OpenMentor Logo
GATE-openmentor
Back to Sections
Type:

Measurements and Instruments

41 Questions
GATE→2026→Measurements→Measurements and Instruments
Q1
MCQ[1 Mark]
The Kelvin double bridge is used to measure _____ valued resistances and has _____ resistors in its construction.
GATE→2026→Measurements→Measurements and Instruments
Q2
MSQ[1 Mark]
In a linear element, the measured current is 100 mA±2.5%100 \text{ mA} \pm 2.5\% and the measured voltage is 5 V±5%5 \text{ V} \pm 5\%. Which of the following option(s) show(s) the consumed power?
GATE→2026→Measurements→Measurements and Instruments
Q3
MCQ[2 Marks]
A closed Lissajous pattern observed on an oscilloscope in the X-Y mode has three horizontal tangencies and two vertical tangencies in steady state. If the signal-frequency on channel-X is 600 Hz, then the signal-frequency on channel-Y is Hz.
GATE→2026→Measurements→Measurements and Instruments
Q4
MCQ[2 Marks]
If the definition of SI unit 'X' is required to define SI unit 'Y', the dependency is indicated as X→YX \to Y. A valid order of dependencies, as per present convention, is
GATE→2026→Measurements→Measurements and Instruments
Q5
NAT[2 Marks]
A digital counter increments its count every 0.1 \mu s. The counter is used in an instrument to measure frequency. The counter is operated for one period of the input signal to the instrument to measure its frequency. The input signal is approximately at 100 kHz. The maximum error in the measured frequency is kHz. (rounded off to the nearest integer)
GATE→2025→Measurements→Measurements and Instruments
Q6
MCQ[1 Mark]
In a single-phase AC circuit, the power consumed by load resistance RLR_{L} for an excitation Vs is measured using a wattmeter. The same wattmeter is connected in two different topologies, Topology-A and Topology-B, as shown in the figure. Among the following options, the condition that ensures low error in the wattmeter reading for both the topologies is
Figure for Question 6
GATE→2025→Measurements→Measurements and Instruments
Q7
MCQ[1 Mark]
A 3123\frac{1}{2} digit digital voltmeter has a specified accuracy of ±(0.5%+1)\pm(0.5\% + 1). If it is used to measure 10V DC voltage, the error in the measurement would be
GATE→2025→Measurements→Measurements and Instruments
Q8
MCQ[1 Mark]
An oscilloscope has an input resistance of 1 MΩ1 \text{ M}\Omega. A 10×10\times passive attenuating probe is connected to it to increase the input voltage range as well as the effective input resistance. The effective input resistance, in MΩ\text{M}\Omega, seen into the probe tip is
GATE→2025→Measurements→Measurements and Instruments
Q9
NAT[1 Mark]
A dual-slope ADC has a fixed integration time of 100 ms. The reference voltage of the ADC is -5 V. The time taken by the ADC to measure an input voltage of 1.25 V is ms (rounded off to the nearest integer).
Figure for Question 9
GATE→2025→Measurements→Measurements and Instruments
Q10
MCQ[2 Marks]
Power consumed by a three-phase balanced load is measured using two-wattmeter method. The per-phase average power drawn by the load is 30 kW at 32\frac{\sqrt{3}}{2} lagging power factor. The readings of the wattmeters will be
GATE→2025→Measurements→Measurements and Instruments
Q11
MCQ[2 Marks]
The bridge circuit, shown in Figure (a), can be equivalently represented using the circuit shown in Figure (b). The values of R1, R2, and Vc in the equivalent circuit are
Figure for Question 11
GATE→2025→Measurements→Measurements and Instruments
Q12
NAT[2 Marks]
Consider an AC bridge shown in the figure... At the bridge balance condition, the frequency of the excitation source VsV_{s} is kHz (rounded off to two decimal places).
Figure for Question 12
GATE→2025→Measurements→Measurements and Instruments
Q13
NAT[2 Marks]
In the circuit shown, the galvanometer (G) has an internal resistance of 100 \Omega. The galvanometer current IGI_{G} is \mu\text{A} (rounded off to the nearest integer).
Figure for Question 13
GATE→2025→Measurements→Measurements and Instruments
Q14
NAT[2 Marks]
A series RLC circuit resonates at 7500 rad/s for inductance L=20L = 20 mH and resistance R=10R = 10 \Omega... The percentage uncertainty in the measurement of quality factor is % (rounded off to one decimal place).
GATE→2025→Measurements→Measurements and Instruments
Q15
NAT[2 Marks]
A signal VM=5sin⁡(πt/3)V_{M} = 5 \sin(\pi t / 3) V is applied... If S is opened at t=0.5t = 0.5 s, the value of VxV_{x} at t=1.5t = 1.5 s will be V (rounded off to two decimal places).
Figure for Question 15
GATE→2024→Measurements→Measurements and Instruments
Q16
MCQ[1 Mark]
Match the following measuring devices with their principle of measurement.
GATE→2024→Measurements→Measurements and Instruments
Q17
NAT[1 Mark]
The resistance of a 20 k\Omega resistor is measured six consecutive times using an LCR meter... the last reading is k\Omega (rounded off to nearest integer).
GATE→2024→Measurements→Measurements and Instruments
Q18
NAT[1 Mark]
The voltage applied and the current drawn by a circuit are... The average power absorbed by the circuit is W (rounded off to nearest integer).
GATE→2024→Measurements→Measurements and Instruments
Q19
NAT[1 Mark]
The current i(t)i(t) drawn by a circuit is given as... The root-mean-square value of i(t)i(t) is A (rounded off to one decimal place).
