GATE EC 2021: Full Syllabus Rapid Mock-3 (App update required to attempt this test) for ESE & GATE EC Exams

Question 1

The untimely loss of life is a cause of serious global concern as thousands of people get killed ………… accidents every year while many other die ………. diseases like cardiovascular

Question 2

Consider the circuit shown in the figure below.

Find Rth across 3A current source?

_________(up to one decimal points)

Question 3

In a 4-bit weighted resistor DAC, the resistor value corresponding to LSB is 40 kΩ. The resistor value corresponding to MSB will be …….. k Ω.

Question 4

In the figure below, the number of two non-touching loops is/are

Question 5

In a binary communication system given below, a ‘0’ or ‘1’ is transmitted. Due to channel noise, a ‘0’ can be received as ‘1’ and vice versa. Let m₀and m₁denote events of transmitting ‘0’ and ‘1’ and r₀and r₁denote the events of receiving ‘0’ and ‘1’ respectively.

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If p(m₀) = 0.5,

=0.1 and p = 0.2, the probability that the transmitted signal is correctly read at the receivers is

Question 6

a DSB – SC signal is to be generated with a carrier frequency f_c = 1 MHz using a nonlinear device with the input – output characteristics V₀ = a₀V_i + a₁V_i³, where a₀ and a₁ are constants. The output of the non linear device can be filtered by an appropriate band pass filter. Let

where m(t) is the message signal. Then the value of f’_c (in MHz) is

Question 7

The relation between vector magnetic potential

and magnetic density

can be expressed as :

Question 8

Which of the following is valid for a intrinsic semiconductor at room temperature given m_n = 3m_p

Question 9

Consider each of the signal respectively

Which of the following signal is/are causal?

Question 10

In a typical IC monostable multivibrator circuit, at the falling edge of the trigger input, the output switches HIGH for a period of time determined by the

Question 11

The transfer characteristics of the circuit shown below:

Question 12

In the voltage regulator circuit, find power dissipation in Zener diode.
(VZ = 6V and Vi =12 V).

Question 13

A function is defined as x(t) = 1 + sgn(4 – t), the graph of x(t) is

Question 14

The z-transform function of a stable system is given as

The impulse response h[n] is

Question 15

A Si diode operates at a fixed forward bias of 0.4V. Calculate the factor by which the current will get multiplied when its temperature is raised from 25°C to 150°C .

Question 16

In a MOS capacitor, with the high frequency C-V characteristics given below have area of 2

.Given that permittivity of si and si

are 1.5

F/cm and 4

F/cm respectively.What is the oxide thickness in MOS capacitor?

Question 17

Two λ /4 transformer in tandem are to connected a 50 Ω line to a 75 Ω load as shown in figure. If Z₀₂ = 30 Ω and there is no reflection wave to the left to A. Then the characteristic impedance Z₀₁ is

Question 18

A 2m long center fed dipole antenna operates at 1 MHz. The dipole is made of copper wire (σ = 5.8 × 10⁷ S/m) with a radius of 1mm. The radiation efficiency of the antenna is ______ %.

Question 19

Discrete random variable X and Y have the joint density function given by:

f_XY(x,y) = 0.4 δ (x + α) δ (y – 2) + 0.3 δ (x –α ) δ (y – 2) +

0.1 δ (x – α)δ (y – α)+ 0.2 δ(x – 1) δ (y – 1)

The value of α that minimizes the correction between X and Y is.

Question 20

An angle modulated signal is given by

s(t) = cos 2ϖ[2×10⁶t + 30 sin150t + 40 cos150t]

The maximum frequency and phase deviation of s(t) are

Question 21

Consider a matched filter which is matched to the following signal s(t).

In the above linked question, area of output signal y(t) is _______ units?

Question 22

The unsigned decimal value for the 4-digit hexadecimal data (XXXX)₁₆ is 65534. If the same 4 digit hexadecimal data is used to represent signed 2’s complement binary data, then its decimal value is _______.

Question 23

For the components in the sequential circuit shown below, t_pd is the propagation delay, t_setup is the setup time, and t_holdis the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is …. MHz.

Question 24

Consider a control system shown in figure

If the system will respond with 10% overshoot so the value of K.

Question 25

Consider an open loop transfer function of unity feedback system

. Asymptote meet at the point is

Question 26

The minimum number of states required to describe the network shown in figure is

Question 27

Consider the two port network shown below

If

then C₂ is _______ F.

Question 28

Consider the 2 port circuit given below

Hybrid parameter h₁₂ for the circuit is _____.

Question 29

The value of

is

Question 30

In a factory of making cricket balls, there is a chance of (1/300) of it to be defective. The balls are supplied in a packet then Calculate the approximate number of packets containing at least one defective ball in a lot of 5000 packets and in each packet the number of balls is 9.