GATE IN 2019 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 19 of 22

In the circuit shown below, the angular frequency

at which the current is in phase with the voltage is ______ rad/s.

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The transfer function relating the input

to the output

of a system is given by

. A unit-step input is applied to the system at time

. Assuming that

, the value of

at time

is ______ (Answer should be rounded off to two decimal places)

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The output of a continuous-time system

is related to its input

. If the Fourier transform of

and

are

and

respectively, and

, the value of

is ______ .

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2019 · Paper 1