GATE IN Measurements PYQs & Answers — Page 2

Questions 11–20 of 59. Imported answers require independent review unless marked reviewed.

A metallic strain-gage (SG) with resistance

is connected as shown in the figure, where

represent the lead wire resistances. The SG has a gauge factor of 2 and nominal resistance

. When the SG is subjected to a tensile strain of

, the resulting change in

. The

value is measured as

. The

and

are the equivalent resistances measured between the terminals 1 and 2, and terminals 2 and 3, respectively.

, and

, the measured value of tensile strain is ___

(rounded off to two decimal places).

Diagram for Instrumentation Engineering question 53

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A series RLC circuit resonates at 750 rad/s for inductance L = 20 mH and resistance R = 10

. The uncertainties in the measurement of L and R are 0.8 mH and 0.3

, respectively. The percentage uncertainty in the measurement of quality factor is ______% (rounded off to one decimal place).

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The resistance of a 20 kΩ resistor is measured six consecutive times using an LCR meter. The first five readings are 19 kΩ, 18 kΩ, 23 kΩ, 21 kΩ and 17 kΩ. If the mean of the measurements and the true value are equal, the last reading is ________ kΩ (rounded off to nearest integer).

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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

Diagram for Instrumentation Engineering question 37

Your answerChoose one option.

0.12 and 0.14

0.01 and 0.10

0.10 and 0.14

0.04 and 0.12

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In the bridge circuit shown in the figure, under balanced condition, the values of R and C respectively, are

Diagram for Instrumentation Engineering question 39

Your answerChoose one option.

1.010 Ω and 19.802 μF

9.901 Ω and 0.505 μF

19.802 Ω and 1.01 μF

39.604 Ω and 2.02 μF

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In the figure shown, assume

is the phase angle between the load current and the load voltage

is the phase angle by which pressure coil current lags the pressure coil voltage of the wattmeter

is the phase angle between currents in the pressure coil and the current coil of the wattmeter

is the phase angle of the voltage transformer

is the phase angle of the current transformer

When the load has a lagging phase angle of

, which one of the following options is correct?

Diagram for Instrumentation Engineering question 47

Your answerChoose one option.

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The readings recorded from a 20-psig pressure gauge are given in the Table. The regression line obtained for the data is

. The regression coefficient of determination,

______ (rounded off to three decimal places).

	1	2	3	4	5
(psig)	10.3	10.5	10.4	10.5	10.5

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Consider the figure shown. For zero deflection in the galvanometer, the required value of resistor R_x is ____ Ω (rounded off to nearest integer).

Diagram for Instrumentation Engineering question 54

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In the figure shown, S_W is a switch whose position changes from 1 to 0 when V_C changes from logic HIGH to LOW and vice versa. The bandwidth of the permanent magnet moving coil (PMC) type voltmeter is 1 Hz. If V_sense = 2 sin(4000πt) V and V_ref = 4 sin(2000πt) V, the voltmeter reading is ______ V (rounded off to nearest integer).

Note: Assume all components are ideal.

Diagram for Instrumentation Engineering question 60

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Capacitance ‘

’ of a parallel plate structure is calculated as 20 pF using

, where

is the permittivity of free space,

is the relative permittivity of the dielectric,

is the overlapping area of the electrodes and

is the distance between them. The value of

is then measured using an LCR meter. 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?

Your answerChoose one option.

20.5 pF

20 pF

19.5 pF

10 pF

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GATE IN Measurements PYQs

Question 53

Question 62

Question 28

Question 37

Question 39

Question 47

Question 50

Question 54

Question 60

Question 15