Instrumentation Engineering
GATE IN format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 321–330 of 360. Imported answers require independent review unless marked reviewed.
Question 39
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Unit step response of a linear time invariant (LTI) system is given by
. Assuming zero initial condition, the transfer function of the system isYour answerChoose one option.
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The product of sum expression of a Boolean function
of three variables is given by
The canonical sum of product expression of
is given byYour answerChoose one option.
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A 2-bit synchronous counter using two J-K flip flops is shown. The expressions for the inputs to the J-K flip flops are also shown in the figure. The output sequence of the counter starting from
is 
Your answerChoose one option.
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The Boolean function F(X, Y) realized by the given circuit is
Your answerChoose one option.
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The figure shows a shape ABC and its mirror image A₁B₁C₁ across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A₁B₁C₁ is
Your answerChoose one option.
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Let
where
. Then
Your answerChoose one option.
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The eigenvalues of the matrix
areYour answerChoose one option.
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For a first order lowpass filter with unity d.c. gain and
dB corner frequency of
rad/s, the transfer function
isYour answerChoose one option.
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The connection of two 2-port networks is shown in the figure. The ABCD parameters of
and
networks are given as
and
The ABCD parameters of the combined 2-port network are
Your answerChoose one option.
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A system is described by the following differential equation:
where
and
are the input and output variables respectively. The transfer function of the inverse system isYour answerChoose one option.
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