Recent activity by soujanyareddy13 / GO Instrumentation

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GATE2018-GA-1
"When she fell down the ________ , she received many _________ but little help." The words that best fill the blanks in the above sentence are stairs, stares stairs, stairs stares, stairs stares, stares

"When she fell down the ________ , she received many _________ but little help."The words that best fill the blanks in the above sentence arestairs, staresstairs, stairss...

edited Mar 20, 2021

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GATE IN 2021 | Question: 53
For the full bridge made of linear strain gages with gage factor $2$ as shown in the diagram, $R_{1}=R_{2}=R_{3}=R_{4}=100 \:\Omega$ at $0^{\circ}C$ and strain is $0$. The temperature coefficient of resistance of the strain gages used is $0.005\: per\: ^{\circ}C$. All strain gages are made of ... temperature. While measuring a strain of $0.01$ at a temperature of $50^{\circ}C$, the output $V_{O}$ in millivolt is _______________ (rounded off to two decimal places).

For the full bridge made of linear strain gages with gage factor $2$ as shown in the diagram, $R_{1}=R_{2}=R_{3}=R_{4}=100 \:\Omega$ at $0^{\circ}C$ and strain is $0$. Th...

edited Mar 7, 2021

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GATE IN 2021 | Question: 15
The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is ______________.

The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is __________...

edited Mar 7, 2021

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GATE IN 2021 | Question: 14
The diode used in the circuit has a fixed voltage drop of $\text{0.6 V}$ when forward biased. A signal $v_{s}$ is given to the ideal $\text{OpAmp}$ as shown. When $v_{s}$ is at its positive peak, the output $(v_{OA})$ of the $\text{OpAmp}$ in volts is ___________.

The diode used in the circuit has a fixed voltage drop of $\text{0.6 V}$ when forward biased. A signal $v_{s}$ is given to the ideal $\text{OpAmp}$ as shown. When $v_{s}$...

edited Mar 7, 2021

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GATE IN 2021 | Question: 4
The input-output relationship of an $\text{LTI}$ system is given below. For an input $x\left [ n \right ]$ shown below the peak value of the output when $x\left [ n \right ]$ passes through $\text{h}$ is _____________. $2$ $4$ $5$ $6$

The input-output relationship of an $\text{LTI}$ system is given below.For an input $x\left [ n \right ]$ shown belowthe peak value of the output when $x\left [ n \right ...

edited Mar 7, 2021

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GATE IN 2021 | Question: 55
In the figure shown, a large multimode fiber with $n_{\text{core}}=1.5$ and $n_{\text{clad}}=1.2$ is used for sensing. A portion with the cladding removed passes through a liquid with refractive index $n_{\text{liquid}}$. An $\text{LED}$ is used to illuminate the fiber from one end and a paper is placed on ... . The paper shows a spot with radius $\text{1 cm}$. The refractive index $n_{\text{liquid}}$ of the liquid (rounded off to two decimal places) is ______________.

In the figure shown, a large multimode fiber with $n_{\text{core}}=1.5$ and $n_{\text{clad}}=1.2$ is used for sensing. A portion with the cladding removed passes through ...

edited Mar 7, 2021

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GATE IN 2021 | Question: 52
In the bridge circuit shown, the voltmeter $\text{V}$ showed zero when the value of the resistors are: $R_{1}=100\:\Omega$, $R_{2}=110\:\Omega$, and $R_{3}=90\:\Omega$. If $\left ( R_{1}/R_{2} \right )=\left ( R_{A}/R_{B} \right )$, the value of $R_{4}$ is ohm is ________.

In the bridge circuit shown, the voltmeter $\text{V}$ showed zero when the value of the resistors are: $R_{1}=100\:\Omega$, $R_{2}=110\:\Omega$, and $R_{3}=90\:\Omega$. I...

edited Mar 7, 2021

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GATE IN 2021 | Question: 49
The power in a $\text{400 V}$ ($\text{rms}$, line-line) three-phase, three-wire $\text{RYB}$ sequence system is measured using the two wattmetters, as shown. The $\text{R}$-line current is $5\angle 60^\circ \:A$. Wattmeter $W_{1}$ in the $\text{R}$-line will read (in watt) ____________.

The power in a $\text{400 V}$ ($\text{rms}$, line-line) three-phase, three-wire $\text{RYB}$ sequence system is measured using the two wattmetters, as shown. The $\text{R...

edited Mar 7, 2021

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GATE IN 2021 | Question: 48
All the transistors used in the circuit are matched and have a current gain $\beta$ of $20$. Neglecting the Early effect, the current $I_{O4}$ in milliamphere is ____________.

All the transistors used in the circuit are matched and have a current gain $\beta$ of $20$. Neglecting the Early effect, the current $I_{O4}$ in milliamphere is ________...

edited Mar 7, 2021

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GATE IN 2021 | Question: 47
The circuit shown below uses an ideal $\text{OpAmp}$. Output $V_{O}$ in volt is ____________ (rounded off to one decimal place).

The circuit shown below uses an ideal $\text{OpAmp}$. Output $V_{O}$ in volt is ____________ (rounded off to one decimal place).

edited Mar 7, 2021

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GATE IN 2021 | Question: 44
The input signal shown below is passed through the filter with the following taps The number of non-zero output samples is ________________.

The input signal shown belowis passed through the filter with the following tapsThe number of non-zero output samples is ________________.

edited Mar 7, 2021

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GATE IN 2021 | Question: 39
The figure below shows an electrically conductive bar of square cross-section resting on a plane surface. The bar of mass of $\text{1 kg}$ has a depth of $\text{0.5 m}$ along the $\text{y}$ direction. The coefficient of friction between the bar and the surface is $0.1$. Assume the acceleration due to gravity to be ... onto the bar and is maintained. When the bar has moved by $\text{1 m}$, its speed in metre per second is ___________ (rounded off to one decimal place).

The figure below shows an electrically conductive bar of square cross-section resting on a plane surface. The bar of mass of $\text{1 kg}$ has a depth of $\text{0.5 m}$ a...

edited Mar 7, 2021

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GATE IN 2021 | Question: 34
A laser pulse is sent from ground level to the bottom of a concrete water tank at normal incidence. The tank is filled with water up to $\text{2 m}$ below the ground level. The reflected pulse from the bottom of the tank travels back and hits the detector. The round-trip time elapsed between sending the laser pulse, the pulse hitting the bottom of the tank ... $n_{\text{water}}=1.3$ and velocity of light in air $c_{\text{air}}=3 \times 10^{8}\: m/s$) $9$ $10$ $11$ $12$

A laser pulse is sent from ground level to the bottom of a concrete water tank at normal incidence. The tank is filled with water up to $\text{2 m}$ below the ground leve...

edited Mar 7, 2021

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GATE IN 2021 | Question: 33
A $\text{J}$-type thermocouple has an output voltage $V_{\theta }=\left ( 13650+50\: \theta _{x} \right ) \mu \;V$, where $\theta _{x}$ is the junction temperature in Celsius ($^{\circ}C$ ... $V_{o}$ of the instrumentation amplifier in millivolt is $\text{98 mV}$ $\text{99 mV}$ $\text{100 mV}$ $\text{101 mV}$

A $\text{J}$-type thermocouple has an output voltage $V_{\theta }=\left ( 13650+50\: \theta _{x} \right ) \mu \;V$, where $\theta _{x}$ is the junction temperature in Cel...

edited Mar 7, 2021

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GATE IN 2021 | Question: 30
The output $V_{o}$ of the ideal $\text{OpAmP}$ used in the circuit shown below is $\text{5 V}$. Then the value of resistor $R_{L}$ in kilo ohm $(k \Omega)$ is $2.5$ $5$ $25$ $50$

The output $V_{o}$ of the ideal $\text{OpAmP}$ used in the circuit shown below is $\text{5 V}$. Then the value of resistor $R_{L}$ in kilo ohm $(k \Omega)$ is$2.5$$5$$25$...

edited Mar 7, 2021

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GATE IN 2021 | Question: 29
Consider a unity feedback configuration with a plant a $\text{PID}$ controller as shown in the figure. $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+3 \right )}$ and $C(s)=K\dfrac{\left ( s+3-j \right )\left ( s+3+j \right )}{s}$with $\text{K}$ being scalar. The closed loop is only stable for $K>0$ only stable for $\text{K}$ between $-1$ and $+1$ only stable for $K<0$ stable for all values of $\text{K}$

Consider a unity feedback configuration with a plant a $\text{PID}$ controller as shown in the figure. $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+3 \rig...

edited Mar 7, 2021

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GATE IN 2021 | Question: 54
A signal having a bandwidth of $\text{5 MHz}$ is transmitted using the Pulse code modulation $\text{(PCM)}$ scheme as follows. The signal is sampled at a rate of $50\%$ above the Nyquist rate and quantized into $256$ levels. The binary pulse rate of the $\text{PCM}$ signal is $\text{M}$bits per second is __________.

