GATE IN format:nat PYQs & Answers — Page 18

Questions 171–180 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 18 of 27

The loop transfer function of a negative feedback system is given by

, where

. The value of

at the breakaway point of the root locus for the above system (rounded off to one decimal place) is ____

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The system shown in Fig. (a) has a time response

to an input

as shown in Fig. (b),

being the unit step input. Both

are positive. The gain

of the system is ____

Diagram for Instrumentation Engineering question 37

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Assuming that the opamp used in the circuit shown is ideal, the reading of the 1 Hz bandwidth, permanent magnet moving coil (PMMC) type voltmeter (in volts) is ____

Diagram for Instrumentation Engineering question 38

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If the opamps in the circuit shown are ideal and

mV, the steady state value of

(in volts, rounded off to two decimal places) is ____

Diagram for Instrumentation Engineering question 39

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Two T-flip flops are interconnected as shown in the figure. The present state of the flip flops are: A = 1, B = 1. The input x is given as 1, 0, 1 in the next three clock cycles. The decimal equivalent of

with A being the MSB and B being the LSB, after the 3rd clock cycle is ____

Diagram for Instrumentation Engineering question 40

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The address lines A9 … A2 of a 10 bit, 1.023 V full-scale digital to analog converter (DAC) is connected to the data lines D7 to D0 of an 8-bit microprocessor, with A1 and A0 of the DAC grounded. Now, D7 … D0 is changed from 1010 1010 to 1010 1011. The corresponding change in the output of the DAC (in mV, rounded off to one decimal place) is ____

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The real power drawn by a balanced load connected to a 400 V, 50 Hz, balanced, symmetrical 3-phase, 3-wire, RYB sequence mains is measured using the two-wattmeter method. Wattmeter W1 is connected in the R line and wattmeter W2 is connected in the B line. The line current is measured as

A. If the wattmeter W1 reads zero, the reading on W2 (in watts) is ____

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A 6½ digit timer-counter is set in the ‘time period’ mode of operation and the range is set as ‘ns’. For an input signal, the timer-counter displays 100000. With the same input signal, the timer-counter is changed to ‘frequency’ mode of operation and the range is set as ‘Hz’. The display will show the number ____

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The circuit shown uses ideal opamp powered from a supply

V. If the charge

generated by the piezoelectric sensor is of the form

μC, the peak detector output after 10 cycles of

(in volts, rounded off to one decimal place) is ____

Diagram for Instrumentation Engineering question 44

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A metallic strain gauge of resistance

with a gauge factor of 2 is bonded to a structure made of a metal with modulus of elasticity of 200 GN/m

. The value of

is 1 kΩ when no stress is applied.

is a part of a quarter bridge with three identical fixed resistors of 1 kΩ each. The bridge is excited from a DC voltage of 4 V. The structure is subjected to a stress of 100 MN/m

. Magnitude of the output of the bridge (in mV, rounded off to two decimal places) is ____

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Question 36

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Question 45