GATE IN purpose:exam-prep PYQs & Answers — Page 32

Questions 311–320 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 32 of 65

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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