GATE 2021: Toppers Quiz-21 (App update required to attempt this test) for ESE & GATE EC Exams

Question 1

For the system shown In figure, Transfer function H(s)=C(S)/R(s) is

Question 2

Output Y of the circuit shown in the figure is

Question 3

Let 6+8j be a zero of a fourth order linear phase FIR filter. Then the complex number which is NOT a zero of this filter is

Question 4

The value ‘V_x’ in the figure below is ____ (in V). (Rounded up to two decimal places)

Question 5

A low pass circuit, followed by an ideal differentiator is given by

If the input PSD is given by

The output signal power is given by________

Question 6

The logic function f(x,y) realized by the given circuit?

Question 7

A signal x (t) is defined in the range – 5 ≤ t ≤ 5 and has energy of 16 units. If a new signal y (t) is formed by transforming x (t) is given as

then the energy of the new signal y (t) will be _________ units.

Question 8

An amplifier exhibits distortion in the form of voltage fluctuations of ~ 10%. These fluctuations are to be restricted to ~ 1% by incorporating negative feedback in the amplifier circuit. If ultimate gain is desired to be 120, what should be the open loop gain of the amplifier?

Question 9

Two elements P and Q are connected in series as shown in figure. If current i(t) in the circuit is i(t) = 0.5 cos (4t – 30°) A, then which of the following set of element values is correct?

Question 10

In a 10 bit Dual slope type voltmeter, an unknown signal voltage is integrated over 25 cycles of clock, if the signal has 100 Hz pickup, then max. clock Freq. can be

Question 11

The state-space representation for a system is
X=

x +

u,
Y=

x
The transfer function Y(s)/U(s) is

Question 12

Consider the circuit shown in figure.

NMOS transistor has V_TN = 0.7V and If value of resistance R = 4KΩ; then region of operation of transistor will be

Question 13

Consider an air-filled rectangular waveguide with inside dimensions 5 cm

2cm. If the wave impedance is 222.24

for TM₁₁ mode of propagation. Then the operating frequency (in GHz)is given by

Question 14

Consider an aluminium gate-silicon dioxide p-type silicon MOS structure with tox = 450 Å. For an aluminium-silicon dioxide junction, ϕ’_m = 3.20 V and X’ = 3.25 V, E_g = 1.11 eV. The silicon doping is N_a = 3.20 V and X’ = 3.25 V, E_g = 1.11 eV . The silicon doping is Na = 2 × 10¹⁶cm^–3 and the flat-band voltage is VFB = – 1.0 V. The fixed charge, Q’_ss (number of electronic charges per unit area) will be ---------× 10¹⁰ cm^–2.

Question 15

Calculate the bias current of M₁ in the below figure. Assume μ_nC_ox = 100 μA/V² and V_TH = 0.4V. It gate voltage increases by 10 mV, what is the change in the drain voltage?

Question 16

In a rectangular waveguide for which a= 1.5cm, b=0.8cm,

and

,

The cut-off frequency and phase constant, respectively are,

Question 17

Consider a continuously operating coherent BPSK receiver with the data rate 5000 bits/s. The input digital waveforms are

S₁(t) = A cosω₀t mV

S₂ (t) = - A cos ω₀t mV

Where A = 1 mV, and the single sided noise power spectral density is

N₀=10^-11 W/Hz

Assume that the signal power and energy per bit are normalized relative to a 1Ω resistive load. What is the expected number of bit errors made in one day by the BPSK receiver? (Assume )

Question 18

Consider the circuit shown below:

All the three NMOS transistors in the circuit have V_T = 1 V, λ = 0, μ_nC_ox = 120 μA/V², L₁ = L₂ = L₃ = 1μm , then gate widths of W₁, W₂ and W₃ are

Question 19

If a root of the equation 3x³ – 4x² – 4x + 7 = 0 is found out using Newton Raphson’s method. If the first assumption for the root is 2.5, then the root after two iterations will be_______.(Upto two decimal place)

Question 20

An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabilities of hitting the plane destroyed at first, second, third and the fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane?