GATE IN year:2022 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

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

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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Given Circuit A with currents

and

as shown, the current

in Circuit B (in amperes), is ______ (round off to one decimal place)

Diagram for Instrumentation Engineering question 54

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In the balanced three-phase circuit shown,

F and the line-to-line r.m.s. voltage is 440 V at 50 Hz. The reading on the wattmeter (in watts) is ______ (round off to two decimal places)

Diagram for Instrumentation Engineering question 55

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The circuit shown is driven by a sinusoidal input voltage,

, resulting in the output voltage,

. The frequency (in kilohertz) at which the voltage gain is 0 dB is ______ (round off to two decimal places)

Diagram for Instrumentation Engineering question 56

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A conducting semi-circular loop of radius

m, with its diameter centered at the origin, rotates in the

plane about the origin with a constant angular velocity,

rad/s, as shown. A magnetic field of magnitude

T and normal to

plane exists in the region

as shown. If the loop has a resistance of 2

, and negligible inductance, the peak-to-peak current (in milliamperes) in the loop is ______ (round off to one decimal place)

Diagram for Instrumentation Engineering question 57

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In the circuit shown,

and

. If the base-to-emitter voltage of the npn BJT is 0.7 V and the collector-to-emitter voltage is 5.2 V, the

(current gain) of the BJT is ______ (round off to two decimal places)

Diagram for Instrumentation Engineering question 58

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A capacitor is constructed using two concentric spheres and air as the dielectric medium (permittivity of air = 8.854 × 10

F/m). The radii of the inner and outer spheres are

cm and

cm, respectively. The capacitance (in picofarads) is ______ (round off to 2 decimal places)

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A 1 kHz sine-wave generator having an internal resistance of 50

generates an open-circuit voltage of 10 V

. When a capacitor is connected across the output terminals, the voltage drops to 8 V

. The capacitance of the capacitor (in microfarads) is ______ (round off to two decimal places)

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GATE IN year:2022 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60