GATE IN topic:measurement PYQs & Answers — Page 37

Questions 361–370 of 650. Imported answers require independent review unless marked reviewed.

is the series expansion of

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for

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A single-phase transformer has maximum efficiency of 98%. The core losses are 80 W and the equivalent winding resistance as seen from the primary side is 0.5

. The rated current on the primary side is 25 A. The percentage of the rated input current at which the maximum efficiency occurs is

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35.7%

50.6%

80.5%

100%

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A slip-ring induction motor is expected to be started by adding extra resistance in the rotor circuit. The benefit that is derived by adding extra resistance in the rotor circuit in comparison to the rotor being shorted is

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The starting torque would be higher.

The power factor at start will be lower.

The starting current is higher.

The losses at starting would be lower.

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Consider a unity feedback configuration with a plant and a PID controller as shown in the figure.

and

with K being scalar. The closed loop is

Diagram for Instrumentation Engineering question 29

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only stable for

between -1 and +1

only stable for

stable for all values of

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The output

of the ideal OpAmp used in the circuit shown below is 5 V. Then the value of resistor

in kilo ohm (k

) is

Diagram for Instrumentation Engineering question 30

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2.5

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A Boolean function F of three variables X, Y, and Z is given as

Which one of the following is true?

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A 10½ digit Counter-timer is set in the ‘frequency mode’ of operation (with

s). For a specific input, the reading obtained is 1000. Without disconnecting this input, the Counter-timer is changed to operate in the ‘Period mode’ and the range selected is microseconds (

s, with

MHz). The counter will then display

Your answerChoose one option.

100

1000

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A J-type thermocouple has an output voltage

V, where

is the junction temperature in Celsius (°C). The thermocouple is used with reference junction compensation, as shown in the figure. The Instrumentation amplifier used has a gain G = 20. If

is 1 °C, for an input

of 100 °C, the output

of the instrumentation amplifier in millivolt is

Diagram for Instrumentation Engineering question 33

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98 mV

99 mV

100 mV

101 mV

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A laser pulse is sent from ground level to the bottom of a concrete water tank at normal incidence. The tank is filled with water up to 2 m below the ground level. The reflected pulse from the bottom of the tank travels back and hits the detector. The round-trip time elapsed between sending the laser pulse, the pulse hitting the bottom of the tank, reflecting back and sensed by the detector is 100 ns. The depth of the tank from ground level marked as x in metre is _____.

(Refractive index of water

and velocity of light in air

m/s)

Diagram for Instrumentation Engineering question 34

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A 4 × 1 multiplexer with two selector lines is used to realize a Boolean function F having four Boolean variables X, Y, Z and W as shown below.

and

denote the least significant bit (LSB) and most significant bit (MSB) of the selector lines of the multiplexer respectively.

are the input lines of the multiplexer.

Diagram for Instrumentation Engineering question 35

The canonical sum of product representation of F is

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GATE IN topic:measurement PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35