GATE IN format:nat PYQs & Answers — Page 8

Questions 71–80 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 8 of 27

In the circuit given, the Thevenin equivalent resistance Rₜₕ across the terminals ‘a’ and ‘b’ is __________Ω (rounded off to one decimal place).

Diagram for Instrumentation Engineering question 31

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is a discrete random variable which takes values 0, 1 and 2. The probabilities are

and

. With

denoting the expectation operator, the value of

is _____ (rounded off to one decimal place).

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The diode in the circuit is ideal. The current source

mA. The magnitude of the average current flowing through the resistor R is _____ mA (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 33

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The full-scale range of the wattmeter shown in the circuit is 100 W. The turns ratio of the individual transformers are indicated in the figure. The RMS value of the ac source voltage

is 200 V. The wattmeter reading will be ______ W (rounded off to the nearest integer).

Diagram for Instrumentation Engineering question 34

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The no-load steady-state output voltage of a DC shunt generator is 200 V when it is driven in the clockwise direction at its rated speed. If the same machine is driven at the rated speed but in the opposite direction, the steady-state output voltage will be _______V (rounded off to the nearest integer).

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A silica-glass fiber has a core refractive index of 1.47 and a cladding refractive index of 1.44. If the cladding is completely stripped out and the core is dipped in water having a refractive index of 1.33, the numerical aperture of the modified fiber is ______ (rounded off to three decimal places).

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In the circuit shown,

rad/s,

and

mH. The capacitance

for which

is purely real is ____________ mF (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 46

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The R-L circuit with

and

mH is excited by a step current

. At

, there is a current

flowing through the inductor. The minimum time taken for current through the inductor to reach 99% of its final value is ______

s (rounded off to two decimal places).

Diagram for Instrumentation Engineering question 47

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Consider a standard negative feedback configuration with

and the controller

. The root-locus of

is presented in the figure below.

Diagram for Instrumentation Engineering question 48

The gain

rad/s. The value of

is ______ (rounded off to one decimal place).

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How many five-digit numbers can be formed using the integers 3, 4, 5 and 6 with exactly one digit appearing twice?

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GATE IN format:nat PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 45

Question 46

Question 47

Question 48

Question 49