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GATE IN 2026 | Question: 14
The Kelvin double bridge is used to measure $\_\_\_\_$ valued resistances and has $\_\_\_\_$ resistors in its construction.low ; three-terminallow ; four-terminalhigh ; t...
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GATE IN 2026 | Question: 15
Active strain gauges are connected in a half-bridge configuration to measure strain in a cantilever element. When powered by a voltage source of $10$ $\mathrm{V}$, the vo...
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GATE IN 2026 | Question: 16
A glass $\mathrm{pH}$ electrode behaves linearly with an output change of $60$ $\mathrm{mV}$ per unit change in $\mathrm{pH}$. The measurement reference is set such that ...
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GATE IN 2026 | Question: 19
In a linear element, the measured current is $100 \mathrm{~mA} \pm 2.5 \%$ and the measured voltage is $5 \mathrm{~V} \pm 5 \%$. Which of the following options show $(\ma...
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GATE IN 2026 | Question: 20
Which of the following statements is/are correct for a thermocouple?It is based on the Seebeck Effect.The change in resistance is measured.The voltage difference between ...
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GATE IN 2026 | Question: 39
If the definition of $\text{SI}$ unit '$\text{X}$' is required to define SI unit '$\text{Y}$', the dependency is indicated as $\mathrm{X} \rightarrow \mathrm{Y}$. A valid...
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GATE IN 2026 | Question: 41
The emitted radiant energy from a piece of metal was measured using a pyrometer. The temperature was calculated to be $1000^{\circ} \mathrm{C}$, assuming a surface emissi...
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GATE IN 2026 | Question: 52
A digital counter increments its count every $0.1 \mu \mathrm{~s}$. The counter is used in an instrument to measure frequency. The counter is operated for one period of t...
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GATE IN 2026 | Question: 53
A current carrying semiconductor of thickness $0.7$ mm is placed in a transverse magnetic field. The measured Hall voltage is $0.9$ $\mathrm{mV}$ and the current is $6$ $...
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GATE IN 2026 | Question: 54
For a fiber Bragg grating-based sensor, the shift in the Bragg wavelength gives information about the value of the measurand. For a Bragg wavelength of $1550$ $\mathrm{nm...
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GATE IN 2025 | Question: 5
In the force transducer shown in Figure (a), four identical strain gauges $S1, S2, S3$, and $S4$ are mounted on a cantilever at equal distance from its base. $S1$ and $S2...
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GATE IN 2025 | Question: 11
In a single-phase AC circuit, the power consumed by load resistance $R_{\mathrm{L}}$ for an excitation $V_{\mathrm{S}}$ is measured using a wattmeter. The same wattmeter ...
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GATE IN 2025 | Question: 13
A $3\frac{1}{ 2}$ digit digital voltmeter has a specified accuracy of $\pm(0.5 \%+1)$. If it is used to measure $10 \:\mathrm{V}$ DC voltage, the error in the measurement...
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GATE IN 2025 | Question: 16
An oscilloscope has an input resistance of $1 \mathrm{M} \Omega$. A $10$ X passive attenuating probe is connected to it to increase the input voltage range as well as the...
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GATE IN 2025 | Question: 24
A dual-slope ADC has a fixed integration time of $100 \: \mathrm{ms}$. The reference voltage of the ADC is $-5 \: \mathrm{V}$. The time taken by the ADC to measure an inp...
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GATE IN 2025 | Question: 43
A metallic strain-gauge $(\mathrm{SG})$ with resistance $R_{\mathrm{SG}}$ is connected as shown in the figure, where $R_{\mathrm{L} 1}, R_{\mathrm{L} 2}, R_{\mathrm{L} 3}...
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GATE IN 2025 | Question: 48
The resistance of a thermistor is measured to be $2.25 \: \mathrm{k} \Omega$ at $30^{\circ} \mathrm{C}$ and $1.17 \: \mathrm{k} \Omega$ at $60^{\circ} \mathrm{C}$. Its ma...
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GATE IN 2025 | Question: 52
A series RLC circuit resonates at $7500 \: \mathrm{rad} / \mathrm{s}$ for inductance $L=20 \: \mathrm{mH}$ and resistance $R=10\: \Omega$. The uncertainties in the measur...
