GATE ECE format:nat PYQs & Answers — Page 9

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Questions 81–90 of 239. Imported answers require independent review unless marked reviewed.

Topic practice 239 questionsPage 9 of 24

Consider the circuit shown in the figure.

Diagram for Electronics and Communication Engineering question 19

The value of

(rounded off to one decimal place) is __________ V.

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An 8-bit unipolar (all analog output values are positive) digital-to-analog converter (DAC) has a full-scale voltage range from 0 V to 7.68 V. If the digital input code is 10010110 (the leftmost bit is MSB), then the analog output voltage of the DAC (rounded off to one decimal place) is __________ V.

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The autocorrelation function

of a wide-sense stationary random process

is shown in the figure. The average power of

is ______.

Diagram for Electronics and Communication Engineering question 21

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Consider a carrier signal which is amplitude modulated by a single-tone sinusoidal message signal with a modulation index of 50%. If the carrier and one of the sidebands are suppressed in the modulated signal, the percentage of power saved (rounded off to one decimal place) is ______.

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A speech signal, band limited to 4 kHz, is sampled at 1.25 times the Nyquist rate. The speech samples, assumed to be statistically independent and uniformly distributed in the range −5 V to +5 V, are subsequently quantized in an 8-bit uniform quantizer and transmitted over a voice-grade AWGN telephone channel. If the ratio of transmitted signal power to channel noise power is 26 dB, the minimum channel bandwidth required to ensure reliable transmission of the signal with arbitrarily small probability of transmission error (rounded off to two decimal places) is ______ kHz.

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A 4 kHz sinusoidal message signal having amplitude 4 V is fed to a delta modulator (DM) operating at a sampling rate of 32 kHz. The minimum step size required to avoid slope overload noise in the DM (rounded off to two decimal places) is ______ V.

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The refractive indices of the core and cladding of an optical fiber are 1.50 and 1.48, respectively. The critical propagation angle, which is defined as the maximum angle that the light beam makes with the axis of the optical fiber to achieve the total internal reflection, (rounded off to two decimal places) is ______ degree.

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A real

non-singular matrix

with repeated eigenvalue is given as

where

is a real positive number. The value of

(rounded off to one decimal place) is ________.

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For a vector field

in a cylindrical coordinate system

with unit vectors

and

, the net flux of

leaving the closed surface of the cylinder

(rounded off to two decimal places) is ________.

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In the circuit shown in the figure, the switch is closed at time

, while the capacitor is initially charged to

(i.e.,

The time after which the voltage across the capacitor becomes zero (rounded off to three decimal places) is ________ ms.

Diagram for Electronics and Communication Engineering question 38

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GATE ECE format:nat PYQs

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 36

Question 37

Question 38