GATE IN topic:measurements PYQs & Answers

Questions 1–10 of 59. Imported answers require independent review unless marked reviewed.

The Kelvin double bridge is used to measure ______ valued resistances and has ______ resistors in its construction.

Your answerChoose one option.

low ; three-terminal

low ; four-terminal

high ; three-terminal

high ; four-terminal

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In a linear element, the measured current is 100 mA ± 2.5% and the measured voltage is 5 V ± 5%. Which of the following options show(s) the consumed power?

Your answerSelect all correct options. You can choose more than one.

(500 ± 37.5) mW

(500 ± 12.5) mW

500 mW ± 7.5%

500 mW ± 2.5%

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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.

Your answerChoose one option.

300

400

600

900

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If the definition of SI unit ‘X’ is required to define SI unit ‘Y’, the dependency is indicated as X → Y. A valid order of dependencies, as per present convention, is __________.

Your answerChoose one option.

metre → second → kilogram → kelvin

second → metre → kilogram → kelvin

metre → second → kelvin → kilogram

second → kilogram → kelvin → metre

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A digital counter increments its count every 0.1 μs. 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)

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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 are mounted on the top surface and S3 and S4 are mounted on the bottom surface, as shown in the Figure (a). These strain gauges are to be connected to form a Wheatstone bridge consisting of four arms A, B, C, and D, as shown in Figure (b). From the following options, the correct order to maximize the measurement sensitivity is

Diagram for Instrumentation Engineering question 15

Your answerChoose one option.

A → S1, B → S2, C → S4, D → S3

A → S1, B → S4, C → S3, D → S2

A → S1, B → S2, C → S3, D → S4

A → S1, B → S4, C → S2, D → S3

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In a single-phase AC circuit, the power consumed by load resistance

for an excitation

is measured using a wattmeter. The same wattmeter is connected in two different topologies, Topology-A and Topology-B, as shown in the figure. Different branch currents and voltage drops are also marked in the figure. Among the following options, the condition that ensures low error in the wattmeter reading for both the topologies is

Diagram for Instrumentation Engineering question 21

Your answerChoose one option.

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

for Topology-A and

for Topology-B

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A 3½ digit digital voltmeter has a specified accuracy of

. If it is used to measure 10 V DC voltage, the error in the measurement would be

Note: Accuracy of the digital voltmeter is expressed as ± (% of reading + digit).

Your answerChoose one option.

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An oscilloscope has an input resistance of 1 M

. A 10X 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 M

, seen into the probe tip is

Your answerChoose one option.

0.9

9.1

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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

lagging power factor. The readings of the wattmeters will be

Your answerChoose one option.

15 kW and 15 kW

22.5 kW and 7.5 kW

60 kW and 30 kW

45 kW and 45 kW

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GATE IN topic:measurements PYQs

How to practice topic:measurements

Question 24

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Question 15

Question 21

Question 23

Question 26

Question 44