GATE 2021: Toppers Mini Mock Quiz 5 (App update required to attempt this test) for ESE & GATE EC Exams

Question 1

The defining feature of the economic programme of independent India’s first government was accelerating the transition to a modern economy dominated by industry. Agriculture and related activities at that time accounted for around half of the gross domestic product (GDP) and modern industry in the form of factory establishments for just above 6 per cent.
Which of the following conclusions can be drawn from the above paragraph?

Question 2

The sentences of a paragraph have been jumbled up and labelled P, Q, R and S. Select the option that gives the correct sequence in which these sentences should be rearranged to form a meaningful paragraph.

Satellites have been launched into space for various purposes.

P : The other satellites we have launched are the Bhaskara, Apple and Insat-IA, IB, IC.

Q : We have launched our first satellite Aryabhatta on 19th April, 1975.

R : Our latest achievement is the launching of PSLV rocket.

S : Therefore in satellite technology, we are able to compete with other developed countries.

Only a few other countries have developed satellite technology.

Question 3

The minimum no of two input NAND gate are required to implement the Boolean function Z=AB'C, Assuming that A, B and C are available is

Question 4

A newly constructed feedback amplifier undergoes a performable test with the following result with the feedback connection removed, a source signal of 2mV is required to provide a 10V output to the load, with the feedback connection, a 10V output requires a 200mV source signal. For this amplifier, the value of feedback factor B is equal to

Question 5

A silicon p⁺ n diode (N_a >> N_d) has junction area of 1.6 cm², donor concentration of 10¹³ cm^–3, diffusion coefficient of holes is 6.5 cm² /sec and diffusion length of holes is 2

, if a forward bias voltage of 0.65 V is applied across the diode, then the forward current of the diode will be ______ mA .

(Assume h = 2, V_T = 26 mV, n_i = 1.5 × 10¹⁰ cm^–3)

Question 6

Consider continuous random function with probability density function

Standard deviation of random variable is

Question 7

Consider the control system shown below.

For unit step input, the time constant of the system is given by ________ sec.

Question 8

The drain of an n–channel MOSFET is shorted to the gate. The threshold voltage (V_T) of MOSFET is 1 V. If the drain current I_D is 1 mA for V_GS = 2V, then for V_GS = 3V, the drain current I_D will be ____________ mA

Question 9

A state-space representation of a system is given by

and x(0) =

The time response of this system will be

Question 10

An n–channel EMOSFET operating in saturation region has thereshold voltage V_th = 1 V, gate oxide capacitance, C_ox = 4 × 10^–8 F/cm² mobility of electrons

= 1250 cm² /V–sec, channel width W = 20

and channel length modulation parameter l = If the drain current I_D = 1 mA for V_GS = 3 V, then the channel length of the MOSFET will be _________

.

Question 11

Power spectral density of message in given by, S_m(ω) = P rect (ω/2α), α = 8000 π,

The noise has PSD; S_n(ω) = 10^–8

If the minimum output SNR at receiver > 30 dB the minimum transmission bandwidth (in Hz) required is

Question 12

Consider the following equations:

The system of equations will be______.

Question 13

In the given series RC circuit, determine the value of R (in Ω), if the current in the circuit at t = 0.5 s is 1.95 A and at t = 2 s is 1.8 A?

Question 14

For an electric field E = Eo sinωt. What is the phase difference (in degree) between the conduction current and displacement current ?

Question 15

Two concentric spherical surfaces with r = 4m and r = 8 m having uniform surface charge densities 40 nC/m² and 20 nC/m² respectively. The radial electric flux density at r = 6m is ________ nC/m².

Question 16

Select the word which means the same as the group of words given.

Too unimportant to consider

Question 17

Manali invested certain amount in three different schemes A, B and C at the rate of interest 10% p.a., 15% p.a., 18% p.a. respectively. If total interest at the end of one year was Rs. 3720 and the amount invested in scheme A was 150% of the amount invested in scheme B and 220% of the amount invested in scheme C. What was the amount invested in Scheme B?

Question 18

The table shows the production of different types of cars (in thousands).

The total production of type B cars in 2015 and type D cars 2016 is what percent less than the total production of type E cars in five years?

Question 19

In the circuit shown in figure, voltage V₀ is

Question 20

The electric flux density is six times the polarization inside a certain dielectric material. The dielectric constant of the material is _________?

Question 21

The directional derivative of

at

in the direction of line PQ, where

, is _____.

Question 22

For a cosine and sine function, the exponential Fourier series coefficient c_n have the property

Question 23

The Laplace transform of a function is given by

Question 24

The open loop transfer function of the system is G(s) H(s) =

. The root locus will intersect j

axis at A, the asymptotic line intersect j

at point B

The values are

Question 25

Consider the open loop transfer function of unity feedback system as

The maximum phase angle provided by this system is

Question 26

A ternary channel emits 3 symbols x₁, x₂ and x₃ with probabilities P_x(x₁) = 0.4 and P_x(x₂) = P_x(x₃) = Q. The mutual information I(x|y) (in bits/symbol) would be given as (p is given to be 0.8)

Question 27

An ideal MOS capacitor has a p–type substrate with a doping concentration of 10¹⁶ cm^–3 Boron atoms / cm³. If a positive DC gate voltage is applied, then the maximum width of space charge region that can exist in the substrate is ________ μm_.

_{(Assume, ε}_Si = 1.04 × 10^–12 F /cm, kT/q = 26 mV and n_i = 1.5 × 10¹⁰ cm^–3)

Question 28

A binary receiver system receiver a bit rate of 1 Mbps. The amplitude of the waveform is 3 mV and the two sided noise power spectral density is 0.2

10^-11 W/Hz. If erfc(x)=

then the average bit probability for BPSK signal is_______.

Question 29

Consider a signal x(t) = 2 cos(150πt +

which is sampled at a rate of 200 Hz. What will be the period of resulting discrete signal?

Question 30

For the medium with

and

then value of β in rad/m will be:

Question 31

The phase shift oscillator shown below operates f = 80 kHz. The value of resistance R_F is

Question 32

If the initial rate of rise of the current

is 1.25 A/s, find the value of L(in H).

Question 33

is

Question 34

A 8192 bit dynamic RAM is designed in such as way that, it’s number of rows is 8 times to its number of columns. Then the number of words in this memory (in Decimal) is ………….

Question 35

x(n) = 0 for n < -1, n > 0 and x(-1) = -1, x(0) = 2 is the input and y(n) = 0 for n < -1, n > 2 and y(-1) = -1 = y(1), y(0) = 3, y(2) = -2is the output of a discrete time LTI system. The system impulse response h(n) will be