A signal having a bandwidth of $\text{5 MHz}$ is transmitted using the Pulse code modulation $\text{(PCM)}$ scheme as follows. The signal is sampled at a rate of $50\%$ a...

edited Mar 5, 2021

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GATE IN 2021 | Question: 51
A bar primary current transformer of rating $\text{1000/1 A}$, $\text{5VA}$, $\text{UPF}$ has $995$ secondary turns. It exhibits zero ratio error and phase of $30$ minutes at $\text{1000 A}$ with rated burden. The watt loss component of the primary excitation current in ampere is _______________ (rounded off to one decimal place).

A bar primary current transformer of rating $\text{1000/1 A}$, $\text{5VA}$, $\text{UPF}$ has $995$ secondary turns. It exhibits zero ratio error and phase of $30$ minute...

edited Mar 5, 2021

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GATE IN 2021 | Question: 50
A $3$ $^1/_2$ digit, rectifier type digital meter is set to read in its $\text{2000 V}$ range. A symmetrical square wave of frequency $\text{50 Hz}$ and amplitude $\pm 100 \:V$ is measured using the meter. The meter will read ___________.

A $3$ $^1/_2$ digit, rectifier type digital meter is set to read in its $\text{2000 V}$ range. A symmetrical square wave of frequency $\text{50 Hz}$ and amplitude $\pm 10...

edited Mar 5, 2021

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GATE IN 2021 | Question: 46
Consider a system with transfer-function $G\left ( s \right )=\dfrac{2}{s+1}$. A unit step function $\mu \left ( t \right )$ is applied to the system, which results in an output $y\left ( t \right )$. If $e\left ( t \right )=y\left ( t \right )-\mu \left ( t \right ),$ then $ \lim\limits_{t\rightarrow \infty }e\left ( t \right )$ is ___________________.

Consider a system with transfer-function $G\left ( s \right )=\dfrac{2}{s+1}$. A unit step function $\mu \left ( t \right )$ is applied to the system, which results in an...

edited Mar 5, 2021

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GATE IN 2021 | Question: 45
A sinusoid $\left ( \sqrt{2} \sin t \right ) \: \mu \left ( t \right )$, where $\mu \left ( t \right )$ is the step input, is applied to a system with transfer-function $G\left ( s \right )=\dfrac{1}{s+1}$. The amplitude of the steady state output is __________.

A sinusoid $\left ( \sqrt{2} \sin t \right ) \: \mu \left ( t \right )$, where $\mu \left ( t \right )$ is the step input, is applied to a system with transfer-function $...

edited Mar 5, 2021

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GATE IN 2021 | Question: 43
Given $y\left ( t \right )=e^{-3t}u\left ( t \right )\ast u\left ( t+3 \right )$, where $\ast$ denotes convolution operation. The value of $y\left ( t \right )$ as $t\rightarrow \infty$ is ___________________ (rounded off to two decimal places).

Given $y\left ( t \right )=e^{-3t}u\left ( t \right )\ast u\left ( t+3 \right )$, where $\ast$ denotes convolution operation. The value of $y\left ( t \right )$ as $t\rig...

edited Mar 5, 2021

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GATE IN 2021 | Question: 42
A household fan consumes $\text{60 W}$ and draws a current of $\text{0.3125 A (rms)}$ when connected to a $\text{230 V (rms) ac }$, $\text{50 Hz}$ single phase mains. The reactive power drawn by the fan in $\text{VAr}$ is _______________________ (rounded off to the nearest integer).

A household fan consumes $\text{60 W}$ and draws a current of $\text{0.3125 A (rms)}$ when connected to a $\text{230 V (rms) ac }$, $\text{50 Hz}$ single phase mains. The...

edited Mar 5, 2021

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GATE IN 2021 | Question: 41
An air cored coil having a winding resistance of $10\: \Omega$ is connected in series with a variable capacitor $C_{x}$. The series circuit is excited by a $\text{10 V}$ sinusoidal voltage source of angular frequency $1000$ rad/$\text{s}$. As the value of the capacitor is varied, a maximum voltage of $\text{30 V}$ was observed across it. Neglecting skin-effect, the value of the inductance of the coil in millihenry is ___________.