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GATE IN 2024 | Question: 4
Match the following measuring devices with their principle of measurement.$$\begin{array}{|l|l|} \hline \textbf{Measuring Device} & \textbf{Principle of Measurement} \\ \...
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GATE IN 2024 | Question: 18
The resistance of a $20 \mathrm{~k} \Omega$ resistor is measured six consecutive times using an LCR meter. The first five readings are $19 \mathrm{~k} \Omega, 18 \mathrm{...
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GATE IN 2024 | Question: 27
​​​​The measured values from a flow instrument, whose range is between $0$ and $2$ flow units, are shown in the histogram. The systematic error (bias) and the maximum err...
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GATE IN 2024 | Question: 29
​​​​​In the bridge circuit shown in the figure, under balanced condition, the values of $R$ and $C$ respectively, are$1.010 ~\Omega$ and $19.802 ~\mu \mathrm{F}$$9.901 ~\...
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GATE IN 2024 | Question: 37
​​​In the figure shown, assume$\alpha$ is the phase angle between the load current and the load voltage$\beta$ is the phase angle by which pressure coil current lags the ...
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GATE IN 2024 | Question: 40
The readings recorded from a $20$ -psig pressure gauge are given in the Table. The regression line obtained for the data is $y=0.04~ x+10.32$. The regression coefficient ...
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GATE IN 2024 | Question: 50
In the figure shown, $\mathrm{Sw}$ is a switch whose position changes from 1 to 0 when $\mathrm{Vc}$ changes from logic HIGH to LOW and vice versa. The bandwidth of the p...
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GATE IN 2023 | Question: 2
Inductance of a coil is measured as $10 ~ \mathrm{mH}$, using an LCR meter, when no other objects are present near the coil. The LCR meter uses a sinusoidal excitation at...
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GATE IN 2023 | Question: 4
Pair the quantities $\text{(p)}$ to $\text{(s)}$ with the measuring devices $\text{(i)}$ to $\text{(iv)}$.$\begin{array}{|l|l|}\hline \text{(i) Linear Variable Differenti...
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GATE IN 2023 | Question: 8
A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased.forward...
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GATE IN 2023 | Question: 42
The two secondaries of a linear variable differential transformer (LVDT) showed a magnitude of $2 \mathrm{~V (RMS)}$ for zero displacement position of the core. It is not...
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GATE IN 2023 | Question: 43
Five measurements are made using a weighing machine, and the readings are $80 \mathrm{~kg}, 79 \mathrm{~kg}, 81 \mathrm{~kg}, 79 \mathrm{~kg}$ and $81 \mathrm{~kg}$. The ...
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GATE IN 2023 | Question: 44
Four strain gauges $\mathrm{R}_{\mathrm{A}}, \mathrm{R}_{\mathrm{B}}, \mathrm{R}_{\mathrm{C}}$ and $\mathrm{R}_{\mathrm{D}}$, each with nominal resistance $\mathrm{R}$, a...
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GATE IN 2023 | Question: 54
A $1.999 \mathrm{~V}$ True $\text{RMS 3-1/2}$ digit multimeter has an accuracy of $\pm 0.1 \%$ of reading $\pm 2$ digits.It is used to measure $100 \mathrm{~A}$ (RMS) cur...
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GATE IN 2022 | Question: 9
The figure shows a Chromel-Alumel thermocouple, where the junction $A$ is held at temperature $T_{A},$ and a thermal emf $E_{1}$ is measured using an ideal voltmeter betw...
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GATE IN 2022 | Question: 10
The resistance of a pure copper wire of length $10 \; \text{cm}$ and diameter $1 \; \text{mm}$ is to be measured. The most suitable method from amongst the choices given ...
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GATE IN 2022 | Question: 12
In which of the following bridge(s) is the balancing condition frequency-independent?Maxwell bridgeWien bridgeSchering bridgeWheatstone bridge
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GATE IN 2022 | Question: 55
In the Wheatstone bridge circuit shown, $R_{1}=1.5 \; \text{k} \Omega$ and $R_{2}=R_{3}=R_{4}=1 \; \text{k} \Omega.$ The switch is initially open and the voltage between ...
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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 \p...
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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...
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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 ...
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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 usin...
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