GATE IN Measurements PYQs & Answers — Page 3

Questions 21–30 of 59. Imported answers require independent review unless marked reviewed.

Topic practice 59 questionsPage 3 of 6

When the bridge given below is balanced, the current through the resistor Rₐ is _____ mA (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 30

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The full-scale range of the wattmeter shown in the circuit is 100 W. The turns ratio of the individual transformers are indicated in the figure. The RMS value of the ac source voltage

is 200 V. The wattmeter reading will be ______ W (rounded off to the nearest integer).

Diagram for Instrumentation Engineering question 34

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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).

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Four strain gauges

and

, each with nominal resistance

, are connected in a bridge configuration. When a force is applied,

and

increase by

and

decrease by

as shown. A potentiometer with total resistance

is connected as shown. If

, and

, the minimum value of resistance

required to balance the bridge is _____

(rounded off to two decimal places).

Diagram for Instrumentation Engineering question 54

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In the diagram shown, the frequency of the sinusoidal source voltage

is 50 Hz. The load voltage is 230 V (RMS), and the load impedance is

. The value of attenuator

. The multiplier output voltage

, where

and

are the inputs. The magnitude of the average value of the multiplier output

is __________ V (rounded off to one decimal place).

Diagram for Instrumentation Engineering question 61

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A 1.999 V True RMS 3-1/2 digit multimeter has an accuracy of ±0.1 % of reading ±2 digits. It is used to measure 100 A (RMS) current flowing through a line using a 100:5 ratio, Class-1 current transformer with a burden of 0.1 Ω ±0.5 %. The worst-case absolute error in the multimeter output is ________ V (rounded off to three decimal places).

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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 ______

Your answerChoose one option.

Two wire method

Three wire method

Four wire method

Ellipsometry

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In which of the following bridge(s) is the balancing condition frequency-independent?

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

Maxwell bridge

Wien bridge

Schering bridge

Wheatstone bridge

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The bridge shown is balanced when

F, and

. The 2 kHz sine-wave generator supplies a voltage of 10 V

. The value of

(in millihenry) is ______ (round off to two decimal places)

Diagram for Instrumentation Engineering question 63

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In the Wheatstone bridge circuit shown,

and

. The switch is initially open and the voltage between the points C and D is

. Upon closing the switch at

, the resistance in the arm AD changes by an amount

, and the voltage between C and D changes by

. The sensitivity of the bridge (in volt/kilohm), defined as

, is ________ (round off to two decimal places)

Diagram for Instrumentation Engineering question 65

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GATE IN Measurements PYQs

Question 30

Question 34

Question 53

Question 54

Question 61

Question 64

Question 20

Question 22

Question 63

Question 65