\_\_\_\_$ rad/s.
Arjun
2.9k
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Arjun
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numerical-answers
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437
GATE2019 IN: 46
The transfer function relating the input x(t) to the output y(t) of a system is given by G(s) = 1/(s + 3). A unit-step input is applied to the system at time t = 0. Assuming that y(0) = 3, the value of y(t) at time t = 1 is $\_\_\_\_$ (Answer should be rounded off to two decimal places)
The transfer function relating the input x(t) to the output y(t) of a system is given by G(s) = 1/(s + 3). A unit-step input is applied to the system at time t = 0. Assum...
Arjun
2.9k
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Arjun
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Feb 10, 2019
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numerical-answers
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438
GATE2019 IN: 47
The output of a continuous-time system y(t) is related to its input x(t) as y(t) = x(t) + $\frac{1}{2}$x(t-1). If the Fourier transforms of x(t) and y(t) are x($\omega$) and y($\omega$) respectively. and |x(0)|$^2$ = 4, the value of |y(0)|$^2$ is $\_\_\_\_$
The output of a continuous-time system y(t) is related to its input x(t) as y(t) = x(t) + $\frac{1}{2}$x(t-1). If the Fourier transforms of x(t) and y(t) are x($\omega$) ...
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numerical-answers
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GATE2019 IN: 48
A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ + e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that x${_d}[n]$ = x[4n]. The fundamental period of the down-sampled signal x${_d}[n]$ is $\_\_\_\_\_\_$.
A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ + e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that x${_d}[n]$ = x[4n]. The fundamental...
Arjun
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Arjun
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GATE2019 IN: 49
In a control system with unity gain feedback, the transfer function of the loop-gain function is L(S) = 9e$^{-0.1s}$/S. The phase margin of the loop-gain function L(S) is ${\_\_\_\_}$ degree
In a control system with unity gain feedback, the transfer function of the loop-gain function is L(S) = 9e$^{-0.1s}$/S. The phase margin of the loop-gain function L(S) is...
Arjun
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Arjun
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