Practice Test: Electronics Engineering (ECE)- 1 - Electronics and Communication Engineering (ECE) MCQ

# Practice Test: Electronics Engineering (ECE)- 1 - Electronics and Communication Engineering (ECE) MCQ

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## 30 Questions MCQ Test GATE ECE (Electronics) Mock Test Series 2025 - Practice Test: Electronics Engineering (ECE)- 1

Practice Test: Electronics Engineering (ECE)- 1 for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) Mock Test Series 2025 preparation. The Practice Test: Electronics Engineering (ECE)- 1 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Practice Test: Electronics Engineering (ECE)- 1 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Electronics Engineering (ECE)- 1 below.
Solutions of Practice Test: Electronics Engineering (ECE)- 1 questions in English are available as part of our GATE ECE (Electronics) Mock Test Series 2025 for Electronics and Communication Engineering (ECE) & Practice Test: Electronics Engineering (ECE)- 1 solutions in Hindi for GATE ECE (Electronics) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Practice Test: Electronics Engineering (ECE)- 1 | 65 questions in 180 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE ECE (Electronics) Mock Test Series 2025 for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
Practice Test: Electronics Engineering (ECE)- 1 - Question 1

### General solution of the differential equation x2dy + y(x + y) dx = 0 is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 1

Practice Test: Electronics Engineering (ECE)- 1 - Question 2

### If the system of equations αx + 3y + 5z = 0, 2x - 4αy + αz = 0, -4x + 18y + 7z = 0 has infinite number of solutions, then the value of α is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 2

System AX = 0 has infinite number of solutions, then |A| = 0

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Practice Test: Electronics Engineering (ECE)- 1 - Question 3

### In false position method the value of x(1) is obtained by the formula

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Practice Test: Electronics Engineering (ECE)- 1 - Question 4

If y = f(x) is the solution of the initial value problem

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Practice Test: Electronics Engineering (ECE)- 1 - Question 5

A series RLC circuit consisting of R = 10 Ω, XL = 20 Ω and XC = 20 Ω, is connected across an AC supply of 100 V (rms). The magnitude and pulse angle (with respect to supply voltage) of the voltage across the induction coil are respectively.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 5

R = 10Ω, XL = 20 Ω, XC = 20 Ω

V = 100 V (RMS)

XL = XC = 20 Ω

This is the condition of resonance. Hence the circuit is purely Resistive.

Current (I) and applied voltage (V) are in phase and hence power factor will be unity.

I = V/R = 100∠0/10 = 10∠0 A

The voltage across the inductor, VL = I XL

= (10∠0) × (20∠90°)

= 200 ∠90° V

Magnitude of voltage, |VL| = 200 V

The phase of VL = 90°

Phasor diagram:

Practice Test: Electronics Engineering (ECE)- 1 - Question 6

Two 2H inductance coils are connected in series and are magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be ______________ .H

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Practice Test: Electronics Engineering (ECE)- 1 - Question 7

The number of independent loops for a network with ‘n’ nodes and 'b' branches is

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Practice Test: Electronics Engineering (ECE)- 1 - Question 8

An infrared LED is usually fabricated from

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 8

Gallium Arsenide.

Practice Test: Electronics Engineering (ECE)- 1 - Question 9

A small concentration of minority carriers is injected into a homogenous semiconductor crystal at one point. An electric field of 10 V.cm-1 is applied across the crystal and this moves the minority carriers a distance of 1cm in 20μsec. The mobility (in cm2/Volt.sec) will be _____________ .

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Practice Test: Electronics Engineering (ECE)- 1 - Question 10

The diffusion potential across a P-N junction

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Practice Test: Electronics Engineering (ECE)- 1 - Question 11

The minimum number of NAND gates required to implement the Boolean function  is equal to

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Practice Test: Electronics Engineering (ECE)- 1 - Question 12

A 12bit ADC is operating with a 1μsec clock period and the total conversion time is seen to be 12μsec. The ADC must be of the

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 12

n x clock period = conversion time for successive approximation type ADC, where ‘n’ is the no of bits.