GATE→2024→Measurements→Measurements and Instruments
Q20
MCQ[2 Marks]
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 error (in flow units), respectively are
Figure for Question 20
GATE→2024→Measurements→Measurements and Instruments
Q21
MCQ[2 Marks]
In the bridge circuit shown in the figure, under balanced condition, the values of R and C respectively, are
Figure for Question 21
GATE→2024→Measurements→Measurements and Instruments
Q22
MCQ[2 Marks]
In the figure shown, assume... When the load has a lagging phase angle of \alpha, which one of the following options is correct?
Figure for Question 22
GATE→2024→Measurements→Measurements and Instruments
Q23
NAT[2 Marks]
In the figure shown, R=4.5R = 4.5 k\Omega, ΔR=1.5\Delta R = 1.5 k\Omega, and INA is assumed to be ideal. The equivalent resistance between A and B is k\Omega (rounded off to nearest integer).
Figure for Question 23
GATE→2024→Measurements→Measurements and Instruments
Q24
NAT[2 Marks]
Consider the figure shown. For zero deflection in the galvanometer, the required value of resistor RxR_{x} is \Omega (rounded off to nearest integer).
Figure for Question 24
GATE→2024→Measurements→Measurements and Instruments
Q25
NAT[2 Marks]
A shielded cable with Cstray=20C_{stray} = 20 pF and Rwire=10R_{wire} = 10 \Omega is used to connect the inductive sensors as shown in the figure. The RMS value of VoutV_{out} is V (rounded off to two decimal places).
Figure for Question 25
GATE→2024→Measurements→Measurements and Instruments
Q26
NAT[2 Marks]
In the figure shown, Sw is a switch... the voltmeter reading is V (rounded off to nearest integer).
Figure for Question 26
GATE→2023→Measurements→Measurements and Instruments
Q27
MCQ[1 Mark]
Inductance of a coil is measured as 10 mH, using an LCR meter... If a pure copper sheet is brought near the coil, the same LCR meter will read
GATE→2023→Measurements→Measurements and Instruments
Q28
MCQ[1 Mark]
Capacitance 'C' of a parallel plate structure is calculated as 20 pF... If the meter is assumed to be ideal and it introduces no error due to cable capacitance, which one of the following readings is likely to be correct?
GATE→2023→Measurements→Measurements and Instruments
Q29
NAT[1 Mark]
When the bridge given below is balanced, the current through the resistor RaR_{a} is mA (rounded off to two decimal places).
Figure for Question 29
GATE→2023→Measurements→Measurements and Instruments
Q30
NAT[1 Mark]
The full-scale range of the wattmeter shown in the circuit is 100 W... The wattmeter reading will be W (rounded off to the nearest integer).
Figure for Question 30
GATE→2023→Measurements→Measurements and Instruments
Q31
NAT[2 Marks]
Five measurements are made using a weighing machine, and the readings are 80 kg, 79 kg, 81 kg, 79 kg and 81 kg. The sample standard deviation of the measurement is kg (rounded off to two decimal places).
GATE→2023→Measurements→Measurements and Instruments
Q32
NAT[2 Marks]
Four strain gauges RA,RB,RCR_{A}, R_{B}, R_{C} and RDR_{D}... If R=100R = 100 \Omega, and ΔR=1\Delta R = 1 \Omega, the minimum value of resistance RvR_{v} required to balance the bridge is \Omega (rounded off to two decimal places).
Figure for Question 32
GATE→2023→Measurements→Measurements and Instruments
Q33
NAT[2 Marks]
A short-circuit test is conducted on a single-phase transformer... The primary current (RMS) will be A (rounded off to two decimal places).
GATE→2023→Measurements→Measurements and Instruments
Q34
NAT[2 Marks]
In the diagram shown, the frequency of the sinusoidal source voltage VSV_{S} is 50 Hz... The magnitude of the average value of the multiplier output V0V_{0} is V (rounded off to one decimal place).
Figure for Question 34
GATE→2023→Measurements→Measurements and Instruments
Q35
NAT[2 Marks]
A 1.999 V True RMS 3-1/2 digit multimeter... The worst-case absolute error in the multimeter output is V (rounded off to three decimal places).
GATE→2022→Measurements→Measurements and Instruments
Q36
MCQ[1 Mark]
The resistance of a pure copper wire of length 10 cm and diameter 1 mm is to be measured. The most suitable method from amongst the choices given below is
GATE→2022→Measurements→Measurements and Instruments
Q37
MSQ[1 Mark]
In which of the following bridge(s) is the balancing condition frequency-independent?
GATE→2022→Measurements→Measurements and Instruments
Q38
NAT[2 Marks]
In the balanced three-phase circuit shown, C0=8.2C_{0} = 8.2 \mu\text{F}... The reading on the wattmeter (in watts) is (round off to two decimal places).
Figure for Question 38
GATE→2022→Measurements→Measurements and Instruments
Q39
NAT[2 Marks]
A 1 kHz sine-wave generator having an internal resistance of 50 \Omega generates an open-circuit voltage of 10 Vp−pV_{p-p}... The capacitance of the capacitor (in microfarads) is (round off to two decimal places).
GATE→2022→Measurements→Measurements and Instruments
Q40
NAT[2 Marks]
The bridge shown is balanced when R1=100R_{1} = 100 \Omega, R2=210R_{2} = 210 \Omega, C2=2.9C_{2} = 2.9 \mu\text{F}, and R4=50R_{4} = 50 \Omega... The value of L3L_{3} (in millihenry) is (round off to two decimal places).
Figure for Question 40
GATE→2022→Measurements→Measurements and Instruments
Q41
NAT[2 Marks]
In the Wheatstone bridge circuit shown... The sensitivity of the bridge (in volt/kiloohm), defined as ∣δVCDδR1∣|\frac{\delta V_{CD}}{\delta R_{1}}|, is (round off to two decimal places).
Figure for Question 41