Instrumentation Engineering
GATE IN format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 131–140 of 270. Imported answers require independent review unless marked reviewed.
Question 20
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A piezoresistive pressure sensor has a sensitivity of 1 (mV/V)/kPa. The sensor is excited with a dc supply of 10 V and the output is read using a 3 ½ digit 200 mV full-scale digital multimeter. The resolution of the measurement set-up, in pascal is ___.
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An amplitude modulation (AM) scheme uses tone modulation, with modulation index of 0.6. The power efficiency of the AM scheme is ____ % (rounded off to one decimal place).
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When the movable arm of a Michelson interferometer in vacuum (
) is moved by 325
m, the number of fringe crossings is 1000. The wavelength of the laser used in nanometers is _____.Log in to check the answer
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Consider the function
. The minimum value of the function in the interval [5, 10] is ___.Log in to check the answer
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Let
be defined in the complex plane. The integral
over the contour of a circle
with center at the origin and unit radius is ____.Log in to check the answer
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The determinant of the matrix M shown below is ____.
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Consider that X and Y are independent continuous valued random variables with uniform PDF given by
and
. Then
is equal to ________ (rounded off to two decimal places).Log in to check the answer
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Given
. The value of the determinant
___.Log in to check the answer
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The figure below shows an electrically conductive bar of square cross-section resting on a plane surface. The bar of mass of 1 kg has a depth of 0.5 m along the y direction. The coefficient of friction between the bar and the surface is 0.1. Assume the acceleration due to gravity to be 10 m/s². The system faces a uniform flux density
. At time
, a current of 10 A is switched onto the bar and is maintained.
When the bar has moved by 1 m, its speed in metre per second is _____ (rounded off to one decimal place).
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A toroid made of CRO has an inner diameter of 10 cm and an outer diameter of 14 cm. The thickness of the toroid is 2 cm. 200 turns of copper wire is wound on the core.
H/m and
of CRO is 3000. When a current of 5 mA flows through the winding, the flux density in the core in millitesla is _____.Log in to check the answer
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