An air cored coil having a winding resistance of $10\: \Omega$ is connected in series with a variable capacitor $C_{x}$. The series circuit is excited by a $\text{10 V}$ ...

edited Mar 5, 2021

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GATE IN 2021 | Question: 40
A toroid made of $\text{CRGO}$ has an inner diameter of $\text{10 cm}$ and an outer diameter of $\text{14 cm}$. The thickness of the toroid is $\text{2 cm}$. $200$ turns of copper wire is wound on the core $\mu_{o} = 4\pi\times10^{-7}$ $\text{H/m}$ and $\mu_{R}$ of $\text{CRGO}$ is $3000$. When a current of $\text{5 mA}$ flows through the winding, the flux density in the core in millitesla is ______________.

A toroid made of $\text{CRGO}$ has an inner diameter of $\text{10 cm}$ and an outer diameter of $\text{14 cm}$. The thickness of the toroid is $\text{2 cm}$. $200$ turns ...

edited Mar 5, 2021

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GATE IN 2021 | Question: 28
A slip-ring induction motor is expected to be started by adding extra resistance in the rotor circuit. The benefit that is derived by adding extra resistance in the rotor circuit in comparison to the rotor being shorted is The starting torque would be higher The power factor at start will be lower The starting current is higher The losses at starting would be lower

A slip-ring induction motor is expected to be started by adding extra resistance in the rotor circuit. The benefit that is derived by adding extra resistance in the rotor...

edited Mar 5, 2021

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GATE IN 2021 | Question: 27
A single-phase transformer has maximum efficiency of $98 \%$. The core losses are $\text{80 W}$ and the equivalent winding resistance as seen from the primary side is $0.5 \:\Omega$. The rated current on the primary side is $\text{25 A}$. The percentage of the rated input current at which the maximum efficiency occurs is $35.7\%$ $50.6\%$ $80.5\%$ $100\%$

A single-phase transformer has maximum efficiency of $98 \%$. The core losses are $\text{80 W}$ and the equivalent winding resistance as seen from the primary side is $0....

edited Mar 5, 2021

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GATE IN 2021 | Question: 22
When the movable arm of a Michelson interferometer in vacuum $(n=1)$ is moved by $325\: \mu m$ , the number of fringe crossings is $1000$. The wavelength of the laser used in nanometers is ___________________.

When the movable arm of a Michelson interferometer in vacuum $(n=1)$ is moved by $325\: \mu m$ , the number of fringe crossings is $1000$. The wavelength of the laser use...

edited Mar 5, 2021

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GATE IN 2021 | Question: 21
An amplitude modulation $\text{(AM)}$ scheme uses tone modulation, with modulation index of $0.6$. The power efficiency of the $\text{AM}$ scheme is ______________ $\%$ (rounded off to one decimal place).

An amplitude modulation $\text{(AM)}$ scheme uses tone modulation, with modulation index of $0.6$. The power efficiency of the $\text{AM}$ scheme is ______________ $\%$ (...

edited Mar 5, 2021

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GATE IN 2021 | Question: 20
A piezoresistive pressure sensor has a sensitivity of $\text{1 (mV/V) /kPa}$. The sensor is excited with a $\text{dc}$ supply of $\text{10 V}$ and the output is read using a $3$ $^1/_2$ digit $\text{200 mV}$ full-scale digital ultimeter. The resolution of the measurement set-up, in pascal is ________________.

A piezoresistive pressure sensor has a sensitivity of $\text{1 (mV/V) /kPa}$. The sensor is excited with a $\text{dc}$ supply of $\text{10 V}$ and the output is read usin...

edited Mar 5, 2021

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GATE IN 2021 | Question: 19
Given: Density of mercury is $\text{13,600 kg/}$ $m^{3}$ and acceleration due to gravity is $\text{9.81 m/s}^{2}$. Atmospheric pressure is $\text{101 kPa}$. In a mercury $\text{U}$-tube manometer, the difference between the heights of the liquid in the $\text{U}$-tube is $\text{1 cm}$. The differential pressure being measured in pascal is ___________ (rounded off to the nearest integer).

Given: Density of mercury is $\text{13,600 kg/}$ $m^{3}$ and acceleration due to gravity is $\text{9.81 m/s}^{2}$. Atmospheric pressure is $\text{101 kPa}$. In a mercury ...

edited Mar 5, 2021

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GATE IN 2021 | Question: 18
A strain gage having nominal resistance of $1000\:\Omega$ has a gage factor of $2.5$. If the strain applied to the gage is $100\:\mu m/m$, its resistance in ohm will change to __________________ (rounded off to two decimal places).

