GATE IN purpose:exam-prep PYQs & Answers — Page 44

Questions 431–440 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 44 of 65

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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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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