GATE IN format:nat PYQs & Answers — Page 17

Questions 161–170 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 17 of 27

Assume that the opamp in the circuit shown is ideal. The value of

(in k

) is ____.

Diagram for Instrumentation Engineering question 21

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A sinusoid of 10 kHz is sampled at 15 k samples/s. The resulting signal is passed through an ideal low pass filter (LPF) with cut-off frequency of 25 kHz. The maximum frequency component at the output of the LPF (in kHz) is ____.

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A 200 mV full-scale dual-slope analog to digital converter (DS-ADC) has a reference voltage of 100 mV. The first integration time is set as 100 ms. The DS-ADC is operated in the continuous conversion mode. The conversion time of the DS-ADC for an input voltage of 123.4 mV (in ms, rounded off to one decimal place) is ____.

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The capacitance

of a capacitive type sensor is

pF, where

is the input to the sensor. As shown in the figure, the sensor is excited by a voltage

V. The other terminal of the sensor is tied to the input of a high input impedance amplifier through a shielded cable, with shield connected to ground. The cable capacitance is 100 pF. The peak of the voltage

at the input of the amplifier when

(in volts) is ____.

Diagram for Instrumentation Engineering question 24

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Two 100

resistors, having tolerance 3 % and 4 % are connected in series. The effective tolerance of the series combination (in %, rounded off to one decimal place) is ____.

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Consider the function

. The minimum value the function attains on the line

(rounded off to one decimal place) is ____

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Consider two identical bags B1 and B2 each containing 10 balls of identical shapes and sizes. Bag B1 contains 7 Red and 3 Green balls, while bag B2 contains 3 Red and 7 Green balls. A bag is picked at random and a ball is drawn from it, which was found to be Red. The probability that the Red ball came from bag B1 (rounded off to one decimal place) is ____

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The rms value of the phasor current

in the circuit shown (in amperes) is ____

Diagram for Instrumentation Engineering question 33

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In the circuit shown, the rms value of the voltage across the 100 Ω resistor (in volts) is ____

Diagram for Instrumentation Engineering question 34

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Let

and

. Consider

, where

denotes the convolution operator. The value of

is ____

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GATE IN format:nat PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 31

Question 32

Question 33

Question 34

Question 35