GATE IN format:nat PYQs & Answers — Page 11 — Exam Papers

Questions 101–110 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 11 of 27

A 440 V, 8 kW, 4-pole, 50 Hz, star-connected induction motor has a full load slip of 0.04. The rotor speed (in rpm) at full load is ______ (round off to one decimal place)

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The transfer function of a system is:

In the state-space representation of the system, the minimum number of state variables (in integer) necessary is ______

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A Zener diode is used as a 4 V voltage regulator in the circuit shown. Given that the diode requires a minimum current of 4 mA for voltage regulation, the maximum current (in milliamperes) permitted to flow through the load

is ______ (round off to one decimal place)

Diagram for Instrumentation Engineering question 31

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A bag contains six red balls and four blue balls. If three balls are drawn in succession with replacement, the probability that the second and third balls drawn are red is ______ (round off to two decimal places)

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In the bandpass filter circuit shown,

,

,

. The Q factor of the filter is ________ (round off to two decimal places)

Diagram for Instrumentation Engineering question 33

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The Newton-Raphson method is applied to determine the solution of

where

. If the initial guess of the solution is

, the value of the next approximation

is ________ (round off to two decimal places)

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An OPAMP has a gain of

, an input impedance of 10 M

and an output impedance of 100

. The OPAMP is used in unity-gain feedback configuration in a voltage buffer circuit. The closed-loop output impedance of the OPAMP (in milliohms) in the circuit is ________ (round off to one decimal place)

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Monochromatic light of wavelength 532 nm is used to measure the absorption coefficient of a material in a UV-Visible Spectrophotometer. The measured light intensity after transmission through a 1 cm thick sample of the material is 0.414 mW/cm

. For a sample of thickness 2 cm, the measured light intensity is 0.186 mW/cm

. The absorption coefficient (in cm

) of the material is ______ (round off to two decimal places)

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In the circuit shown, the load is driven by a sinusoidal ac voltage source

V at 50 Hz. Given

,

F,

mH and

, the power factor is ______ (round off to one decimal place)

Diagram for Instrumentation Engineering question 52

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In a unity-gain feedback control system, the plant

is controlled by a lag compensator

The slope (in dB/decade) of the asymptotic Bode magnitude plot of the loop gain at

rad/s is ______ (in integer)

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