Practice Test: Electronics Engineering (ECE)- 1 - Question 13

is used as the chip select logic of a 4 K RAM in an 8085 system, then its memory ranne will he

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Practice Test: Electronics Engineering (ECE)- 1 - Question 14

The current gain of a bipolar transistor drops at high frequencies because of

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 14

Because of internal capacitances, there is a feed back from output to input, which reduces gain.

Practice Test: Electronics Engineering (ECE)- 1 - Question 15

Assume that the op-amp in the figure is ideal. If V, is a triangular wave, then V0 will be

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The circuit is a differentiator. A triangular wave differentiated will be a square wave.

Practice Test: Electronics Engineering (ECE)- 1 - Question 16

​In a transistor push pull amplifier

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D.C and even harmonics are removed at the output of push pull amplifier.

Practice Test: Electronics Engineering (ECE)- 1 - Question 17

For a random variable x following the probability density function p(x) shown in figure, the mean and the variance are respectively.

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Practice Test: Electronics Engineering (ECE)- 1 - Question 18

A super heterodyne radio receiver with an intermediate frequency of 455 KHz. is tuned to a station operating at 1200 KHz. The associated image frequency is _____________ KHz

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Practice Test: Electronics Engineering (ECE)- 1 - Question 19

A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a

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A rectangular pulse convolved with another rectangular pulse is a triangular pulse.

Practice Test: Electronics Engineering (ECE)- 1 - Question 20

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Practice Test: Electronics Engineering (ECE)- 1 - Question 21

Which of the following signals is / are periodic?

1.    S(t) = Cos 2t + Cos 3t + Cos 5t

2.    S(t) = exp (j8π t)

3.    S(t) = exp (-7t) Sin 10πt

4.    S(t) = Cos 2t Cos 4t

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 21

Only (1) and (2) satisfies S{t) = S(t + T).

Practice Test: Electronics Engineering (ECE)- 1 - Question 22

The fourier series of an odd periodic function, contains only

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 22

Odd periodic function will have only Sine terms, Cosine terms will be vanished.

Practice Test: Electronics Engineering (ECE)- 1 - Question 23

For a second order system, damping ratio, (ξ,) is 0 < ξ < 1, then the roots of the characteristic polynomial are

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For 0 < ξ < 1, system is under damped, roots are complex conjugate.

Practice Test: Electronics Engineering (ECE)- 1 - Question 24

The unit impulse response of a linear time invariant system is the unit step function u(t). For t > 0, the response of the system to an excitation e-at u(t), a > 0 will be

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Practice Test: Electronics Engineering (ECE)- 1 - Question 25

The phase velocity of waves propagating in a hoilow metal wave guide is

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Phase velocity will be greater than 3x108m/s.

Practice Test: Electronics Engineering (ECE)- 1 - Question 26

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 26

-i/2,i/2both are inside the contour, by cauchy Integral formula

Practice Test: Electronics Engineering (ECE)- 1 - Question 27

A bag contains five balls and it is not known how many of them are white. It is observed that two balls drawn from the bag at random are white. Find the probability that ail the balls in the bag are white.

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 27

Let Ei( be the event of the bag containing i white balls only for i = 1, 2, 3,4, 5.
Minimum number of white balls is 2.
AD the four likely events E2, E3, E4, E5 are equally likely and

Practice Test: Electronics Engineering (ECE)- 1 - Question 28

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Practice Test: Electronics Engineering (ECE)- 1 - Question 29

the closed region consisting of the cylinder x2 + y2 = 9 and the circular disk z = 0 and z = 2.

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Practice Test: Electronics Engineering (ECE)- 1 - Question 30

For the JFET amplifier shown in figure, the JFET is having μ = 50 and rd = 10 KΩ.The external resistors are Rd =10KΩ, Rs= 2 KΩ. The a.c small signal mid band voltage gain is

Detailed Solution for Practice Test: Electronics Engineering (ECE)- 1 - Question 30

## GATE ECE (Electronics) Mock Test Series 2025

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## GATE ECE (Electronics) Mock Test Series 2025

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