GATE ECE topic:signals-and-systems PYQs & Answers — Page 26

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topic:signals-and-systems

Questions 251–260 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 26 of 72

In an extrinsic semiconductor, the hole concentration is given to be

where

is the intrinsic carrier concentration of

. The ratio of electron to hole mobility for equal hole and electron drift current is given as ______ (rounded off to two decimal places).

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The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure

Diagram for Electronics and Communication Engineering question 57

. The transfer function of the system is

, where

and

are positive constants. The value of

is ______ (rounded off to the nearest integer).

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Let

and

is shown in the figure below. For

, the

is ____________________ (rounded off to the nearest integer).

Diagram for Electronics and Communication Engineering question 58

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Let

be a white Gaussian noise with power spectral density

W/Hz. If

is input to an LTI system with impulse response

. The average power of the system output is ________ W (rounded off to two decimal places).

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A transparent dielectric coating is applied to glass (

) to eliminate the reflection of red light (

). The minimum thickness of the dielectric coating, in

m, that can be used is ________ (rounded off to two decimal places).

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In a semiconductor device, the Fermi-energy level is 0.35 eV above the valence band energy. The effective density of states in the valence band at T = 300 K is

. The thermal equilibrium hole concentration in silicon at 400 K is _________

(rounded off to two decimal places).

Given kT at 300 K is 0.026 eV.

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A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of 1

s. The time for the sampling switch to stay closed to charge a capacitor adequately to a full scale voltage of 1 V with 12-bit accuracy is ______

s (rounded off to two decimal places).

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In a given sequential circuit, initial states are

and

. For a clock frequency of 1 MHz, the frequency of signal

in kHz, is _________ (rounded off to the nearest integer).

Diagram for Electronics and Communication Engineering question 63

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In the circuit below, the voltage

is __________ V (rounded off to two decimal places).

Diagram for Electronics and Communication Engineering question 64

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The frequency of occurence of 8 symbols (a-h) is shown in the table below. A symbol is chosen and it is determined by asking a series of “yes/no” questions which are assumed to be truthfully answered. The average number of questions when asked in the most efficient sequence, to determine the chosen symbol, is ______ (rounded off to two decimal places).

Symbols	a	b	c	d	e	f	g	h
Frequency of occurence

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GATE ECE topic:signals-and-systems PYQs

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65