GATE ECE branch:ec PYQs & Answers — Page 39

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Questions 381–390 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 39 of 72

The propagation delay of the exclusive-OR (XOR) gate in the circuit in the figure is 3 ns. The propagation delay of all the flip-flops is assumed to be zero. The clock (Clk) frequency provided to the circuit is 500 MHz.

Diagram for Electronics and Communication Engineering question 46

Starting from the initial value of the flip-flop outputs

with

, the minimum number of triggering clock edges after which the flip-flop outputs

becomes 100 (in integer) is ______.

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The circuit in the figure contains a current source driving a load having an inductor and a resistor in series, with a shunt capacitor across the load. The ammeter is assumed to have zero resistance. The switch is closed at time

Diagram for Electronics and Communication Engineering question 47

Initially, when the switch is open, the capacitor is discharged and the ammeter reads zero ampere. After the switch is closed, the ammeter reading keeps fluctuating for some time till it settles to a final steady value. The maximum ammeter reading that one will observe after the switch is closed (rounded off to two decimal places) is ______ A.

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A unity feedback system that uses proportional-integral (PI) control is shown in the figure.

Diagram for Electronics and Communication Engineering question 48

The stability of the overall system is controlled by tuning the PI control parameters

and

. The maximum value of

that can be chosen so as to keep the overall system stable or, in the worst case, marginally stable (rounded off to three decimal places) is _____.

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A sinusoidal message signal having root mean square value of 4 V and frequency of 1 kHz is fed to a phase modulator with phase deviation constant 2 rad/volt. If the carrier signal is

, the maximum instantaneous frequency of the phase modulated signal (rounded off to one decimal place) is ____ Hz.

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Consider a superheterodyne receiver tuned to 600 kHz. If the local oscillator feeds a 1000 kHz signal to the mixer, the image frequency (in integer) is _____ kHz.

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In a high school having equal number of boy students and girl students, 75% of the students study Science and the remaining 25% students study Commerce. Commerce students are two times more likely to be a boy than are Science students. The amount of information gained in knowing that a randomly selected girl student studies Commerce (rounded off to three decimal places) is ______ bits.

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A message signal having peak-to-peak value of 2 V, root mean square value of 1 V and bandwidth of 5 kHz is sampled and fed to a pulse code modulation (PCM) system that uses a uniform quantizer. The PCM output is transmitted over a channel that can support a maximum transmission rate of 50 kbps. Assuming that the quantization error is uniformly distributed, the maximum signal to quantization noise ratio that can be obtained by the PCM system (rounded off to two decimal places) is ______.

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Consider a polar non-return to zero (NRZ) waveform, using +2 V and −2 V for representing binary ‘1’ and ‘0’ respectively, is transmitted in the presence of additive zero-mean white Gaussian noise with variance 0.4 V

. If the a priori probability of transmission of a binary ‘1’ is 0.4, the optimum threshold voltage for a maximum a posteriori (MAP) receiver (rounded off to two decimal places) is _____ V.

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A standard air-filled rectangular waveguide with dimensions

cm,

cm, operates at 3.4 GHz. For the dominant mode of wave propagation, the phase velocity of the signal is

. The value (rounded off to two decimal places) of

, where

denotes the velocity of light, is _____.

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An antenna with a directive gain of 6 dB is radiating a total power of 16 kW. The amplitude of the electric field in free space at a distance of 8 km from the antenna in the direction of 6 dB gain (rounded off to three decimal places) is ______ V/m.

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GATE ECE branch:ec PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55