Complete GATE IN 2020 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 20 of 22

Question 48

Open question
INNAT2 marksNeeds review
Consider the finite sequence

. The Inverse Discrete Fourier Transform (IDFT) of

is given as

. The value of

is ____

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Question 49

Open question
INNAT2 marksNeeds review
A circuit consisting of capacitors, DC voltage source and an amplifier having a voltage gain

is shown in the figure. The effective capacitance across the nodes A and B (in μF, rounded off to one decimal place) is ____
Diagram for Instrumentation Engineering question 49


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Question 50

Open question
INNAT2 marksNeeds review
Consider the following state variable equations:

,

. The initial conditions are

and

. At

second, the value of

(rounded off to two decimal places) is ____

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