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GATE 2019: SEMI SYLLABUS QUIZ 1 (App update required to attempt this test)

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Question 1

The Fourier transform of

Question 2

The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in figure, is
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image005.png$

Question 3

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

Question 4

Consider the circuit shown below

$Description: E:\Gate\Gate-EC\03_Elctro-Devic_B-done_files\image037.png$

Assuming V_T to be 25 mV, the diffusion resistance of the diode shwn above will be_________ $Description: E:\Gate\Gate-EC\03_Elctro-Devic_B-done_files\image038.png$ .(take $Description: E:\Gate\Gate-EC\03_Elctro-Devic_B-done_files\image039.png$ =1)

Question 5

If A =

and C = (B A B^-1)( B^-1 A^T B) where │B│≠ 0 then k= ‘ ? ’ such that k² = det(C)

Question 6

Let x(t) be represented as shown in the figure

The even part of the signal can be represented as

Question 7

If a signal x[n] = {2, 1, 0, − 1, 3} is applied at input to a system whose impulse response is

, Where h[n] = {1,-3,2}. The output of the system is given as

. If discrete time Fourier transform of

is given as

, then the value of

is _______.

Question 8

A two-port network has scattering parameters given by

. If the port-2 of the two-port is short circuited, the s₁₁ parameter for the resultant one-port network is

Question 9

In the circuit shown, the initial voltages across the capacitors C₁ and C₂ are 1V and 3V, respectively. The switch is closed at time t = 0. The total energy dissipated (in Joules) in the resistor R until steady state is reached is ________

Question 10

A unity feedback system has an open loop transfer function

. The phase margin in degrees will be ________.

Question 11

The asymptotic Bode phase plot of

with k and p₁ both positive, is shown below.

The value of p₁ is______

Question 12

Considering a uniform semiconductor bar as follows of length 1 µm where A is the point at one-fourth of the bar, B is the point exactly at the centre and C is at the extreme right of the bar. The voltage gradually increases to the right. What will be the field intensity at A, B and C points.

Question 13

A GaAs laser has a threshold density of 500 A/cm² . The laser has dimensions of

. The active region is

. The electron-hole recombination time at threshold is 1.5 ns. The current density of 5J_this injected into the laser. The optical power emitted, if emitted photons have an energy of 1.43 eV, is

Question 14

A bolt is manufactured by 3 machines A, B and C. Machine A turn out twice as many items as B, and machines B and C produce equal number of items. 2% of bolts produced by A and B are defective and 4% of bolts produced by C are defective. All bolts put into 1 stock pile and 1 is chosen from this pile. The probability that it is defective is __________ x 10^-1.

Question 15

is________.

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ESE & GATE EC General

Nov 9ESE & GATE EC