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GATE 2019 : Full Revision Test (App update required to attempt this test)

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Question 1

The transconductance of a FET used in an amplifier circuit is 4000 micro-siemens. The load resistance is 15kΩ and drain circuit resistance is 10 MΩ. Calculate the voltage gain of the amplifier circuit.

Question 2

The parameter of n-channel depletion mode MOSFET are Vth = -2.5V and Kn =1 mA/V2 and VGS= 0V, VDS = 0.8 V then what will be the value of current ID ?

Question 3

In a DSB system the carrier is c(t) = A cos 2πfc(t) and the message signal is given by
m(t) = sinc(t) +sinc2(t)  
The bandwidth of the modulated signal is_______(Hz)

Question 4

Consider a discrete-time channel Y =- X + Z, where the additive noise z is signal-dependent. In particular, given the transmitted symbol at any instant, the noise sample Z is chosen independently from a Gaussian distribution with mean and unit variance. Assume a threshold detector with zero threshold at the receiver.
When = 0, the BER was found to be
When = −0.3, the BER is closest to

Question 5

A unity feedback control system has forward path transfer function as

The rise time will be ____ sec.

Question 6

For the step response of the system [i.e. find y(t) when x(t) is a unit step function and the initial conditions are zero]

Question 7

To implement the simplified value of the following Boolean functions minimum of how many AND, NOT and OR gate are required
f(A,B,C,D)=

Question 8

A 16-bit ripple Carry adder is realized using 16 identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is 12 ns and the sum-propagation delay of each FA is 15 ns. The worst case delay (in ns) of this 16-bit adder will be __________.

Question 9

Consider an rectangular waveguide filled with lossless dielectric operating at 4 GHz. It the guide phase constant is 50 ° per cm, then the critical wave number is ______ rad/m.

Question 10

A medium is divided into two regions I and II about z = 0 plane as shown in the figure below.

In the interface carries surface current = (A/m)
and magnetic flux density in region II
=+
the magnetic flux density in region I, is given by

Question 11

A rectangular semiconductor of length l=4mm, cross-sectional area A=10-4 mm2, made of intrinsic Si material conducts 50pA current. Also, the electron mobility is 1300 cm2/V-s, hole mobility is 500 cm2/V-s and carrier density 1.48x1010 electrons (holes)/cm3 at 3000K. Determine the voltage drop along the length of the conductor.

Question 12

A pure semiconductor is doped with donor impurities to the extent of 1:107. How many times the conductivity is increased in semiconductor due to doping. If the total number of atoms is 4.421 x 1022 /cm3, intrinsic concentration is 2.5 x 1013 atoms/ cm3, electron mobility is 3800 cm2/V-s and hole mobility is 1800 cm2/V-s

Question 13

Match the application to appropriate numerical method.

Question 14

Two machines, A and B, manufacture a particular component. Here is the chart showing each machine's effectiveness:

If a component chosen at random is found to be faulty, what is the probability that it was produced by machine A?

Question 15

A 4 – point DFT of a sequence x [n] is denoted by X [k], where (for k = 0, 1, 2, 3), where n0 is a constant integer and N = 4. The energy of the signal x [n] is given as _______ units.

Question 16

The transfer function of a causal LTI system is H(s) = 1/s. If the input to the system is Where u(t) is a unit step function, the system output y(t) as is ______.

Question 17

In this question, a given statement is followed by two courses of action: C1 and C2. Assume that everything given in the statement and/or course(s) of action to be true even if it appears to be at variance with the norm.
Statement: “A large part of the colony was flooded as the main pipeline carrying drinking water burst when the workers of a telecom company were laying new underground cables in the colony, “C1: The civic authorities should immediately arrange to repair the damage and prevent further wastage of water.
C2: The civic authorities should seek an explanation and compensation from the telecom company for the damage caused by their action.

Question 18

Choose the most appropriate word to fill in the blanks in the given sentence:
Each occupation has its own _______; bankers, lawyers and IT professionals, for example, all use among themselves a language which outsiders have difficulty in assimilating.

Question 19

A triangle in the xy-plane is bounded by the straight lines 2x = 3y, y = 0 and x = 3. The volume above the triangle and under the plane x + y + z = 6 is ______

Question 20

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?
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Jun 8ESE & GATE EC