A strain gage having nominal resistance of $1000\:\Omega$ has a gage factor of $2.5$. If the strain applied to the gage is $100\:\mu m/m$, its resistance in ohm will chan...

edited Mar 5, 2021

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GATE IN 2021 | Question: 17
A $10$-bits $\text{ADC}$ has a full-scale of $\text{10.230 V}$, when the digital output is $(11\:1111\:1111)_{2}$. The quantization error of the $\text{ADC}$ in millivolt is __________________.

A $10$-bits $\text{ADC}$ has a full-scale of $\text{10.230 V}$, when the digital output is $(11\:1111\:1111)_{2}$. The quantization error of the $\text{ADC}$ in millivolt...

edited Mar 5, 2021

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GATE IN 2021 | Question: 16
A $\text{300 V}$, $\text{5 A}$, $\text{LPF}$ wattmeter has a full scale of $\text{300 W}$. The wattmeter can be used for loads supplied by $\text{300 V ac}$ mains with a maximum power factor of ___________________ (rounded off to one decimal place).

A $\text{300 V}$, $\text{5 A}$, $\text{LPF}$ wattmeter has a full scale of $\text{300 W}$. The wattmeter can be used for loads supplied by $\text{300 V ac}$ mains with a ...

edited Mar 5, 2021

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GATE IN 2021 | Question: 13
Taking $\text{N}$ as positive for clockwise encirclement, otherwise negative, the number of encirclements $\text{N}$ of $(-1,0)$ in the Nyquist plot of $G\left ( s \right )=\dfrac{3}{s-1}$ is _______________.

Taking $\text{N}$ as positive for clockwise encirclement, otherwise negative, the number of encirclements $\text{N}$ of $(-1,0)$ in the Nyquist plot of $G\left ( s \right...

edited Mar 5, 2021

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GATE IN 2021 | Question: 12
A single-phase transformer has a magnetizing inductance of $\text{250 mH}$ and a core loss resistance of $300\: \Omega$, referred to primary side. When excited with a $\text{230 V}$, $\text{50 Hz}$ sinusoidal supply at the primary, the power factor of the input current drawn, with secondary on open circuit, is ______ (rounded off to two decimal places).

A single-phase transformer has a magnetizing inductance of $\text{250 mH}$ and a core loss resistance of $300\: \Omega$, referred to primary side. When excited with a $\t...

edited Mar 5, 2021

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GATE IN 2021 | Question: 8
The signal $\sin\left ( \sqrt{2\pi t} \right )$ is periodic with period $T=\sqrt{2\pi }$ not periodic periodic with period $T=2\pi$ periodic with period $T=4\pi ^{2}$

The signal $\sin\left ( \sqrt{2\pi t} \right )$ isperiodic with period $T=\sqrt{2\pi }$not periodic periodic with period $T=2\pi$periodic with period $T=4\pi ^{2}$

edited Mar 5, 2021

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GATE IN 2021 | Question: 7
Input-output characteristic of a temperature sensor is exponential for a Thermistor Thermocouple Resistive Temperature Device $\text{(RTD)}$ Mercury thermometer

Input-output characteristic of a temperature sensor is exponential for aThermistorThermocoupleResistive Temperature Device $\text{(RTD)}$Mercury thermometer

edited Mar 5, 2021

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GATE IN 2021 | Question: 5
In an $\text{ac}$ main, the $\text{rms}$ voltage $V_{ac}$, $\text{rms}$ current $I_{ac}$ and power $W_{ac}$ are measured as: $V_{ac}=100 \: V \pm 1\%, I_{ac} = 1 \: A \pm 1\%$ and $W_{ac}=50 \: W \pm 2\%$(errors are with respect to readings). The percentage error in calculating the power factor using these readings is $1\%$ $2\%$ $3\%$ $4\%$

In an $\text{ac}$ main, the $\text{rms}$ voltage $V_{ac}$, $\text{rms}$ current $I_{ac}$ and power $W_{ac}$ are measured as: $V_{ac}=100 \: V \pm 1\%, I_{ac} = 1 \: A \p...

edited Mar 5, 2021

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GATE IN 2021 | Question: 3
An infinitely long line, with uniform positive charge density, lies along the $\text{z}$-axis. In cylindrical coordinate $\left ( r,\varnothing ,z \right )$, at any point $\vec{P}$ not on the $\text{z}$-axis, the direction of the electric field is $\hat{r}$ $\hat{\varnothing }$ $\hat{z }$ $\frac{\left ( \hat{r}+\hat{z} \right )}{\sqrt{2}}$

An infinitely long line, with uniform positive charge density, lies along the $\text{z}$-axis. In cylindrical coordinate $\left ( r,\varnothing ,z \right )$, at any point...

edited Mar 5, 2021