GATE IN format:nat PYQs & Answers — Page 22

Questions 211–220 of 270. Imported answers require independent review unless marked reviewed.

Topic practice 270 questionsPage 22 of 27

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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Consider two functions

and

, where

is real. The smallest value of

for which

is _____.

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A coil having an impedance of

is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the value of the capacitor is changed so that parallel resonance occurs. The impedance across terminals p-q at resonance (in

) is _____.

Diagram for Instrumentation Engineering question 8

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An input

is applied to the system

. The corresponding steady state output is

, where the phase

(in degrees), when restricted to

, is ____ .

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Consider the transfer function

. The phase margin of

in degrees is _____.

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In the given circuit, assume that the opamp is ideal and the transistor has a

of 20. The current

(in

A) flowing through the load

is _____.

Diagram for Instrumentation Engineering question 15

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The diodes given in the circuit are ideal. At

ms,

(in Volts) is _____.

Diagram for Instrumentation Engineering question 16

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For the 3-bit binary counter shown in the figure, the output increments at every positive transition in the clock (CLK). Assume ideal diodes and the start state of the counter as 000. If output high is 1 V and output low is 0 V, the current I (in mA) flowing through the 50 Ω resistor during the 5ᵗʰ clock cycle is (up to one decimal place) ______.

Diagram for Instrumentation Engineering question 17

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GATE IN format:nat PYQs

Question 53

Question 54

Question 55

Question 4

Question 8

Question 12

Question 14

Question 15

Question 16

Question 17