GATE IN kind:question PYQs & Answers — Page 52

Questions 511–520 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 52 of 65

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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A discrete-time signal

is down-sampled to the signal

such that

. The fundamental period of the down-sampled signal

is ______.

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In a control system with unity gain feedback, the transfer function of the loop-gain function is

. The phase margin of the loop-gain function

is ______ degree.

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In the circuit shown below, all transistors are n-channel enhancement mode MOSFETs. They are identical and are biased to operate in saturation mode. Ignoring channel length modulation, the output voltage

is ______ V.

Diagram for Instrumentation Engineering question 50

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In the circuit shown below, all OPAMPS are ideal. The current

A when the resistance

______ kΩ.

Diagram for Instrumentation Engineering question 51

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The parallel resistance-capacitance bridge shown below has a standard capacitance value of

and a resistance value of

. The bridge is balanced at a supply frequency of 100 Hz for

and

. The value of the dissipation factor

of the parallel combination of

and

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

Diagram for Instrumentation Engineering question 52

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In a microprocessor with a 16 bit address bus, the most significant address lines A15 to A12 are used to select a 4096 word memory unit, while lines A0 to A11 are used to address a particular word in the memory unit. If the 3 least significant lines of the address bus A0 to A2 are short-circuited to ground, the addressable number of words in the memory unit is ______.

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A signal

has a bandwidth

about a carrier frequency of

GHz as shown in Figure (a) below. In order to demodulate this signal, it is first mixed (multiplied) with a local oscillator of frequency

GHz, and then passed through an ideal low-pass filter (LPF) with a cut-off frequency of 2.8 GHz. The output of the LPF is sent to a digitizer ADC with a sampling rate of 1.6 GHz as shown in Figure (b) below. The maximum value of

so that the signal

can be reconstructed from its samples according to the Nyquist sampling theorem is ______ MHz.

Diagram for Instrumentation Engineering question 54

Diagram for Instrumentation Engineering question 54 (figure 2)

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Consider a Michelson interferometer as shown in the figure below. When the wavelength of the laser light source is switched from 400 nanometer to 500 nanometer, it is observed that the intensity measured at the output port P goes from a minimum to a maximum. This observation is possible when the smallest path difference between the two arms of the interferometer is ____ nanometer.

Diagram for Instrumentation Engineering question 55

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