GATE ECE branch:ec PYQs & Answers — Page 12

Questions 111–120 of 715. Imported answers require independent review unless marked reviewed.

The intrinsic carrier concentration of a semiconductor is 2.5 × 10¹⁶ /m³ at 300 K. If the electron and hole mobilities are 0.15 m²/Vs and 0.05 m²/Vs, respectively, then the intrinsic resistivity of the semiconductor (in kΩ.m) at 300 K is ______.

(Charge of an electron e = 1.6 × 10⁻¹⁹ C.)

Your answerChoose one option.

1.65

1.25

0.85

1.95

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In the circuit shown, the identical transistors Q1 and Q2 are biased in the active region with β = 120. The Zener diode is in the breakdown region with VZ = 5 V and IZ = 25 mA.

If IL = 12 mA and VEB1 = VEB2 = 0.7 V, then the values of R1 and R2 (in kΩ, rounded off to one decimal place) are ______, respectively.

Diagram for Electronics and Communication Engineering question 47

Your answerChoose one option.

0.6 and 0.4

1.4 and 2.5

14.0 and 25.0

6.0 and 4.0

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The electron mobility μₙ in a non-degenerate germanium semiconductor at 300 K is 0.38 m²/Vs.

The electron diffusivity Dₙ at 300 K (in cm²/s, rounded off to the nearest integer) is ______.

(Consider the Boltzmann constant kB = 1.38 × 10⁻²³ J/K and the charge of an electron e = 1.6 × 10⁻¹⁹ C.)

Your answerChoose one option.

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A square metal sheet of

is placed on the

plane as shown in the figure below.

If the surface charge density (in

) on the sheet is

, then the total charge (in

, rounded off to the nearest integer) on the sheet is ______.

Diagram for Electronics and Communication Engineering question 49

Your answerChoose one option.

256

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An electric field of

is applied along the length of a copper wire of circular cross-section with diameter

. Copper has a conductivity of

The current (in Amperes, rounded off to two decimal places) flowing through the wire is ______.

Your answerChoose one option.

0.46

1.82

0.58

1.12

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Consider a non-negative function

which is continuous and bounded over the interval

. Let

and

denote, respectively, the maximum and the minimum values of

over the interval.

Among the combinations of

and

given below, choose the one(s) for which the inequality

is guaranteed to hold.

Your answerSelect all correct options. You can choose more than one.

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Which of the following statements involving contour integrals (evaluated counter-clockwise) on the unit circle

in the complex plane is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

, when

is an even integer

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Consider a system where

, and

are three internal state signals and

is the input signal. The differential equations governing the system are given by

Which of the following statements is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

The signals

, and

are bounded for all bounded inputs

There exists a bounded input such that at least one of the signals

, and

is unbounded

There exists a bounded input such that the signals

, and

are unbounded

The signals

, and

are unbounded for all bounded inputs

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The random variable

takes values in

with probabilities

and

, where

. Let

denote the entropy of

(in bits), parameterized by

. Which of the following statements is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

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Let

be a periodic signal with fundamental period

. Consider the signal

, where

. The Fourier series expansions of

and

are given by

Which of the following statements is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

for all

is periodic with a fundamental period

for all

is periodic with a fundamental period

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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