GATE IN format:nat PYQs & Answers — Page 16

Questions 151–160 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 16 of 27

A bar primary current transformer of rating 1000/1 A, 5 VA, UPF has 995 secondary turns. It exhibits zero ratio error and phase error of 30 minutes at 1000 A with rated burden. The watt loss component of the primary excitation current in ampere is __________ (rounded off to one decimal place).

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In the bridge circuit shown, the voltmeter V showed zero when the value of the resistors are:

, and

. If

, the value of

in ohm is _____.

Diagram for Instrumentation Engineering question 52

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For the full bridge made of linear strain gages with gage factor 2 as shown in the diagram,

at 0 °C and strain is 0. The temperature coefficient of resistance of the strain gages used is 0.005 per °C. All strain gages are made of same material and exposed to same temperature. While measuring a strain of 0.01 at a temperature of 50 °C, the output

in millivolt is _____ (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 53

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A signal having a bandwidth of 5 MHz is transmitted using the Pulse code modulation (PCM) scheme as follows. The signal is sampled at a rate of 50% above the Nyquist rate and quantized into 256 levels. The binary pulse rate of the PCM signal in Mbits per second is ___.

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In the figure shown, a large multimode fiber with

and

is used for sensing. A portion with the cladding removed passes through a liquid with refractive index

. An LED is used to illuminate the fiber from one end and a paper is placed on the other end, 1 cm from the end of the fiber. The paper shows a spot with radius 1 cm. The refractive index

of the liquid (rounded off to two decimal places) is __________.

Diagram for Instrumentation Engineering question 55

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A player throws a ball at a basket kept at a distance. The probability that the ball falls into the basket in a single attempt is 0.1. The player attempts to throw the ball twice. Considering each attempt to be independent, the probability that this player puts the ball into the basket only in the second attempt (rounded off to two decimal places) is ____.

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Assuming ideal opamps, the output voltage at

in the figure shown (in volts) is ____.

Diagram for Instrumentation Engineering question 17

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Three 400

resistors are connected in delta and powered by a 400 V (rms), 50 Hz, balanced, symmetrical R-Y-B sequence, three-phase three-wire mains. The rms value of the line current (in amperes, rounded off to one decimal place) is ____.

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Consider the signal

. Let

be the Fourier transform of

. The value of

is ____.

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A second order system has closed loop poles located at

. The time

at which the maximum value of the step response occurs (in seconds, rounded off to two decimal places) is ____.

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GATE IN format:nat PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 16

Question 17

Question 18

Question 19

Question 20