Instrumentation Engineering
GATE IN topic:process-control PYQs
Build your understanding with focused practice from past exam papers.
Questions 371–380 of 650. Imported answers require independent review unless marked reviewed.
Question 36
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Given below is the diagram of a synchronous sequential circuit with one J-K flip-flop and one T flip-flop with their outputs denoted as A and B respectively, with
,
, and
.
Starting from the initial state (AB = 00), the sequence of states (AB) visited by the circuit is
Your answerChoose one option.
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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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An air cored coil having a winding resistance of 10 Ω is connected in series with a variable capacitor
. The series circuit is excited by a 10 V sinusoidal voltage source of angular frequency 1000 rad/s. As the value of the capacitor is varied, a maximum voltage of 30 V was observed across it. Neglecting skin-effect, the value of the inductance of the coil in millihenry is _____.Log in to check the answer
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A household fan consumes 60 W and draws a current of 0.3125 A (rms) when connected to a 230 V (rms) ac, 50 Hz single phase mains. The reactive power drawn by the fan in VAr is __________ (rounded off to the nearest integer).
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Given
, where * denotes convolution operation. The value of
as
is ____________ (rounded off to two decimal places).Log in to check the answer
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The input signal shown below is passed through the filter with the following taps.
The number of non-zero output samples is _____.
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A sinusoid
, where
is the step input, is applied to a system with transfer-function
. The amplitude of the steady state output is ____.Log in to check the answer
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